{"id":3646,"date":"2023-11-06T18:41:38","date_gmt":"2023-11-06T18:41:38","guid":{"rendered":"https:\/\/research.reading.ac.uk\/economics\/?post_type=tribe_events&#038;p=3646"},"modified":"2023-11-14T12:53:42","modified_gmt":"2023-11-14T12:53:42","slug":"external-seminar-by-william-pouliot-university-of-birmingham","status":"publish","type":"tribe_events","link":"https:\/\/research.reading.ac.uk\/economics\/event\/external-seminar-by-william-pouliot-university-of-birmingham\/","title":{"rendered":"External Seminar by William Pouliot (University of Birmingham)"},"content":{"rendered":"<div class=\"x_x_x_x_x_elementToProof x_x_x_x_elementToProof x_x_x_elementToProof x_x_elementToProof elementToProof\"><span class=\"x_x_x_x_x_ContentPasted0 x_x_x_ContentPasted0 x_x_ContentPasted0\"><b>Title<\/b>: On kernel regression with NMAR response values<\/span><\/div>\n<div class=\"x_x_x_x_x_elementToProof x_x_x_x_elementToProof x_x_x_elementToProof x_x_elementToProof elementToProof\"><span class=\"x_x_x_x_x_ContentPasted0 x_x_x_ContentPasted0 x_x_ContentPasted0\">\u00a0<\/span><\/div>\n<div class=\"x_x_x_x_x_elementToProof x_x_x_x_elementToProof x_x_x_elementToProof x_x_elementToProof elementToProof\">\n<p><span class=\"x_x_x_x_x_ContentPasted0 x_x_x_ContentPasted0 x_x_ContentPasted0\"><b>Abstract<\/b>:\u00a0We consider the problem of kernel regression estimation in the presence of Not-Missing-At-Random (NMAR), or nonignorable, response variables. Our \u00a0proposed approach involves two steps: In the first step, we construct a family of models (possibly infinite dimensional) indexed by the unknown nonignorability component of the missing probability mechanism.\u00a0 In the second step, a search is carried out to find the empirically optimal member of an appropriate cover (or subclass) of \u00a0the underlying family in the sense of minimizing the mean squared prediction error. Our methods use a data-splitting \u00a0approach which is quite easy to implement. \u00a0We also derive exponential bounds on the performance of the resulting estimators in terms of their deviations from the true regression curve in general L_p norms, where we also allow the size of the cover or subclass to diverge as the sample size n increases. These bounds together with the Borel-Cantelli lemma immediately yield various strong convergence results for the proposed estimators. As an application of our findings, we consider the problem of nonparametric statistical classification based on the proposed regression estimators and also look into their rates of convergence in different settings.<\/span><\/p>\n<div><\/div>\n<div><i>co-authors: M. Mojirsheibani and A. Shakhbandaryan<\/i><\/div>\n<\/div>\n<div class=\"x_x_x_x_x_elementToProof x_x_x_x_elementToProof x_x_x_elementToProof x_x_elementToProof\"><span class=\"x_x_x_x_x_ContentPasted0 x_x_x_ContentPasted0\">\u00a0<\/span><\/div>\n<div class=\"x_x_x_x_x_elementToProof x_x_x_x_elementToProof x_x_x_elementToProof x_x_elementToProof elementToProof\"><span class=\"x_x_x_x_x_ContentPasted0 x_x_x_ContentPasted0 x_x_ContentPasted1\">You can check out William&#8217;s latest research here:\u00a0<a id=\"OWAff1a56fb-5b76-dd38-49b5-28853879de96\" class=\"OWAAutoLink\" title=\"https:\/\/www.birmingham.ac.uk\/staff\/profiles\/business\/pouliot-william.aspx\" href=\"https:\/\/www.birmingham.ac.uk\/staff\/profiles\/business\/pouliot-william.aspx\" target=\"_blank\" rel=\"noopener noreferrer\" data-auth=\"NotApplicable\">https:\/\/www.birmingham.ac.uk\/staff\/profiles\/business\/pouliot-william.aspx<\/a><\/span><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Title: On kernel regression with NMAR response values \u00a0 Abstract:\u00a0We consider the problem of kernel regression estimation in the presence of Not-Missing-At-Random (NMAR), or nonignorable, response variables. Our \u00a0proposed approach&#8230;<a class=\"read-more\" href=\"&#104;&#116;&#116;&#112;&#115;&#58;&#47;&#47;&#114;&#101;&#115;&#101;&#97;&#114;&#99;&#104;&#46;&#114;&#101;&#97;&#100;&#105;&#110;&#103;&#46;&#97;&#99;&#46;&#117;&#107;&#47;&#101;&#99;&#111;&#110;&#111;&#109;&#105;&#99;&#115;&#47;&#101;&#118;&#101;&#110;&#116;&#47;&#101;&#120;&#116;&#101;&#114;&#110;&#97;&#108;&#45;&#115;&#101;&#109;&#105;&#110;&#97;&#114;&#45;&#98;&#121;&#45;&#119;&#105;&#108;&#108;&#105;&#97;&#109;&#45;&#112;&#111;&#117;&#108;&#105;&#111;&#116;&#45;&#117;&#110;&#105;&#118;&#101;&#114;&#115;&#105;&#116;&#121;&#45;&#111;&#102;&#45;&#98;&#105;&#114;&#109;&#105;&#110;&#103;&#104;&#97;&#109;&#47;\">Read