| publication name | 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 |
| year | 2013 |
| keywords | |
| journal | |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | Not Available |
| Local/International | International |
| Paper Link | http://cirworld.com/index.php/JAM/article/view/2599 |
| Full paper | download |
| Supplementary materials | Not Available |
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.