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SHANNON ENTROPY IN ORDER STATISTICS AND THEIR CONCOMITANS FROM BIVARIATE NORMAL DISTRIBUTION | ||
| Journal of Mahani Mathematical Research | ||
| مقاله 2، دوره 1، شماره 2، خرداد 2012، صفحه 111-118 اصل مقاله (250.31 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2013.566 | ||
| نویسندگان | ||
| 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. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Bivariate Normal Distribution؛ Concomitants of Order Statistics؛ Shan- non Entropy | ||
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