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Bayesian Estimation, Prediction and Characterization for the Gumbel Model Based on Records 

Authors: M.A.M. Ali Mousa a;  Z. F. Jaheen a; A. A. Ahmad a
Affiliation:   a University of Assiut, Egypt.
DOI: 10.1080/02331880210929
Publication Frequency: 6 issues per year
Published in: journal Statistics, Volume 36, Issue 1 2002 , pages 65 - 74
Formats available: PDF (English)
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Abstract

Bayesian estimation for the two parameters of the Gumbel distribution are obtained based on record values. Prediction, either point or interval, for future lower record values are also presented from a Bayesian view point. Some of the results of Ahsanullah (1991) can be obtained as limiting cases from our results. Based on a recurrence relation of conditional moments of nonadjacent record values, a characterization for the Gumbel distribution is also given. Numerical computations are given to illustrate these procedures.
Keywords: Bayesian Inference; Prediction; Characterization; Record Values; Gumbel Model
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