Characterization of Probability Distributions Through Conditional Expectation of Function of Two Order Statistics

A general class of distribution F(x) = ah(x) + b has been characterized by considering conditional moments of a function of two order statistics, conditioned on the pair of order statistics. Further, its important consequences are also discussed.

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Bibliographic Details
Published in:Bulletin - Calcutta Statistical Association 2001-09, Vol.51 (3-4), p.259-266
Main Authors: Khan, A.H., Athar, Haseeb, Yaqub, M.
Format: Article
Language:English
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Description
Summary:A general class of distribution F(x) = ah(x) + b has been characterized by considering conditional moments of a function of two order statistics, conditioned on the pair of order statistics. Further, its important consequences are also discussed.
ISSN:0008-0683
2456-6462
DOI:10.1177/0008068320010309