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Activity Number: 502
Type: Invited
Date/Time: Wednesday, August 5, 2009 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract - #303213
Title: Auxiliary Variables, Perfect Simulation, and Importance Sampling for the Statistical Analysis of Stochastic Processes
Author(s): Gareth Roberts*+
Companies: University of Warwick
Address: Department of Mathematics and Statistics, , International, , United Kingdom
Keywords:
Abstract:

This presentation will review recent work on different types of auxiliary variable constructions to facilitate simulation and Monte Carlo for stochastic models. The constructions are characterized by the lack of requirement for any approximation, despite being applied (most commonly) to infinite-dimensional random variables. The methodology will be applied to statistical problems in particle filtering, MCMC, and Monte Carlo likelihood maximization. I will focus largely on applying the methodology to diffusions and related stochastic processes. This is joint work with Alex Beskos, Paul Fearnhead, and Omiros Papaspiliopulos.


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