Characterization of Exponential and Power Function Distributions Using sth Truncated Moments of Order Statistics

Ahmed Afify; A. N. Ahmed; Z. M. Nofal

doi:10.24297/jam.v4i3.3698

Characterization of Exponential and Power Function Distributions Using sth Truncated Moments of Order Statistics

Authors

Ahmed Afify Benha University, Egypt.
A. N. Ahmed Cairo University, Egypt.
Z. M. Nofal Benha University, Egypt.

DOI:

https://doi.org/10.24297/jam.v4i3.3698

Keywords:

Characterization, Failure Rate, Conditional Expectation, Order Statistics, Exponential, Power Function Distributions.

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.

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Author Biographies

Ahmed Afify, Benha University, Egypt.

Department of Statistics, Faculty of Commerce,

A. N. Ahmed, Cairo University, Egypt.

The Institute of Statistical Studies and Research

Z. M. Nofal, Benha University, Egypt.

Department of Statistics, Faculty of Commerce

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Published

2013-11-29

How to Cite

Afify, A., Ahmed, A. N., & Nofal, Z. M. (2013). Characterization of Exponential and Power Function Distributions Using sth Truncated Moments of Order Statistics. JOURNAL OF ADVANCES IN MATHEMATICS, 4(3), 486–495. https://doi.org/10.24297/jam.v4i3.3698