More ><\/a><\/p>\n","protected":false},"author":207,"featured_media":0,"template":"","meta":{"_acf_changed":false,"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"__cvm_playback_settings":[],"__cvm_video_id":"","_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[93],"tribe_events_cat":[6],"coauthors":[26],"class_list":["post-3646","tribe_events","type-tribe_events","status-publish","hentry","tag-econometrics","tribe_events_cat-external-seminars","cat_external-seminars"],"acf":[],"aioseo_notices":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.8.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>External Seminar by William Pouliot (University of Birmingham) - Economics Research<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/research.reading.ac.uk\/economics\/event\/external-seminar-by-william-pouliot-university-of-birmingham\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"External Seminar by William Pouliot (University of Birmingham) - Economics Research\" \/>\n<meta property=\"og:description\" content=\"Title: On kernel regression with NMAR response values \u00a0 Abstract:\u00a0We consider the problem of kernel regression estimation in the presence of Not-Missing-At-Random (NMAR), or nonignorable, response variables. Our \u00a0proposed approach...Read More &gt;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/research.reading.ac.uk\/economics\/event\/external-seminar-by-william-pouliot-university-of-birmingham\/\" \/>\n<meta property=\"og:site_name\" content=\"Economics Research\" \/>\n<meta property=\"article:modified_time\" content=\"2023-11-14T12:53:42+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n\t<meta name=\"twitter:label2\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data2\" content=\"Alexander Mihailov\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/research.reading.ac.uk\/economics\/event\/external-seminar-by-william-pouliot-university-of-birmingham\/\",\"url\":\"https:\/\/research.reading.ac.uk\/economics\/event\/external-seminar-by-william-pouliot-university-of-birmingham\/\",\"name\":\"External Seminar by William Pouliot (University of Birmingham) - Economics Research\",\"isPartOf\":{\"@id\":\"https:\/\/research.reading.ac.uk\/economics\/#website\"},\"datePublished\":\"2023-11-06T18:41:38+00:00\",\"dateModified\":\"2023-11-14T12:53:42+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/research.reading.ac.uk\/economics\/event\/external-seminar-by-william-pouliot-university-of-birmingham\/#breadcrumb\"},\"inLanguage\":\"en-GB\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/research.reading.ac.uk\/economics\/event\/external-seminar-by-william-pouliot-university-of-birmingham\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/research.reading.ac.uk\/economics\/event\/external-seminar-by-william-pouliot-university-of-birmingham\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/research.reading.ac.uk\/economics\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Events\",\"item\":\"https:\/\/research.reading.ac.uk\/economics\/events\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"External Seminar by William Pouliot (University of Birmingham)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/research.reading.ac.uk\/economics\/#website\",\"url\":\"https:\/\/research.reading.ac.uk\/economics\/\",\"name\":\"Economics Research\",\"description\":\"A hub of news, events, publications &amp; research clusters \",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/research.reading.ac.uk\/economics\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-GB\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"External Seminar by William Pouliot (University of Birmingham) - Economics Research","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/research.reading.ac.uk\/economics\/event\/external-seminar-by-william-pouliot-university-of-birmingham\/","og_locale":"en_GB","og_type":"article","og_title":"External Seminar by William Pouliot (University of Birmingham) - Economics Research","og_description":"Title: On kernel regression with NMAR response values \u00a0 Abstract:\u00a0We consider the problem of kernel regression estimation in the presence of Not-Missing-At-Random (NMAR), or nonignorable, response variables. 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