{"id":1808,"date":"2020-01-27T16:20:46","date_gmt":"2020-01-28T00:20:46","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&#038;p=1808"},"modified":"2020-01-31T14:11:51","modified_gmt":"2020-01-31T22:11:51","slug":"applied-math-talk-given-by-prof-mark-huber","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/applied-math-talk-given-by-prof-mark-huber\/","title":{"rendered":"Applied Math Talk: Robust Estimators for Monte Carlo data given by Prof.  Mark Huber (CMC)"},"content":{"rendered":"<p>Data coming from Monte Carlo experiments is often analyzed in the same way as data from more traditional sources.\u00a0 The unique nature of Monte Carlo data, where it is easy to take a random number of samples, allows for estimators where the user can control the relative error of the estimate much more precisely than with classical approaches.\u00a0 In this talk I will discuss three such estimators useful in different problems.\u00a0 The first is a user-specified-relative-error (USRE) estimate for the mean of a Bernoulli random variable.\u00a0 This allows us to obtain exact error results while using slightly fewer samples than the CLT approximation.\u00a0 The second is more general, applying to any random variable where a bound on the relative error is known.\u00a0 For this problem we give exact error bounds using a number of samples that is the same (to first order) as the CLT approximation requires.\u00a0 In other words, the new algorithm is the equivalent of always actually having normal data.\u00a0 Finally, we look at the problem of data with unknown variance and develop an algorithm that runs very close to the minimum number of samples established by results of Wald.\u00a0\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Data coming from Monte Carlo experiments is often analyzed in the same way as data from more traditional sources.\u00a0 The unique nature of Monte Carlo data, where it is easy [&hellip;]<\/p>\n","protected":false},"author":58,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":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":"","_tec_slr_enabled":"","_tec_slr_layout":""},"tags":[],"tribe_events_cat":[15],"class_list":["post-1808","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-applied-math-seminar","cat_applied-math-seminar"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - 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