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Dr. Ahmed Z. Afify :: Publications:
Characterization Of Exponential and Power Function Distributions Using s th Truncated Moments Of Order Statistics
|Authors:||Ahmed Afify, Zohdy M. Nofal and Abdul–Hadi N. Ahmed|
|Full paper||Ahmed Zakria Mohamed Afify_MY 1st Paper.pdf|
|Supplementary materials||Not Available|
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.