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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.


Characterization Failure Rate Conditional Expectation Mixture Pareto of the Â…rst kind Pareto of the second kind Distributions

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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.