School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

2013

Abstract

Distributional relations of the form Y d= X +T where X, Y, and T are record values or order statistics and the random translator T is independent from X are considered. Characterizations of the exponential distribution when the ordered random variables are non-neighboring are proved. Corollaries for Pareto and power function distributions are also derived.

Comments

Original published version available at https://doi.org/10.12785/jsap/020304

Publication Title

Journal of Statistics Applications & Probability

DOI

10.12785/jsap/revised*JSAP022513S

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