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CREATED:20240411T204638Z
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SUMMARY:PhD Dissertation Defense: Mr. Russell Latterman
DESCRIPTION:Bayesian Change Point Detection In Segmented Multi-Group Autoregressive Moving-Average Data For The Study Of COVID-19 In Wisconsin\nMr. Russell Latterman\nUniversity of Wisconsin-Milwaukee \nChangepoint 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. \nAdvisor: Prof. David Spade \nCommittee Members:\nProfs. Richard Stockbridge\, Istvan Lauko\, Chao Zhu\, and Vytaras Brazauskas
URL:https://uwm.edu/math/event/phd-dissertation-defense-mr-russell-latterman/
LOCATION:EMS Building\, Room E424A\, E424A; 3200 N Cramer St.\, Milwaukee\, WI\, 53211\, United States
CATEGORIES:Graduate Student Defenses
ORGANIZER;CN="The Department of Mathematical Sciences":MAILTO:math-staff@uwm.edu
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