{"id":664,"date":"2022-02-01T14:16:21","date_gmt":"2022-02-01T14:16:21","guid":{"rendered":"https:\/\/pages.charlotte.edu\/colloquium\/?p=664"},"modified":"2022-02-01T14:16:21","modified_gmt":"2022-02-01T14:16:21","slug":"friday-february-4-2022-1100-1200-via-zoom","status":"publish","type":"post","link":"https:\/\/pages.charlotte.edu\/colloquium\/blog\/2022\/02\/01\/friday-february-4-2022-1100-1200-via-zoom\/","title":{"rendered":"Friday, February 4, 2022, 11:00-12:00 via Zoom"},"content":{"rendered":"\n<p><strong>Speaker:<\/strong>\u00a0Dr. <a href=\"https:\/\/sites.temple.edu\/ydong\/\">Yuexiao Dong<\/a> from Temple University<\/p>\n\n\n\n<p><strong>Date and Time:<\/strong>\u00a0Friday, February 4, 2022, 11:00-12:00 via Zoom. Please contact\u00a0<a href=\"https:\/\/math.charlotte.edu\/directory\/william-brian\">Will Brian<\/a>\u00a0to obtain the Zoom link.<\/p>\n\n\n\n<p><strong>Title:<\/strong>\u00a0Testing the linear mean and constant variance conditions in sufficient dimension reduction<\/p>\n\n\n\n<p><strong>Abstract:<\/strong>\u00a0 Sufficient dimension reduction (SDR) methods characterize the relationship between the response and the predictors through a few linear combinations of the predictors. Sliced inverse regression and\u00a0sliced average variance estimation\u00a0are among the most popular SDR methods\u00a0as\u00a0they do not involve multi-dimensional smoothing and are\u00a0easy to implement. However, these inverse regression-based methods require the linear conditional mean (LCM) and(or) the constant conditional variance (CCV) assumption. We propose novel tests to check the validity of the LCM and the CCV conditions through the martingale difference divergence. Extensive simulation studies and a real data application are performed to demonstrate the effectiveness of our proposed tests.<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\"><\/pre>\n\n\n\n<h2 class=\"wp-block-heading\"><\/h2>\n","protected":false},"excerpt":{"rendered":"<p>Speaker:\u00a0Dr. Yuexiao Dong from Temple University Date and Time:\u00a0Friday, February 4, 2022, 11:00-12:00 via Zoom. Please contact\u00a0Will Brian\u00a0to obtain the Zoom link. Title:\u00a0Testing the linear mean and constant variance conditions in sufficient dimension reduction Abstract:\u00a0 Sufficient dimension reduction (SDR) methods characterize the relationship between the response and the predictors through a few linear combinations of [&hellip;]<\/p>\n","protected":false},"author":2373,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-664","post","type-post","status-publish","format-standard","hentry","category-spring-2022"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3kCtT-aI","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/664","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/users\/2373"}],"replies":[{"embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/comments?post=664"}],"version-history":[{"count":1,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/664\/revisions"}],"predecessor-version":[{"id":665,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/posts\/664\/revisions\/665"}],"wp:attachment":[{"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/media?parent=664"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/categories?post=664"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pages.charlotte.edu\/colloquium\/wp-json\/wp\/v2\/tags?post=664"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}