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Dr. Ahmed Z. Afify :: Publications:

Characterization of Probability Distributions
Authors: Ahmed Afify
Year: 2013
Keywords: Not Available
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Pages: Not Available
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Local/International: International
Paper Link:
Full paper Ahmed Zakarya Mohammed Afify_My Ms. Thesis.pdf
Supplementary materials Not Available

Characterization results have great importance in statistics and probability applications. The concept of failure rate, mean residual life, reversed failure rate and mean inactivity time, also known as reversed mean residual life, are extensively used in modeling and analysis in reliability studies and applicable in other disciplines such as economics, biostatistics, actuarial sciences, engineering, biology, biometry and applied probability areas. This book provides two new characterizations of gamma distribution by establishing a connection between s-right truncated moments (s-left truncated moments) and reversed hazard rate (hazard rate). Also it provides new characterizations of Exponential, Power Function, Pareto of the first kind and Pareto of the second kind distributions are presented by using s- conditional expectation of order statistics in terms of their failure (hazard) rate. These characterization results are easier to check in data analysis. Besides, our results generalize some of the known results. Key Words: Characterization, S-Right Truncated Moments, S-Left Truncated Moments, S-Truncated Moments of order Statistics, Hazard Rate, Reversed Hazard Rate, Gamma, Exponential, Pareto Type I, Pareto Type II, Power Function Distribution

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