{"id":2864,"date":"2024-04-07T15:11:38","date_gmt":"2024-04-07T09:41:38","guid":{"rendered":"https:\/\/mysitedemo.in\/iit\/?p=2864"},"modified":"2026-04-27T15:33:38","modified_gmt":"2026-04-27T10:03:38","slug":"dr-arun-kumar","status":"publish","type":"post","link":"\/maths\/?p=2864","title":{"rendered":"Dr. Arun Kumar"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"2864\" class=\"elementor elementor-2864\" data-elementor-post-type=\"post\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e322a2b e-con-full e-flex e-con e-parent\" data-id=\"e322a2b\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t<div class=\"elementor-element elementor-element-133d579 e-con-full e-flex e-con e-child\" data-id=\"133d579\" data-element_type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-eb40695 e-con-full e-flex e-con e-child\" data-id=\"eb40695\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t<div class=\"elementor-element elementor-element-e0630dc e-con-full e-flex e-con e-child\" data-id=\"e0630dc\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5d1d5ed elementor-widget elementor-widget-image\" data-id=\"5d1d5ed\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"200\" height=\"198\" src=\"\/maths\/wp-content\/uploads\/2024\/03\/Dr_arun.jpg\" class=\"attachment-full size-full wp-image-1388\" alt=\"\" srcset=\"\/maths\/wp-content\/uploads\/2024\/03\/Dr_arun.jpg 200w, \/maths\/wp-content\/uploads\/2024\/03\/Dr_arun-150x150.jpg 150w\" sizes=\"(max-width: 200px) 100vw, 200px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-f7ac483 e-flex e-con-boxed e-con e-child\" data-id=\"f7ac483\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-609cbc9 elementor-widget elementor-widget-heading\" data-id=\"609cbc9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Dr. Arun Kumar<\/h4>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7db05b5 elementor-widget elementor-widget-heading\" data-id=\"7db05b5\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">Associate Professor<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-23da870 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"23da870\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Department of Mathematics<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Indian Institute of Technology Ropar<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Rupnagar, Punjab - 140001, India<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1c383cd elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"1c383cd\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-address-card\" viewBox=\"0 0 576 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M528 32H48C21.5 32 0 53.5 0 80v352c0 26.5 21.5 48 48 48h480c26.5 0 48-21.5 48-48V80c0-26.5-21.5-48-48-48zm-352 96c35.3 0 64 28.7 64 64s-28.7 64-64 64-64-28.7-64-64 28.7-64 64-64zm112 236.8c0 10.6-10 19.2-22.4 19.2H86.4C74 384 64 375.4 64 364.8v-19.2c0-31.8 30.1-57.6 67.2-57.6h5c12.3 5.1 25.7 8 39.8 8s27.6-2.9 39.8-8h5c37.1 0 67.2 25.8 67.2 57.6v19.2zM512 312c0 4.4-3.6 8-8 8H360c-4.4 0-8-3.6-8-8v-16c0-4.4 3.6-8 8-8h144c4.4 0 8 3.6 8 8v16zm0-64c0 4.4-3.6 8-8 8H360c-4.4 0-8-3.6-8-8v-16c0-4.4 3.6-8 8-8h144c4.4 0 8 3.6 8 8v16zm0-64c0 4.4-3.6 8-8 8H360c-4.4 0-8-3.6-8-8v-16c0-4.4 3.6-8 8-8h144c4.4 0 8 3.6 8 8v16z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Office:  C-M26, Mezzanine Floor, SAB building<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-phone-square-alt\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M400 32H48A48 48 0 0 0 0 80v352a48 48 0 0 0 48 48h352a48 48 0 0 0 48-48V80a48 48 0 0 0-48-48zm-16.39 307.37l-15 65A15 15 0 0 1 354 416C194 416 64 286.29 64 126a15.7 15.7 0 0 1 11.63-14.61l65-15A18.23 18.23 0 0 1 144 96a16.27 16.27 0 0 1 13.79 9.09l30 70A17.9 17.9 0 0 1 189 181a17 17 0 0 1-5.5 11.61l-37.89 31a231.91 231.91 0 0 0 110.78 110.78l31-37.89A17 17 0 0 1 299 291a17.85 17.85 0 0 1 5.91 1.21l70 30A16.25 16.25 0 0 1 384 336a17.41 17.41 0 0 1-.39 3.37z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Phone: 0188123-2305 (O)<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"mailto:arun.kumar@iitrpr.ac.in\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-envelope\" viewBox=\"0 0 512 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Email : arun.kumar@iitrpr.ac.in<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-db20d41 e-flex