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Activity Number: 509
Type: Contributed
Date/Time: Thursday, August 2, 2007 : 8:30 AM to 10:20 AM
Sponsor: Section on Bayesian Statistical Science
Abstract - #308387
Title: Bayes Sequential Estimation for a Subclass of Exponential Family of Distributions Under LINEX Loss
Author(s): Alicja Jokiel-Rokita*+
Companies: Wroclaw University of Technology
Address: Wybrzeze Wyspianskiego 27, Wroclaw, 50-370, Poland
Keywords: sequential procedure ; Bayesian estimation ; exponential family ; APO rule ; AO rule ; LINEX loss function
Abstract:

A subclass of an exponential family of distributions is considered. The problem is to estimate an unknown distribution parameter of this family. As an estimation error a LINEX loss function is used and a constant cost for each observation is assumed. The Bayesian approach to the problem is applied assuming conjugate prior distributions of the unknown parameter. A class of asymptotically pointwise optimal (APO) and asymptotically optimal (AO) procedures is derived.


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