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Abstract
Characterization results have great importance in statistics and probability applications. Some characterizations of Pareto of the Â…rst kind and Pareto of the second kind distributions are presented by using conditional expectation in terms of their failure (hazard) rate. We also provide two characterization theorems based on the rth truncated moments.
Keywords
Characterization
Failure Rate
Conditional Expectation
Mixture
Pareto of the Â…rst kind
Pareto of the second kind Distributions
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Copyright © 2017 Pakistan Journal of Statistics and Operation Research
Creative Commons Attribution 4.0 International (CC BY 4.0)
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How to Cite
Nofal, Z. M., & El Gebaly, Y. M. (2017). New Characterizations of the Pareto Distribution. Pakistan Journal of Statistics and Operation Research, 13(1), 63-74. https://doi.org/10.18187/pjsor.v13i1.1742