{"id":2,"date":"2024-12-02T08:16:00","date_gmt":"2024-12-02T08:16:00","guid":{"rendered":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/?page_id=2"},"modified":"2025-12-10T13:55:41","modified_gmt":"2025-12-10T13:55:41","slug":"my-research","status":"publish","type":"page","link":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/my-research\/","title":{"rendered":"My Research"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"2\" class=\"elementor elementor-2\">\n\t\t\t\t<div class=\"elementor-element elementor-element-c378945 e-flex e-con-boxed e-con e-parent\" data-id=\"c378945\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-a00a3c7 elementor-widget elementor-widget-heading\" data-id=\"a00a3c7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Research<\/h3>\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<div class=\"elementor-element elementor-element-ee90be7 e-flex e-con-boxed e-con e-parent\" data-id=\"ee90be7\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-7a4b0ed elementor-widget elementor-widget-heading\" data-id=\"7a4b0ed\" data-element_type=\"widget\" data-e-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\">Dissertations<\/h4>\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<div class=\"elementor-element elementor-element-470d7d0 e-flex e-con-boxed e-con e-parent\" data-id=\"470d7d0\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-9ce310a elementor-widget elementor-widget-heading\" data-id=\"9ce310a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-heading-title elementor-size-default\">MSc.  in Probability and Statistics:   Partial Least Squares for non-stationary time series: A forecasting Approach <\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-44193c2 elementor-widget elementor-widget-text-editor\" data-id=\"44193c2\" data-element_type=\"widget\" data-e-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<div style=\"text-align: left\"><strong>Supervisors: <\/strong><em>Graciela Gonz\u00e1lez-Far\u00edas (CIMAT),\u00a0 Israel Mart\u00ednez-Hern\u00e1ndez (¶¶Òõ̽̽App)<\/em><\/div><div>\u00a0<\/div><div><strong>Description: <\/strong>This thesis presents a detailed study of the Partial Least Squares (PLS) method (Wold, 1966). An innovative generalisation of the PLS algorithm is proposed for the case in which both the response and explanatory variables are functional.<\/div>\t\t\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<div class=\"elementor-element elementor-element-eef476c e-flex e-con-boxed e-con e-parent\" data-id=\"eef476c\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-4b4219f elementor-widget elementor-widget-heading\" data-id=\"4b4219f\" data-element_type=\"widget\" data-e-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\">Publications<\/h4>\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<div class=\"elementor-element elementor-element-367ac86 e-flex e-con-boxed e-con e-parent\" data-id=\"367ac86\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-001798c elementor-widget elementor-widget-text-editor\" data-id=\"001798c\" data-element_type=\"widget\" data-e-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<ul><li>2025 Vasquez Martinez, R, Gonzalez Farias, G, Marquez Urbina, J U &amp; Corona, F. Over the Stability of a<br \/>Non-Stationary Multivariate Time Series. <a href=\"https:\/\/doi.org\/10.48550\/arXiv.2506.22407\" target=\"_blank\" rel=\"noopener\">doi:10.48550\/arXiv.2506.22407<\/a>.<\/li><li>2023 Gonzalez Farias, G, Vasquez Martinez, R, Marquez Urbina, J U&amp; Ramos Quiroga, R. A Gompertz<br \/>Mixture Approach for Modeling the Evolution of the COVID-19 Dynamics. Revista de Matem\u00e1tica: Teor\u00eda y Aplicaciones. <a href=\"https:\/\/archivo.revistas.ucr.ac.cr\/\/index.php\/matematica\/article\/view\/50927\" target=\"_blank\" rel=\"noopener\">doi:10.15517\/rmta.v30i1.50927<\/a>.<\/li><li>2022 Vasquez Martinez, R, Villarreal Haro, K, Sanchez Leon, C A, Ortiz Arana, E I, Cardenas Trevi\u00f1o, J<br \/>A&amp; Martin, Gonzalez, E M. Conditional Passing Times for Cramer-Lundberg Risk Model. Jovenes en la<br \/>Ciencia 16. <a href=\"https:\/\/www.jovenesenlaciencia.ugto.mx\/index.php\/jovenesenlaciencia\/article\/view\/3659\">Link<\/a><\/li><\/ul>\t\t\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<div class=\"elementor-element elementor-element-5421f74 e-flex e-con-boxed e-con e-parent\" data-id=\"5421f74\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-f63b61b elementor-widget elementor-widget-heading\" data-id=\"f63b61b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">TALKS<\/h3>\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<div class=\"elementor-element elementor-element-9add1e7 e-flex e-con-boxed e-con e-parent\" data-id=\"9add1e7\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-8a20eb2 elementor-widget elementor-widget-text-editor\" data-id=\"8a20eb2\" data-element_type=\"widget\" data-e-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<ul>\n<li><strong>&#8220;Gompertz Mixture with covariables for modeling COVID-19 pandemic&#8221;\u00a0<\/strong>at <a href=\"https:\/\/cimpa.ucr.ac.cr\/\">CIMPA<\/a>&#8216;s Seminar. <em>November 2023<\/em>.