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

Calcutta Statistical Association Bulletin

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First published online September, 2001

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

, , and

Volume 51, Issue 3-4

https://doi.org/10.1177/0008068320010309

Abstract

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.

Keywords

Truncated distribution Conditional distribution.

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