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On an independent result using order statistics and their concomitant | ||
| Journal of Mahani Mathematical Research | ||
| دوره 4، شماره 1، مرداد 2015، صفحه 1-10 اصل مقاله (149.26 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2017.1639 | ||
| نویسنده | ||
| Ayyub Sheikhy* | ||
| Department of Statistics, Faculty of mathematics and computer, Shahid Bahonar university of Kerman, Kerman, Iran | ||
| چکیده | ||
| Let $X_{1},X_{2},...,X_{n}$ have a jointly multivariate exchangeable normal distribution. In this work we investigate another proof of the independence of $X$ and $S^2$ using order statistics. We also assume that $(X_{i~},Y_{i}),i=1,2,...,n,$ jointly distributed in bivariate normal and establish the independence of the mean and the variance of concomitants of order statistics. | ||
| کلیدواژهها | ||
| skew normal؛ order statistics؛ concomitants؛ matrix normal؛ Kronecker product | ||
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آمار تعداد مشاهده مقاله: 72 تعداد دریافت فایل اصل مقاله: 38 |
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