{"id":14186,"date":"2024-04-25T14:19:13","date_gmt":"2024-04-25T19:19:13","guid":{"rendered":"https:\/\/uwm.edu\/math\/?post_type=tribe_events&#038;p=14186"},"modified":"2024-04-25T14:21:08","modified_gmt":"2024-04-25T19:21:08","slug":"ms-thesis-defense-mr-lucas-fellmeth","status":"publish","type":"tribe_events","link":"https:\/\/uwm.edu\/math\/event\/ms-thesis-defense-mr-lucas-fellmeth\/","title":{"rendered":"MS Thesis Defense: Mr. Lucas Fellmeth"},"content":{"rendered":"<h1><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-14187 aligncenter\" src=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/04\/BANNER_lucas.jpg\" alt=\"\" width=\"984\" height=\"504\" srcset=\"https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/04\/BANNER_lucas.jpg 984w, https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/04\/BANNER_lucas-300x154.jpg 300w, https:\/\/uwm.edu\/math\/wp-content\/uploads\/sites\/112\/2024\/04\/BANNER_lucas-768x393.jpg 768w\" sizes=\"auto, (max-width: 984px) 100vw, 984px\" \/>Utilizing ARMA Models for Non-Independent Replications of Point Processes<\/h1>\n<p>Mr. Lucas Fellmeth<br \/>\nUniversity of Wisconsin-Milwaukee<\/p>\n<p>The use of a functional principal component analysis (FPCA) approach for estimating intensity functions from prior work allows us to obtain component scores of replicated point processes under the assumption of independent replications. We show these component scores can be modeled using classical autoregressive moving average (ARMA) models, thus allowing us to also apply the FPCA model to non-independent replications. The Divvy bike-sharing system in the city of Chicago is showcased as an application.<\/p>\n<p><strong>Advisor:<\/strong> Prof. Daniel Gervini<\/p>\n<p><strong>Committee Members:<br \/>\n<\/strong>Profs. Daniel Gervini, David Spade, and Chudamani Poudyal<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Utilizing ARMA Models for Non-Independent Replications of Point Processes Mr. Lucas Fellmeth University of Wisconsin-Milwaukee The use of a functional principal component analysis (FPCA) approach for estimating intensity functions from prior work allows us to obtain component scores of replicated &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-14186","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) - 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