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Characterization of Uniform Distribution u (0,?) through Expectation

Author Affiliations

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

Res. J. Mathematical & Statistical Sci., Volume 2, Issue (2), Pages 16-19, February,12 (2014)


For characterization of uniform distribution one needs any arbitrary non constant function only in place of approaches such as independence of sample mean and variance, correlation of minimum and maximum in a random sample of size two, moment conditions, inequality of Chernoff, available in the literature. Path breaking different approach based on identity of distribution and equality of expectation of function of random variable was used in characterizing uniform distribution through expectation of non constant function of random variable with examples for illustrative purpose.


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