Bahadur—Kiefer representation properties of intermediate order statistics
✍ Scribed by Kamal C. Chanda
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 242 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0167-7152
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📜 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 investigate the almost sure stability of intermediate order statistics of a sample from a multivariate distribution. It is shown that the ordering of the multivariate sample based on an increasing family of conditional quantile surfaces enables us to use a univariate approach. In the univariate c