{"150041":{"#nid":"150041","#data":{"type":"event","title":"Statistics Seminar","body":[{"value":"\u003Cp\u003ETitle:\u0026nbsp; Monte Carlo Methods - Sampling Smartly to Get the Accuracy Needed\u003C\/p\u003E\u003Cp\u003ESpeaker: Fred J. Hickernell, Illinois Institute of Technology\u003C\/p\u003E\u003Cp\u003EAbstract:\u003C\/p\u003EMonte Carlo methods are used to compute the means of random variables whose distributions are so complex that direct computation by hand is infeasible. \u0026nbsp;Often the mean of the random variable can be interpreted as a multivariate integral, and so Monte Carlo methods are prime candidates for numerical integration. \u0026nbsp;This talk highlights three of my recent research interests in Monte Carlo methods. \u0026nbsp;One interest is in ensuring that the Monte Carlo method achieves the specified accuracy, i.e., constructing a guaranteed fixed width confidence interval for the mean. \u0026nbsp;A second interest is in low discrepancy or quasi-random sampling, a form of highly stratified sampling that can sometimes dramatically improve the convergence rate of the Monte Carlo method. \u0026nbsp;The third interest is in computing expectations that are effectively infinite-dimensional integrals, which must be approximated in a clever way by finite-dimensional integrals. \u0026nbsp;This talk will explain the ideas behind recent developments in these areas, highlight key theoretical results and open questions, and present some practical examples.\u0026nbsp;\u0026nbsp;","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":[{"value":"Statistics Seminar"}],"uid":"27187","created_gmt":"2012-08-29 11:54:13","changed_gmt":"2016-10-08 01:59:41","author":"Anita Race","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2012-10-11T12:00:00-04:00","event_time_end":"2012-10-11T13:00:00-04:00","event_time_end_last":"2012-10-11T13:00:00-04:00","gmt_time_start":"2012-10-11 16:00:00","gmt_time_end":"2012-10-11 17:00:00","gmt_time_end_last":"2012-10-11 17:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"1242","name":"School of Industrial and Systems Engineering (ISYE)"}],"categories":[],"keywords":[],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1795","name":"Seminar\/Lecture\/Colloquium"}],"invited_audience":[],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cp\u003ERoshan Vengazhiyil\u0026nbsp;\u0026nbsp; 4-0056\u003C\/p\u003E\u003Cp\u003E\u003Ca href=\u0022mailto:roshan@isye.gatech.edu\u0022\u003Eroshan@isye.gatech.edu\u003C\/a\u003E\u003C\/p\u003E","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}