e-con-boxed e-con e-child\" data-id=\"db20d41\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9507f15 elementor-arrows-position-outside elementor-hidden-desktop elementor-hidden-tablet elementor-hidden-mobile elementor-widget elementor-widget-image-carousel\" data-id=\"9507f15\" data-element_type=\"widget\" data-settings=\"{&quot;slides_to_show&quot;:&quot;3&quot;,&quot;navigation&quot;:&quot;arrows&quot;,&quot;autoplay_speed&quot;:&quot;4000&quot;,&quot;slides_to_show_mobile&quot;:&quot;2&quot;,&quot;image_spacing_custom&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;5&quot;,&quot;sizes&quot;:[]},&quot;autoplay&quot;:&quot;yes&quot;,&quot;infinite&quot;:&quot;yes&quot;,&quot;speed&quot;:500,&quot;image_spacing_custom_tablet&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]},&quot;image_spacing_custom_mobile&quot;:{&quot;unit&quot;:&quot;px&quot;,&quot;size&quot;:&quot;&quot;,&quot;sizes&quot;:[]}}\" data-widget_type=\"image-carousel.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-image-carousel-wrapper swiper\" role=\"region\" aria-roledescription=\"carousel\" aria-label=\"Image Carousel\" dir=\"ltr\">\n\t\t\t<div class=\"elementor-image-carousel swiper-wrapper\" aria-live=\"off\">\n\t\t\t\t\t\t\t\t<div class=\"swiper-slide\" role=\"group\" aria-roledescription=\"slide\" aria-label=\"1 of 2\"><a data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-slideshow=\"9507f15\" data-elementor-lightbox-title=\"AAA Title\" data-elementor-lightbox-description=\"AAA description\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6IjI1MzUiLCJ1cmwiOiJcL21hdGhzXC93cC1jb250ZW50XC91cGxvYWRzXC8yMDI0XC8wNFwvSml0ZW5kcmEtcGFwZXIyLTFfcGFnZS0wMDAxLmpwZyIsInNsaWRlc2hvdyI6Ijk1MDdmMTUifQ%3D%3D\" href=\"\/maths\/wp-content\/uploads\/2024\/04\/Jitendra-paper2-1_page-0001.jpg\"><figure class=\"swiper-slide-inner\"><img decoding=\"async\" class=\"swiper-slide-image\" src=\"\/maths\/wp-content\/uploads\/elementor\/thumbs\/Jitendra-paper2-1_page-0001-qm7ayh5sdso4pg3l37orgtjmomlirwven8xm9g0rnk.jpg\" 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533Z\"><\/path><\/svg>\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-6716fad e-con-full e-flex e-con e-parent\" data-id=\"6716fad\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-942c71d main-tabs e-n-tabs-mobile elementor-widget elementor-widget-n-tabs\" data-id=\"942c71d\" data-element_type=\"widget\" data-widget_type=\"nested-tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"e-n-tabs\" data-widget-number=\"155371293\" aria-label=\"Tabs. Open items with Enter or Space, close with Escape and navigate using the Arrow keys.\">\n\t\t\t<div class=\"e-n-tabs-heading\" role=\"tablist\">\n\t\t\t\t\t<button id=\"e-n-tab-title-1553712931\" class=\"e-n-tab-title\" aria-selected=\"true\" data-tab-index=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"e-n-tab-content-1553712931\" style=\"--n-tabs-title-order: 1;\">\n\t\t\t\t\t\t<span class=\"e-n-tab-title-text\">\n\t\t\t\tAbout\t\t\t<\/span>\n\t\t<\/button>\n\t\t\t\t<button id=\"e-n-tab-title-1553712932\" class=\"e-n-tab-title\" aria-selected=\"false\" data-tab-index=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-n-tab-content-1553712932\" style=\"--n-tabs-title-order: 2;\">\n\t\t\t\t\t\t<span class=\"e-n-tab-title-text\">\n\t\t\t\tEducation\t\t\t<\/span>\n\t\t<\/button>\n\t\t\t\t<button id=\"e-n-tab-title-1553712933\" class=\"e-n-tab-title\" aria-selected=\"false\" data-tab-index=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-n-tab-content-1553712933\" style=\"--n-tabs-title-order: 3;\">\n\t\t\t\t\t\t<span class=\"e-n-tab-title-text\">\n\t\t\t\tWork Experience\t\t\t<\/span>\n\t\t<\/button>\n\t\t\t\t<button id=\"e-n-tab-title-1553712934\" class=\"e-n-tab-title\" aria-selected=\"false\" data-tab-index=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-n-tab-content-1553712934\" style=\"--n-tabs-title-order: 4;\">\n\t\t\t\t\t\t<span class=\"e-n-tab-title-text\">\n\t\t\t\tPublications\t\t\t<\/span>\n\t\t<\/button>\n\t\t\t\t<button id=\"e-n-tab-title-1553712935\" class=\"e-n-tab-title\" aria-selected=\"false\" data-tab-index=\"5\" role=\"tab\" tabindex=\"-1\" aria-controls=\"e-n-tab-content-1553712935\" style=\"--n-tabs-title-order: 5;\">\n\t\t\t\t\t\t<span class=\"e-n-tab-title-text\">\n\t\t\t\tInvited Talks\t\t\t<\/span>\n\t\t<\/button>\n\t\t\t\t\t<\/div>\n\t\t\t<div