JSM 2004 - Toronto

Abstract #300340

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Activity Number: 414
Type: Contributed
Date/Time: Thursday, August 12, 2004 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #300340
Title: Reducing Subjectivity in the Likelihood
Author(s): S. James Press*+
Companies: University of California, Riverside
Address: Department of Statistics, Riverside, CA, 92521,
Keywords: subjectivity ; likelihood
Abstract:

This paper is about reducing subjectivity in the likelihood function for observed data. We note that the likelihood function is generally taken to be a summary of the distribution of objectively observed data. We argue that the likelihood function itself is often subjectively based, which may not be desired. Building on this notion, we model the subjectivity in the likelihood function by generalizing its definition and showing how to reduce the contribution of its subjective component. We distinguish several different types of subjectivity in the likelihood function and show with examples how the subjective components may be reduced.


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