Order Statistics of Dependent Sequences Consisting of Two Different Sets of Exchangeable Variables

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Abstract

We consider two different sets of exchangeable samples which are assumed to be dependent. A single set of observations is obtained from these two dependent samples. The distribution of single order statistic, and the joint distribution of the minimum and an arbitrary order statistic are derived. The results are illustrated in the context of reliability problem. (C) 2015 Elsevier B.V. All rights reserved.

Description

Bayramoglu, Ismihan/0000-0002-8575-8405; Eryilmaz, Serkan/0000-0002-2108-1781

Keywords

Exact distribution, Exchangeable random variables, Order statistics, order statistics, Inequalities; stochastic orderings, Exact distribution theory in statistics, exchangeable random variables, exact distribution

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0101 mathematics, 01 natural sciences

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7

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286

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1

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6

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Scopus : 8

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7

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