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학술저널

CHARACTERIZATIONS OF THE PARETO DISTRIBUTION BY THE INDEPENDENCE OF RECORD VALUES

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In this paper, we establish characterizations of the Pareto distribution by the independence of record values. We prove that X 2 PAR(1; ¯) for ¯ > 0; if and only if XU(n)XU(n) ¡ XU(n+1) and XU(n) are inde-pendent for n ¸ 1: And we show that X 2 PAR(1; ¯) for ¯ > 0; if and only if XU(n) ¡ XU(n+1)XU(n) and XU(n) are independent for n ¸ 1:

1. Introduction

2. Main results

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