2017•Pakistan Journal of Statistics and Operation ResearchOpen access

New Characterizations of the Pareto Distribution

Zohdy M. Nofal, Yehia M. El Gebaly

Abstract

Characterization results have great importance in statistics and probability applications. Some characterizations of Pareto of the …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.

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Key concepts: Lomax distribution, Mathematics, Pareto principle, Pareto interpolation, Characterization (materials science), Generalized Pareto distribution, Pareto distribution, Conditional probability distribution