JSM 2005 - Toronto

Abstract #303829

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 451
Type: Contributed
Date/Time: Wednesday, August 10, 2005 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract - #303829
Title: Full Likelihood Inference for Exchangeable Poisson Data
Author(s): Sankar Bokka*+ and Hanxiang Peng and LaTonya Garner
Companies: The University of Mississippi and The University of Mississippi and The University of Mississippi
Address: P O Box 9282, University, MS, 38677, United States
Keywords: Exchangeability ; Poisson data ; Likelihood Inference ; Mixed model ; Poisson-gamma
Abstract:

This talk focuses on statistical modeling of a sequence of exchangeable Poisson data. These data are common in biostatistics, genetics, and other fields. Our approach is based on the well-known representation theorems for exchangeable random variables. Unlike mixture models, where a mixing distribution is arbitrarily chosen, our modeling is built on the essential structure of the exchangeable random variables and thus makes the full use of the information contained in the exchangeability. The approach applies to other exchangeable random variables, including exchangeable negative binomial distributions, exchangeable binomial distributions, and exchangeable multinomial distributions. Applications to real dataset and simulations study also are conducted.


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