Abstract #302328

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JSM 2003 Abstract #302328
Activity Number: 254
Type: Contributed
Date/Time: Tuesday, August 5, 2003 : 12:00 PM to 1:50 PM
Sponsor: Section on Bayesian Stat. Sciences
Abstract - #302328
Title: Bayesian Analysis of Two-Piece Normal Regression Models
Author(s): Teruo Nakatsuma*+
Companies: Keio University
Address: 2-15-45 Mita, Minato-ku, Tokyo, 108-8345, Japan
Keywords: two-piece normal distribution ; regression model ; Markov chain Monte Carlo ; Gibbs sampler ; Hit-and-Run algorithm
Abstract:

This paper develops a Markov chain Monte Carlo method for Bayesian inferences about a linear regression model with a two-piece normal distributed error term, or two-piece normal regression model for short. The two-piece normal distribution is a generalization of the normal distribution. Its advantage over the normal distribution is that it can be asymmetric and thick-tailed but more tractable than other asymmetric distributions. Our sampling algorithm for the two-piece normal regression model is based on the Gibbs sampler and the Hit-and-Run algorithm.


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