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Characterization of Uniform Distribution through Expectation of Function of Order Statistics

Author Affiliations

  • 1Department of Statistics, Sardar Patel University, Vallabhvidyanagar-388129, Dist. Anand, Gujarat, INDIA

Res. J. Mathematical & Statistical Sci., Volume 2, Issue (8), Pages 10-14, August,12 (2014)

Abstract

For characterization of uniform distribution one needs any arbitrary non constant function only in place of approaches such as identical distributions, absolute continuity, constancy of regression of order statistics, continuity and linear regression of order statistics, non-degeneracy etc. available in the literature. Recently Bhatt characterized negative exponential distribution through expectation of non constant function of random variable. Attempt is made to extend the characterization of negative exponential distribution through expectation of any arbitrary non constant function of order statistics.

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