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Activity Number: 402
Type: Contributed
Date/Time: Wednesday, August 6, 2008 : 10:30 AM to 12:20 PM
Sponsor: General Methodology
Abstract - #301588
Title: Exact Bounded Risk Estimation When the Terminal Size and Estimator Are Dependent: The Gamma Case
Author(s): Kevin P. Tolliver*+ and David M. Carpenter
Companies: Auburn University and Auburn University
Address: Department of Mathematics and Statistics, Auburn, AL, 36830,
Keywords: sequential ; bounded risk estimation ; optimal sample size ; gamma distribution
Abstract:

It has been previously shown a purely sequential method for approximating the optimal sample size is better than other sequential methods sequential, for example, the exponential case. In this paper, we develop a purely sequential risk estimation procedure for estimating the mean of a gamma process. Because, in this case, the sequential procedure uses the combined sample from all stages, the estimator and the sequential sample size are dependent. We show that our method guarantees that we have an exact bounded risk estimate. These methods are demonstrated through extensive simulation studies and application to real data sets.


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