SHANNON ENTROPY IN ORDER STATISTICS AND THEIR CONCOMITANS FROM BIVARIATE NORMAL DISTRIBUTION

Authors

  • M. MADADI MAHANI MATHEMATICAL RESEARCH CENTER, SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, I.R.IRAN.
  • M. NAGHAVY YOUNG RESEARCHERS SOCIETY, SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, I.R.IRAN.
  • V. AMIRZADEH DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, I.R.IRAN.
Abstract:

In this paper, we derive rst some results on the Shannon entropyin order statistics and their concomitants arising from a sequence of f(Xi; Yi): i = 1; 2; :::g independent and identically distributed (iid) random variablesfrom the bivariate normal distribution and extend our results to a collectionC(X; Y ) = f(Xr1:n; Y[r1:n]); (Xr2:n; Y[r2:n]); :::; (Xrk:n; Y[rk:n])g of order sta-tistics and their concomitants. We nally compute the value of the Shannonentropy in order statistics and their concomitants from a bivariate normaldistribution.

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Journal title

volume 1  issue 2

pages  111- 118

publication date 2013-03-11

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