NAGHAVY, M., MADADI, M., AMIRZADEH, V. (2013). SHANNON ENTROPY IN ORDER STATISTICS AND THEIR
CONCOMITANS FROM BIVARIATE NORMAL DISTRIBUTION. Journal of Mahani Mathematical Research Center, 1(2), 111-118. doi: 10.22103/jmmrc.2013.566
M. NAGHAVY; M. MADADI; V. AMIRZADEH. "SHANNON ENTROPY IN ORDER STATISTICS AND THEIR
CONCOMITANS FROM BIVARIATE NORMAL DISTRIBUTION". Journal of Mahani Mathematical Research Center, 1, 2, 2013, 111-118. doi: 10.22103/jmmrc.2013.566
NAGHAVY, M., MADADI, M., AMIRZADEH, V. (2013). 'SHANNON ENTROPY IN ORDER STATISTICS AND THEIR
CONCOMITANS FROM BIVARIATE NORMAL DISTRIBUTION', Journal of Mahani Mathematical Research Center, 1(2), pp. 111-118. doi: 10.22103/jmmrc.2013.566
NAGHAVY, M., MADADI, M., AMIRZADEH, V. SHANNON ENTROPY IN ORDER STATISTICS AND THEIR
CONCOMITANS FROM BIVARIATE NORMAL DISTRIBUTION. Journal of Mahani Mathematical Research Center, 2013; 1(2): 111-118. doi: 10.22103/jmmrc.2013.566
SHANNON ENTROPY IN ORDER STATISTICS AND THEIR
CONCOMITANS FROM BIVARIATE NORMAL DISTRIBUTION
1YOUNG RESEARCHERS SOCIETY, SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, I.R.IRAN.
2MAHANI MATHEMATICAL RESEARCH CENTER, SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, I.R.IRAN.
3DEPARTMENT OF STATISTICS, SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, I.R.IRAN.
Abstract
In this paper, we derive rst some results on the Shannon entropy in order statistics and their concomitants arising from a sequence of f(Xi; Yi) : i = 1; 2; :::g independent and identically distributed (iid) random variables from the bivariate normal distribution and extend our results to a collection C(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 Shannon entropy in order statistics and their concomitants from a bivariate normal distribution.
Top