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Activity Number: 250
Type: Contributed
Date/Time: Tuesday, August 8, 2006 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics in Epidemiology
Abstract - #306156
Title: Inference for Partially Observed Systems with an Application to Cholera
Author(s): Edward L. Ionides and Carles Breto*+ and Aaron A. King
Companies: University of Michigan and University of Michigan and University of Michigan
Address: 439 West Hall, Ann Arbor, MI, 48109,
Keywords: nonlinear state space model ; maximum likelihood estimator ; cholera
Abstract:

Inference for nonlinear state space models can be a challenging step in developing models for stochastic dynamical systems. The system investigated as a case study is a population model for cholera in Bangladesh. This example motivates the introduction of a new method for likelihood based inference, which we call MAPLE (Maximum A Posteriori Limit Estimation). The MAPLE algorithm computes a maximum likelihood estimator as the limit of an average of Bayesian posterior mean estimators. The new methodology has computational advantages and a theoretical justification.


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