class=\"e-n-tabs-content\">\n\t\t\t\t<div id=\"e-n-tab-content-1553712931\" role=\"tabpanel\" aria-labelledby=\"e-n-tab-title-1553712931\" data-tab-index=\"1\" style=\"--n-tabs-title-order: 1;\" class=\"e-active elementor-element elementor-element-7c001a3 e-con-full e-flex e-con e-child\" data-id=\"7c001a3\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7a0ac13 elementor-widget elementor-widget-text-editor\" data-id=\"7a0ac13\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\tDr. Arun Kumar received his PhD degree in Mathematics from IIT Bombay in 2012. He also holds a Master degree in Industrial Mathematics from IIT Roorkee. His PhD work is related to Subordinated Stochastic Processes that have applications in finance, fractional partial differential equations and statistical physics. During his stint in financial industry as a research analyst, he worked on all the major asset classes i.e. Fixed Income, Equity, Currency, and Commodity. Further, he possess a good experience in pricing and analysis of Bonds, Swaps, Total Return Swaps, Swap Curve Construction, Bonds Portfolio, Interest Rate Swaps Portfolio, Bond Futures, Cheapest to Deliver Calculations.\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div id=\"e-n-tab-content-1553712932\" role=\"tabpanel\" aria-labelledby=\"e-n-tab-title-1553712932\" data-tab-index=\"2\" style=\"--n-tabs-title-order: 2;\" class=\" elementor-element elementor-element-4116995 e-con-full e-flex e-con e-child\" data-id=\"4116995\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f764086 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"f764086\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-right\" viewBox=\"0 0 256 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Ph.D from Indian Institute of Technology Bombay, India, 2012.<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-right\" viewBox=\"0 0 256 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">M.Sc in Mathematics, Indian Institute of Technology Roorkee, India, 2005.<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div id=\"e-n-tab-content-1553712933\" role=\"tabpanel\" aria-labelledby=\"e-n-tab-title-1553712933\" data-tab-index=\"3\" style=\"--n-tabs-title-order: 3;\" class=\" elementor-element elementor-element-be9689c e-con-full e-flex e-con e-child\" data-id=\"be9689c\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-3b9b882 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"3b9b882\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-right\" viewBox=\"0 0 256 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Associate Professor, IIT Ropar \u2013 April 2022 \u2013 Till Present<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-right\" viewBox=\"0 0 256 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Assistant Professor, IIT Ropar \u2013 Dec 2016 \u2013 March 2022<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-right\" viewBox=\"0 0 256 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Visiting Scientist, Wroclaw University of Science and Technology, Poland \u2014 May 28 \u2013 July 2, 2017<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-right\" viewBox=\"0 0 256 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Assistant Professor, IIM Sirmaur \u2013 Jul 2016 \u2013 Dec 2016<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-right\" viewBox=\"0 0 256 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Visiting Scientist, ISI Chennai \u2013 Jan 2016 \u2013 June 2016<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-right\" viewBox=\"0 0 256 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Visiting Assistant Professor, IIT Madras, Chennai \u2013 Jan 2015 \u2013 Dec 2015<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-right\" viewBox=\"0 0 256 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34z\"><\/path><\/svg>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Research Analyst, ARP Research LLP, Mumbai \u2013 Dec 2011 \u2013 Nov 2014<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div id=\"e-n-tab-content-1553712934\" role=\"tabpanel\" aria-labelledby=\"e-n-tab-title-1553712934\" data-tab-index=\"4\" style=\"--n-tabs-title-order: 4;\" class=\" elementor-element elementor-element-13f8258 e-con-full e-flex e-con e-child\" data-id=\"13f8258\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-2c2b175 