JSM 2004 - Toronto

Abstract #301518

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Activity Number: 106
Type: Topic Contributed
Date/Time: Monday, August 9, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #301518
Title: Benchmark Estimation--Theoretical Results and Epplications
Author(s): Subharup Guha*+ and Steven MacEachern and Mario Peruggia
Companies: Ohio State University and Ohio State University and Ohio State University
Address: 1958 Neil Ave., Columbus, OH, 43210,
Keywords: benchmark estimation ; post-stratification ; variance reduction
Abstract:

We illustrate the technique of benchmark estimation using an example from the literature. For a subsampling rate of 1-in-50, the observed reductions in MSE often exceed 30% for a number of posterior features. Much larger gains are expected for certain complex estimation methods and for the commonly used thinner subsampling rates. Benchmark estimation can be used wherever other fast or efficient estimation strategies already exist. We discuss some asymptotic properties of benchmark estimators that provide an insight into the gains associated with the technique. The observed gains are found to closely match the theoretical values predicted by the asymptotic, even for k as small as 10.


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