Abstract #300693


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JSM 2002 Abstract #300693
Activity Number: 33
Type: Topic Contributed
Date/Time: Sunday, August 11, 2002 : 4:00 PM to 5:50 PM
Sponsor: Section on Statistical Computing*
Abstract - #300693
Title: A Multivariate Logistic Distribution for Importance Sampling
Author(s): Buffy Hudson-Curtis*+ and John Monahan and Stefanski Len
Affiliation(s): GlaxoSmithKline, Inc. and North Carolina State University and North Carolina State University
Address: Five Moore Drive PO Box 13398, Research Triangle Park, North Carolina, 27709-3398, USA
Keywords: Multivariate Logistic Distribution ; Monte Carlo Importance Sampling
Abstract:

Monte Carlo Importance sampling has been effective for computing posterior integrals in Bayesian analysis. However, much of its success depends upon the suitability of the importance sampler. A successful importance sampler will mimic the behavior of the posterior distribution--not only in the center, but also in the tails. However, both the traditional light-tailed multivariate normal importance sampler, and its alternative, the heavy-tailed multivariate-t, may not perform well for a number of posterior distributions. An alternative to these importance samplers, a generalization of the multivariate logistic distribution, is described and its advantages as an importance sampler are discussed.


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