elementor-widget elementor-widget-n-accordion\" data-id=\"2c2b175\" data-element_type=\"widget\" data-settings=\"{&quot;default_state&quot;:&quot;expanded&quot;,&quot;max_items_expended&quot;:&quot;one&quot;,&quot;n_accordion_animation_duration&quot;:{&quot;unit&quot;:&quot;ms&quot;,&quot;size&quot;:400,&quot;sizes&quot;:[]}}\" data-widget_type=\"nested-accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"e-n-accordion\" aria-label=\"Accordion. Open links with Enter or Space, close with Escape, and navigate with Arrow Keys\">\n\t\t\t\t\t\t<details id=\"e-n-accordion-item-4630\" class=\"e-n-accordion-item\" open>\n\t\t\t\t<summary class=\"e-n-accordion-item-title\" data-accordion-index=\"1\" tabindex=\"0\" aria-expanded=\"true\" aria-controls=\"e-n-accordion-item-4630\" >\n\t\t\t\t\t<span class='e-n-accordion-item-title-header'><div class=\"e-n-accordion-item-title-text\"> Journal Publications <\/div><\/span>\n\t\t\t\t\t\t\t<span class='e-n-accordion-item-title-icon'>\n\t\t\t<span class='e-opened' ><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-down\" viewBox=\"0 0 320 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M143 256.3L7 120.3c-9.4-9.4-9.4-24.6 0-33.9l22.6-22.6c9.4-9.4 24.6-9.4 33.9 0l96.4 96.4 96.4-96.4c9.4-9.4 24.6-9.4 33.9 0L313 86.3c9.4 9.4 9.4 24.6 0 33.9l-136 136c-9.4 9.5-24.6 9.5-34 .1zm34 192l136-136c9.4-9.4 9.4-24.6 0-33.9l-22.6-22.6c-9.4-9.4-24.6-9.4-33.9 0L160 352.1l-96.4-96.4c-9.4-9.4-24.6-9.4-33.9 0L7 278.3c-9.4 9.4-9.4 24.6 0 33.9l136 136c9.4 9.5 24.6 9.5 34 .1z\"><\/path><\/svg><\/span>\n\t\t\t<span class='e-closed'><svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-angle-double-right\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M224.3 273l-136 136c-9.4 9.4-24.6 9.4-33.9 0l-22.6-22.6c-9.4-9.4-9.4-24.6 0-33.9l96.4-96.4-96.4-96.4c-9.4-9.4-9.4-24.6 0-33.9L54.3 103c9.4-9.4 24.6-9.4 33.9 0l136 136c9.5 9.4 9.5 24.6.1 34zm192-34l-136-136c-9.4-9.4-24.6-9.4-33.9 0l-22.6 22.6c-9.4 9.4-9.4 24.6 0 33.9l96.4 96.4-96.4 96.4c-9.4 9.4-9.4 24.6 0 33.9l22.6 22.6c9.4 9.4 24.6 9.4 33.9 0l136-136c9.4-9.2 9.4-24.4 0-33.8z\"><\/path><\/svg><\/span>\n\t\t<\/span>\n\n\t\t\t\t\t\t<\/summary>\n\t\t\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-4630\" class=\"elementor-element elementor-element-1db891b e-con-full e-flex e-con e-child\" data-id=\"1db891b\" data-element_type=\"container\">\n\t\t<div role=\"region\" aria-labelledby=\"e-n-accordion-item-4630\" class=\"elementor-element elementor-element-ecbdfc0 e-flex e-con-boxed e-con e-child\" data-id=\"ecbdfc0\" data-element_type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-fff4186 elementor-widget elementor-widget-heading\" data-id=\"fff4186\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">40. Pande, N. K., Kumar, A. and Gupta, A.K. (2026). Robust Mean Field Game of Autonomous Vehicles on Multilane Roadways via Attention-based Adversarial Networks. To Appear in Proceedings of the Royal Society A.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9b0d00f elementor-widget elementor-widget-heading\" data-id=\"9b0d00f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">39. Pande, N. K., Kumar, A. and Gupta, A.K. (2026). Physics integrated adaptive residual learning framework for traffic state estimation. Engineering Analysis with Boundary Elements. 188, 106751.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6642996 elementor-widget elementor-widget-heading\" data-id=\"6642996\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">38. Priti, and Kumar, A. (2026). Space\u2013time fractional diffusion with stochastic resetting. Statist. Probab. Lett. 227, 110528.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e8a0e73 elementor-widget elementor-widget-heading\" data-id=\"e8a0e73\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">37. Rani, M. Garg, B. and Kumar, A. (2025). Application of the variance gamma distribution for change point detection. To Appear in Communications in Statistics \u2013 Simulation and Computation.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e29f04c elementor-widget elementor-widget-heading\" data-id=\"e29f04c\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">36. Rani, M., Garg, B. and Kumar, A. (2025). Change point analysis in data with heavy tails: a Normal Inverse Gaussian approach. Economics Letters, 254, 112477.