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

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Published: Feb 15, 2011
DOI: https://doi.org/10.14403/jcms.2011.24.1.85
Keywords:
absolutely continuous, characterizations, independent and identically distributed, Pareto distribution, upper record values
Mathematics Subject Classification (2020):
Primary 60E05, 62G30, 62H05

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Min-Young Lee
Department of Mathematics, Dankook University
Eun-Hyuk Lim
Department of Mathematics, Dankook University

Abstract





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 if and XU (m) are independent for 1 (cid:20) m < n. Futhermore, the characterizations should find that F (x) has a Pareto distribution if and only if





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Article Details

Issue
Vol. 24 No. 1 (2011)
Section
Articles