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Journal of Mahani Mathematical Research Center
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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

Article 2, Volume 1, Issue 2, Winter and Spring 2012, Page 111-118  XML PDF (250 K)
Document Type: Research Paper
DOI: 10.22103/jmmrc.2013.566
Authors
M. NAGHAVY1; M. MADADI 2; V. AMIRZADEH3
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.
Keywords
Bivariate Normal Distribution; Concomitants of Order Statistics; Shan- non Entropy
Statistics
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