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2dc6fd8 elementor-widget elementor-widget-heading\" data-id=\"2dc6fd8\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">35. Pande, N.K., Pasricha, P., Kumar, A. and Gupta, A. K. (2025). European Option Pricing in Regime Switching Framework via Physics-Informed Residual Learning. Expert Systems with Applications, 128226.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6f3fa6b elementor-widget elementor-widget-heading\" data-id=\"6f3fa6b\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">34. Pande, N. K., Kumar, A. and Gupta, A.K. (2025). Forecasting Stock Indices: Stochastic and Artificial Neural Network Models. Computational Economics, 65, 1937 \u2013 1969.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-05809c7 elementor-widget elementor-widget-heading\" data-id=\"05809c7\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">33. Pande, N. K., Jain, A., Kumar, A. and Gupta, A. K. (2024). Conservative Deep Neural Networks for Modeling Competition of Ribosomes with Extended Length. Physica D: Nonlinear Phenomena, 470, 134415.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0c68f90 elementor-widget elementor-widget-heading\" data-id=\"0c68f90\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">32. Dhull. M.S., Kumar, A. and Wylomanska, A. (2024). The expectation-maximization algorithm for autoregressive models with normal inverse Gaussian innovations. Commun. Stat. B: Simul. Comput. 53 (11), 5421-5441.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b5ec0c6 elementor-widget elementor-widget-heading\" data-id=\"b5ec0c6\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">31. Dhull, M.S. amnd Kumar, A. (2024). Geometric infinitely divisible autoregressive models. Statistical Papers, 65, 4515-4536.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-06680a2 elementor-widget elementor-widget-heading\" data-id=\"06680a2\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">30. Gupta, N., Kumar, A., Leonenko, N. N. and Vaz, J. (2024). Generalized fractional derivatives generated by Dickman subordinator and related stochastic processes. Fractional Calculus and Applied Analysis, 27, 1527\u20131563.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ea2877 elementor-widget elementor-widget-heading\" data-id=\"8ea2877\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">29. Bhootna, N. and Kumar, A. (2024). Tempered stable autoregressive models. Communications in Statistics-Theory and Methods, 53(2), 765-785.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b8cb1f9 elementor-widget elementor-widget-heading\" data-id=\"b8cb1f9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">28. Bhootna, N. and Kumar, A. (2024). GARTFIMA process and its spectral density based estimation. Journal of Applied Statistics, 51 (10), 1919-1945.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-eb15637 elementor-widget elementor-widget-heading\" data-id=\"eb15637\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">27. Gupta, N. and Kumar, A. (2023). Fractional Poisson processes of order k and beyond. Journal of Theoretical Probability, 36(4), 2165-2191.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2e5e35f elementor-widget elementor-widget-heading\" data-id=\"2e5e35f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">26. Bhootna, N., Dhull, M.S., Kumar, A. and Leonenko, N. (2023). Singularities of spectral densities of Humbert generalized fractional differencing processes. Communications in Non-linear Science and Numerical Simulations, 125, 107412.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dd81293 elementor-widget elementor-widget-heading\" data-id=\"dd81293\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">25. Dhull, M. S. and Kumar, A. (2022). Expectation-Maximization Algorithm for Autoregressive Models with Cauchy Innovations . Engineering Proceedings, 18, 21.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-32ea68e elementor-widget elementor-widget-heading\" data-id=\"32ea68e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">24. Jain, A., Kumar, A. and Gupta, A. K. (2022). A theoretical framework to analyse the flow of particles in a dynamical system with stochastic transition rates and site capacities. Royal Society Open Science 9 (10), 220698.