<\/li>\n<\/ul>\n<p>\u00a0<\/p>\t\t\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<div class=\"elementor-element elementor-element-b57eb7f e-grid e-con-boxed e-con e-parent\" data-id=\"b57eb7f\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-3f8abe6 elementor-widget elementor-widget-image\" data-id=\"3f8abe6\" data-element_type=\"widget\" data-e-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 fetchpriority=\"high\" decoding=\"async\" width=\"688\" height=\"688\" src=\"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-content\/uploads\/sites\/69\/2025\/01\/poster_crop.png\" class=\"attachment-large size-large wp-image-250\" alt=\"\" srcset=\"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-content\/uploads\/sites\/69\/2025\/01\/poster_crop.png 712w, https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-content\/uploads\/sites\/69\/2025\/01\/poster_crop-300x300.png 300w, https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-content\/uploads\/sites\/69\/2025\/01\/poster_crop-150x150.png 150w\" sizes=\"(max-width: 688px) 100vw, 688px\" \/>\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 class=\"elementor-element elementor-element-c8d7448 elementor-widget elementor-widget-image\" data-id=\"c8d7448\" data-element_type=\"widget\" data-e-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=\"688\" height=\"688\" src=\"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-content\/uploads\/sites\/69\/2025\/01\/high_per_4_crop.png\" class=\"attachment-large size-large wp-image-252\" alt=\"\" srcset=\"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-content\/uploads\/sites\/69\/2025\/01\/high_per_4_crop.png 712w, https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-content\/uploads\/sites\/69\/2025\/01\/high_per_4_crop-300x300.png 300w, https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-content\/uploads\/sites\/69\/2025\/01\/high_per_4_crop-150x150.png 150w\" sizes=\"(max-width: 688px) 100vw, 688px\" \/>\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 class=\"elementor-element elementor-element-47c2890 elementor-widget elementor-widget-image\" data-id=\"47c2890\" data-element_type=\"widget\" data-e-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=\"688\" height=\"688\" src=\"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-content\/uploads\/sites\/69\/2025\/01\/board.png\" class=\"attachment-large size-large wp-image-313\" alt=\"\" srcset=\"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-content\/uploads\/sites\/69\/2025\/01\/board.png 712w, https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-content\/uploads\/sites\/69\/2025\/01\/board-300x300.png 300w, https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-content\/uploads\/sites\/69\/2025\/01\/board-150x150.png 150w\" sizes=\"(max-width: 688px) 100vw, 688px\" \/>\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\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Research Dissertations MSc. in Probability and Statistics: Partial Least Squares for non-stationary time series: A forecasting Approach Supervisors: Graciela Gonz\u00e1lez-Far\u00edas&hellip;<\/p>\n","protected":false},"author":91,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-2","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-json\/wp\/v2\/pages\/2","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-json\/wp\/v2\/users\/91"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-json\/wp\/v2\/comments?post=2"}],"version-history":[{"count":70,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-json\/wp\/v2\/pages\/2\/revisions"}],"predecessor-version":[{"id":617,"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-json\/wp\/v2\/pages\/2\/revisions\/617"}],"wp:attachment":[{"href":"https:\/\/www.lancaster.ac.uk\/stor-i-student-sites\/roberto-vasquez-martinez\/wp-json\/wp\/v2\/media?parent=2"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}