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.
Sheikhy, A. (2017). On an independent result using order statistics and their concomitant. Journal of Mahani Mathematical Research, 4(1), 1-10. doi: 10.22103/jmmrc.2017.1639
MLA
Ayyub Sheikhy. "On an independent result using order statistics and their concomitant", Journal of Mahani Mathematical Research, 4, 1, 2017, 1-10. doi: 10.22103/jmmrc.2017.1639
HARVARD
Sheikhy, A. (2017). 'On an independent result using order statistics and their concomitant', Journal of Mahani Mathematical Research, 4(1), pp. 1-10. doi: 10.22103/jmmrc.2017.1639
VANCOUVER
Sheikhy, A. On an independent result using order statistics and their concomitant. Journal of Mahani Mathematical Research, 2017; 4(1): 1-10. doi: 10.22103/jmmrc.2017.1639
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