Characterization of Exponential and Power Function Distributions Using sth Truncated Moments of Order Statistics
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2013, Vol 4, Issue 3
Abstract
Characterization results have great importance in statistics and probability applications. New characterizations of Exponential and Power Function distributions are presented using the sth 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.
Authors and Affiliations
Ahmed Afify, A. N. Ahmed, Z. M. Nofal
Keywords
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- EP ID EP651211
- DOI 10.24297/jam.v4i3.3698
- Views 208
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