{"id":14148,"date":"2024-04-11T15:46:38","date_gmt":"2024-04-11T20:46:38","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&#038;p=14148"},"modified":"2024-04-29T08:34:26","modified_gmt":"2024-04-29T13:34:26","slug":"phd-dissertation-defense-mr-russell-latterman","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/phd-dissertation-defense-mr-russell-latterman\/","title":{"rendered":"PhD Dissertation Defense: Mr. Russell Latterman"},"content":{"rendered":"<h1><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-14197 aligncenter\" src=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/04\/BANNER_LATTERMAN-1.jpg\" alt=\"\" width=\"984\" height=\"504\" srcset=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/04\/BANNER_LATTERMAN-1.jpg 984w, https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/04\/BANNER_LATTERMAN-1-300x154.jpg 300w, https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/04\/BANNER_LATTERMAN-1-768x393.jpg 768w\" sizes=\"auto, (max-width: 984px) 100vw, 984px\" \/>Bayesian Change Point Detection In Segmented Multi-Group Autoregressive Moving-Average Data For The Study Of COVID-19 In Wisconsin<\/h1>\n<p>Mr. Russell Latterman<br \/>\nUniversity of Wisconsin-Milwaukee<\/p>\n<p>Changepoint detection involves the discovery of abrupt fluctuations in population dynamics over time. We take a Bayesian approach to estimating points in time at which the parameters of an autoregressive moving average (ARMA) change, applying a Markov Chain Monte Carlo method. We specifically assume that data may originate from one of two groups. We provide estimates of all multi-group parameters of a model of this form for both simulated and real-world data sets. We include a provision to resolve the problem of confounding ARMA parameter estimates and variance of segment data. We apply our model to identify events that may have contributed to the 2020 and 2021 outbreaks of COVID-19 in Waukesha County, Wisconsin.<\/p>\n<p><strong>Advisor:<\/strong> Prof. David Spade<\/p>\n<p><strong>Committee Members:<br \/>\n<\/strong>Profs. Richard Stockbridge, Istvan Lauko, Chao Zhu, and Vytaras Brazauskas<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bayesian Change Point Detection In Segmented Multi-Group Autoregressive Moving-Average Data For The Study Of COVID-19 In Wisconsin Mr. Russell Latterman University of Wisconsin-Milwaukee Changepoint detection involves the discovery of abrupt fluctuations in population dynamics over time. We take a Bayesian &hellip;<\/p>\n","protected":false},"author":4217,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","uwm_wg_additional_authors":[]},"tags":[],"tribe_events_cat":[64],"class_list":["post-14148","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-graduate-student-defenses","cat_graduate-student-defenses"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.3) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Mathematical Sciences<\/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:\/\/uwm.edu\/math\/event\/phd-dissertation-defense-mr-russell-latterman\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"PhD Dissertation Defense: Mr. Russell Latterman\" \/>\n<meta property=\"og:description\" content=\"Bayesian Change Point Detection In Segmented Multi-Group Autoregressive Moving-Average Data For The Study Of COVID-19 In Wisconsin Mr. Russell Latterman University of Wisconsin-Milwaukee Changepoint detection involves the discovery of abrupt fluctuations in population dynamics over time. 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