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bbb62f4 elementor-widget elementor-widget-heading\" data-id=\"bbb62f4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">23. Kumar, A. and Gupta, N. (2022). Inverse tempered stable subordinators and related processes with Mellin transform. Statist. Probab. Lett. 186, 109465.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0d4e32e elementor-widget elementor-widget-heading\" data-id=\"0d4e32e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">22. Gupta, N., Kumar, A. and Leonenko, N. (2022). A generalization of multifractional Brownian motion. Fractal and Fractional, 6, 74-85.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-105bb27 elementor-widget elementor-widget-heading\" data-id=\"105bb27\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">21. Grzesiek, A., Poloczanski, R., Kumar, A. and Wylomanska, A. (2021). Moment-based estiamtion of parameters of general inverse subordinator, Physica A, 126042.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-aa43f4f elementor-widget elementor-widget-heading\" data-id=\"aa43f4f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">20. Dhull. M.S. and Kumar, A. (2021). Normal inverse Gaussian autoregressive model using EM algorithm, IntJ. Adv. Eng. Sci. Appl. Math. 13, 139-147.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c870086 elementor-widget elementor-widget-heading\" data-id=\"c870086\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">19. Gupta, N., Kumar, A., and Leonenko, N. (2021). Stochastic Models With Mixtures of Tempered Stable Subordinators. Mathematical Communications, 26, 77-99.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-74c8312 elementor-widget elementor-widget-heading\" data-id=\"74c8312\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">18. Gupta, N., Kumar, A., and Leonenko, N. (2020). Skellam Type Processes of Order k, Entropy, 1193-1213.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-62cfba6 elementor-widget elementor-widget-heading\" data-id=\"62cfba6\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">17. Gupta, N., Kumar, A., and Leonenko, N. (2020). Tempered Fractional Poisson Processes and Fractional Equations With Z-Transform. Stochastic Analysis and Applicaitons. 38, 939-957.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5ade496 elementor-widget elementor-widget-heading\" data-id=\"5ade496\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">16. Kumar, A., Leonenko, N. and Pichler, A. (2020). Fractional Risk Process in Insurance. Mathematics and Financial Economics, 14, 43 - 65.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7d03fb7 elementor-widget elementor-widget-heading\" data-id=\"7d03fb7\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">15. Gajda, J., Wylomanska, A. and Kumar, A. (2019). Fractional Levy stable motion time-changed by gamma subordinator. Communications in Statistics \u2013 Theory and Methods. 48, 5953-5968.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5cd0bd8 elementor-widget elementor-widget-heading\" data-id=\"5cd0bd8\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">14. Gajda, J., Kumar, A. and Wylomanska, A. (2019). Stable Levy Process Delayed by Tempered Stable Subordinator. Statist. Probab. Lett. 145, 284\u2013292.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b719104 elementor-widget elementor-widget-heading\" data-id=\"b719104\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">13. Kumar, A., Maheshwari, A. and Wy\u0142oma\u0144ska, A. (2019). Linnik L\u00e9vy process and some extensions. Physica A, 529, 121539.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c311bec elementor-widget elementor-widget-heading\" data-id=\"c311bec\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">12. Kumar, A., Wylomanska, A., Gajda, J. and Poloczanski, R. (2019). Fractional Brownian motion delayed by tempered and inverse tempered stable subordinators. Methodol. Comput. Appl. Probab., 21, 185-202.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-18635dd elementor-widget elementor-widget-heading\" data-id=\"18635dd\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">11. Kumar, A., Upadhye, N., Wylomanska, A., Gajda, J. (2019). Tempered Mittag-Leffler Levy Processes. Communications in Statistics, 48(2), 396-411.