The Asymptotic Distribution Theory of Bivariate Order Statistics
โ Scribed by H.M. Barakat
- Book ID
- 110330418
- Publisher
- Springer Japan
- Year
- 2001
- Tongue
- English
- Weight
- 739 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0020-3157
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
If X 1 , ..., X n are random variables we denote by X (1) X (2) ... X (n) their respective order statistics. In the case where the random variables are independent and identically distributed, one may demonstrate very strong notions of dependence between any two order statistics X (i) and X ( j) . I
We show that the asymptotic distribution (Koziol, 1979, Commun. Statist.-Theor. Methods A8, 207-221) of the bivariate symmetry statistic standardized by 1=n 3 , where n is the number of iid paired observations from bivariate distribution F, fails to account for the conditional nature of the statisti