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Activity Number:
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509
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Type:
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Contributed
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Date/Time:
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Thursday, August 2, 2007 : 8:30 AM to 10:20 AM
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Sponsor:
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Section on Bayesian Statistical Science
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| Abstract - #308379 |
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Title:
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Estimation Procedures in the Case of Randomly Forthcoming Data
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Author(s):
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Ryszard Magiera*+ and Alicja Jokiel-Rokita
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Companies:
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Wroclaw University of Technology and Wroclaw University of Technology
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Address:
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Wybrzeze Wyspianskiego 27, Wroclaw, 50-370, Poland
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Keywords:
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sequential procedure ; Bayesian estimation ; stopping time ; exponential family
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Abstract:
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The following statistical model is considered. The collection of data from several independent populations is available only at random times determined by order statistics of lifetimes of a given number of objects. Each of the populations is distributed according to a general multiparameter exponential family. The problem is to estimate the mean value vector parameter of the multiparameter exponential family of distributions of the forthcoming observations. Under the loss function involving a weighted squared error loss, the cost proportional to the events appeared and a cost of observing the process, a class of optimal sequential procedures is established. The procedures are derived in two situations: when the distribution of the lifetimes is completely known and in the case when it is unknown but assumed to belong to an exponential subfamily with an unknown parameter.
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