Abstract #300759

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JSM 2003 Abstract #300759
Activity Number: 444
Type: Contributed
Date/Time: Thursday, August 7, 2003 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Stat. Sciences
Abstract - #300759
Title: Dynamic Measure of Information About Parameter
Author(s): Ehsan S. Soofi*+ and Nader B. Ebrahimi
Companies: University of Wisconsin and Northern Illinois University
Address: PO Box 742, Milwaukee, WI, 53201-0742,
Keywords: dependency ; entropy ; Lindley's information ; mutual information ; residual lifetime
Abstract:

We introduce the notion of dynamic Bayesian measures of information provided by the data about parameters. The concept is developed through exploring the information structure of the multivariate residual life distribution. We consider the parameters of the lifetime distribution along with the lifetimes of components of a system as members of a group. We quantify information provided by the components' lifetimes about the parameters, allowing their distributions to change as the components age. The behavior of the dynamic information as a function of the ages is studied. The results are discussed in the context of some important classes of bivariate distributions.

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