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학술저널

ON CHARACTERIZATIONS OF THE PARETO DISTRIBUTION BY THE INDEPENDENT PROPERTY OF UPPER RECORD VALUES

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We present characterizations of the Pareto distribution by the independent property of upper record values in such a way that F(x) has a Pareto distribution if and only ifXU(n) XU(m) and XU(m) are independent for 1  m < n. Futhermore, the characteriza-tions should nd that F(x) has a Pareto distribution if and only if XU(n) XU(m) and XU(m) are independent for 1  m < n.

1. Introduction

2. Main results

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