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

نویسندگان

  • 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.
چکیده

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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عنوان ژورنال:

دوره 1  شماره 2

صفحات  111- 118

تاریخ انتشار 2013-03-11

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