JSM 2004 - Toronto

Abstract #301281

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Activity Number: 162
Type: Contributed
Date/Time: Monday, August 9, 2004 : 2:00 PM to 3:50 PM
Sponsor: Section on Survey Research Methods
Abstract - #301281
Title: The Posterior Likelihood
Author(s): Hee-Choon Shin*+
Companies: NORC, University of Chicago
Address: 55 East Monroe St., Suite 4800, Chicago, IL, 60603,
Keywords: likelihood ; Bayes theorem
Abstract:

The Bayes theorem can be stated that the posterior probability is proportional to the product of prior probability and the likelihood. The principle of maximum likelihood states that, when confronted with a choice of hypotheses, we choose that one which maximizes the likelihood. Now consider a likelihood function with known parameter(s). We call this prior likelihood. The posterior likelihood is the product of the prior likelihood and the likelihood. The desired parameter(s) will be obtained by maximizing the posterior likelihood.


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Revised March 2004