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
Sheikhy,A . "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
CHICAGO
A 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
VANCOUVER
Sheikhy A. On an independent result using order statistics and their concomitant. J. Mahani Math. Res.. 2017;4(1):1-10. doi: 10.22103/jmmrc.2017.1639
