JSM 2004 - Toronto

Abstract #301936

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Activity Number: 231
Type: Contributed
Date/Time: Tuesday, August 10, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistics and the Environment
Abstract - #301936
Title: Use of Power Prior Distributions to Environmental Data Analysis
Author(s): Keying Ye*+ and Yuyan Duan and Eric P. Smith
Companies: Virginia Polytechnic Institute and State University and Virginia Polytechnic Institute and State University and Virginia Polytechnic Institute and State University
Address: Dept. of Statistics, Blacksburg, VA, 24061,
Keywords: power prior distribution ; Bayesian method ; environmental statistics ; water monitoring
Abstract:

The elicitation of power prior distributions is based on the availability of historical and other information, and is realized by incorporating a certain power of the likelihood function of the historical data. A modified approach is proposed to construct power prior distributions, and the general conditions for propriety of posterior distributions are examined. We demonstrate the development of the power priors for Bernoulli and normal models, and furthermore discuss the properties of resulted posterior distributions for the parameters of interest as well as for the power parameter. An example of water quality assessment data is presented to illustrate the implementation of power priors under this approach.

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