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Characterization Of Exponential and Power Function Distributions Using s th Truncated Moments Of Order Statistics

• 2013
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Publication Information
Authors Ahmed Afify, Zohdy M. Nofal and Abdul–Hadi N. Ahmed
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publication.type International
Paper Link Open Link
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Abstract
Characterization results have great importance in statistics and probability applications. New characterizations of Exponential and Power Function distributions are presented using the s th conditional expectation of order statistics in
terms of their failure (hazard) rate. Our results generalize some of the known results of Ahsanullah (2009). A simulation study has been conducted to help an engineer or a practitioner to check whether the underlying distribution belongs to the
hypothesized family.
Keywords: Characterization; Failure Rate; Conditional Expectation; Order Statistics; Exponential; Power Function Distributions.