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-512f09a elementor-widget elementor-widget-heading\" data-id=\"512f09a\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">10. Kumar, A. and Nane, E. (2018). On Infinite Divisibility of the Distribution of Some Inverse Subordinators. Modern Stochastics: Theory and Applications, 5(4), 509-519.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-776e547 elementor-widget elementor-widget-heading\" data-id=\"776e547\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">9. Vellaisamy, P. and Kumar, A. (2018). First-Exit Times of an Inverse Gaussian Process, Stochastics, 1, 29-48.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-938a63e elementor-widget elementor-widget-heading\" data-id=\"938a63e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">8. Kumar, A., Wylomanska, A. and Gajda, J. (2017). Stable Levy motion with inverse Gaussian subordinator. Physica A, 482, 486-500.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ec97ee9 elementor-widget elementor-widget-heading\" data-id=\"ec97ee9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">7. Gazda, J., Wylomanska, A. and Kumar, A. (2017). Generalized fractional Laplace motion. Statist. Probab. Lett., 124, 101-109.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0f26dd4 elementor-widget elementor-widget-heading\" data-id=\"0f26dd4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">6. Kumar, A., Wyomanska, A. and Poloczanski, R. and S. Sundar (2017). Fractional Brownian motion time-changed by gamma and inverse gamma process. Physica A, 468, 648667.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-11bbd1e elementor-widget elementor-widget-heading\" data-id=\"11bbd1e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">5. Wylomanska, A., Kumar, A., Poloczanski, R. and Vellaisamy, P. (2016). Inverse Gaussian and its inverse process as the subordinators of fractional Brownian motion. Physical Review E 94 (4), 042128.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c6f9fe9 elementor-widget elementor-widget-heading\" data-id=\"c6f9fe9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">4. Kumar, A. and Vellaisamy, P. (2014). Inverse Tempered Stable Subordinators. Statist. Probab. Lett. 103, 134-141.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f048bff elementor-widget elementor-widget-heading\" data-id=\"f048bff\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">3. Kumar, A. and Vellaisamy, P. (2012). Fractional normal inverse Gaussian process. Methodology and Computing in Applied Probability. 14, 263-283.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-178e79e elementor-widget elementor-widget-heading\" data-id=\"178e79e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">2. Kumar, A., Nane, E. and Vellaisamy, P. (2011). Time-Changed Poisson Processes. Statist. Probab. Lett. 81, 1899-1910.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0d4a385 elementor-widget elementor-widget-heading\" data-id=\"0d4a385\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">1. Kumar, A., Meerschaert, M. M. and Vellaisamy, P. (2011). Fractional normal inverse Gaussian diffusion. Statist. Probab. Lett. 81, 146-152.<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/details>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div id=\"e-n-tab-content-1553712935\" role=\"tabpanel\" aria-labelledby=\"e-n-tab-title-1553712935\" data-tab-index=\"5\" style=\"--n-tabs-title-order: 5;\" class=\" elementor-element elementor-element-3d9457a e-con-full e-flex e-con e-child\" data-id=\"3d9457a\" data-element_type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-26ee1e8 elementor-widget elementor-widget-text-editor\" data-id=\"26ee1e8\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<ol><li>\u201cIntroductory Statistics for Social Scientists\u201d at Panjab University on Mar 30, 2022.<\/li><li>Two Sessions on \u201cStochastic Calculus I and Stochastic Calculus II\u201d at Panjab University on January 05, 2022.<\/li><li>Two sessions on \u201cIntroduction to Data Science and Introductory Statistics\u201d at NIELIT on September 23-24, 2021.<\/li><li>Two sessions on \u201cMachine Learning and Optimization Techniques: Applications to Financial Markets\u201d at IIT Mandi, July 12-13 on 2021.<\/li><li>\u201cExpectation Maximisation Algorithm\u201d at IIT Ropar organised by Indo-Taiwan Joint Research Centre on AI and ML held on January 30, 2021.