ON AN INDEPENDENT RESULT USING ORDER STATISTICS AND THEIR CONCOMITANT

author

  • AYYUB SHEIKHI DEPARTMENT OF STATISTICS, FACULTY OF MATHEMATICS AND COMPUTER, SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, IRAN.
Abstract:

Let X1;X2;...;Xn have a jointly multivariate exchangeable normal distribution. In this work we investigate another proof of the independence of X and S2 using order statistics. We also assume that (Xi ; Yi); i =1; 2;...; n; jointly distributed in bivariate normal and establish the independence of the mean and the variance of concomitants of order statistics.

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Journal title

volume 4  issue 1

pages  1- 10

publication date 2017-05-10

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