<\/li><li>Took couple of sessions in \u201cTwo Week Workshop on Scientific Computing Using Matlab and Python\u201d organised by Department of Mathematics J C Bose University during September 07-18, 2020.<\/li><li>\u201cStatistical Techniques in Research and Data Analysis\u201d at IIT Ropar as part of Research Methodology Series on May 23, 2020.<\/li><li>\u201cSubordinated Stochastic Processes and Anomalous Diffusion\u201d at IIT Ropar as part of APJ Lecture Series on March 4, 2020.<\/li><li>\u201cIntroduction to Python\u201d at Panjab University Chandigarh during Jan 8-9, 2020, where an FDP was organized on MATHEMATICAL COMPUTATIONAL SKILLS: A PRACTICAL APPROACH\u201d<\/li><li>A five days workshop on \u201cStatistical Techniques for AI and Data Science\u201d at IIT Ropar during Dec 9-13, 2019.<\/li><li>\u201cClustering Techniques in Statistical Learning\u201d at IIM Indore on September 24, 2019.<\/li><li>\u201cSubordinated Stochastic Processes and Continuous Time Random Walks\u201d at IIIT Delhi on March 14, 2019.<\/li><li>\u201cProbability &amp; Statistics With Applications\u201d at DAVIET Jalandhar on February 15, 2019.<\/li><li>\u201cIntroduction to Data Science\u201d at Indian Institute of Management Indore, on Jan 23, 2019.<\/li><li>\u201cOption Pricing Under Multi-Period Binomial Model\u201d at Indian Institute of Management Indore, on Jan 22, 2019.<\/li><li>\u201cIntroduction to Data Science Using Python\u201d at Lyallpur Khalsa College Jalandhar on December 23, 2018.<\/li><li>\u201cOption Pricing Under Multi-Period Binomial Model\u201d at Indian Institute of Management Indore, on Jan 25, 2018.<\/li><li>\u201cSubordinated Stochastic Processes\u201d at Wroclaw University of Science and Technology, Poland on Jun 7, 2017.<\/li><li>\u201cMathematical Finance: Theory and Practice\u201d at IIT Madras from Jan 16-21, 2017.<\/li><li>\u201cR Application to Quantitative Finance\u201d at BITS Goa from Aug 26-28, 2016.<\/li><li>\u201cApplications of Probability and Statistics for Engineers\u201d at Easwari Engineering College, Chennai on Apr 1, 2016.<\/li><li>\u201cApplications of Probability and Statistics for Engineers\u201d at VIT Chennai on Mar 16, 2016.<\/li><li>\u201cApplications of Probability and Statistics\u201d at VIT Chennai on Feb 1, 2016.<\/li><li>Short-term course for AICTE approved engineering colleges\u2019 teachers on \u201cClassical and Bayesian Statistics\u201d at IIT Madras during Sep 22 \u2013 Sep 26, 2015.<\/li><li>\u201cSubordinated Stochastic Processes\u201d at ISI Delhi on Jul 30, 2014.<\/li><li>\u201cBond, Valuation, Risk, Returns and Beyond\u201d at ICT Mumbai on Nov 3, 2012.<\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Dr. Arun Kumar Associate Professor Department of Mathematics Indian Institute of Technology Ropar Rupnagar, Punjab &#8211; 140001, India Office: C-M26, Mezzanine Floor, SAB building Phone: 0188123-2305 (O) Email : arun.kumar@iitrpr.ac.in About Education Work Experience Publications Invited Talks Dr. Arun Kumar received his PhD degree in Mathematics from IIT Bombay in 2012. He also holds a [&hellip;]<\/p>\n","protected":false},"author":14,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"elementor_header_footer","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-gradient":""}},"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2864","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"\/maths\/index.php?rest_route=\/wp\/v2\/posts\/2864","targetHints":{"allow":["GET"]}}],"collection":[{"href":"\/maths\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"\/maths\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"\/maths\/index.php?rest_route=\/wp\/v2\/users\/14"}],"replies":[{"embeddable":true,"href":"\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2864"}],"version-history":[{"count":67,"href":"\/maths\/index.php?rest_route=\/wp\/v2\/posts\/2864\/revisions"}],"predecessor-version":[{"id":17017,"href":"\/maths\/index.php?rest_route=\/wp\/v2\/posts\/2864\/revisions\/17017"}],"wp:attachment":[{"href":"\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2864"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2864"},{"taxonomy":"post_tag","embeddable":true,"href":"\/maths\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2864"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}