Extensions of the Hájek–Rényi inequality to moments of higher order
✍ Scribed by Dunnage, J. E. A.
- Book ID
- 120541571
- Publisher
- Cambridge University Press
- Year
- 1972
- Tongue
- English
- Weight
- 734 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0305-0041
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The necessary and su cient conditions are given for some stochastic process to be an empirical distribution function from some exchangeable random variables. The result is applied to establish sharp lower and upper bounds for order statistics based on possibly dependent random variables.
A p-smoothable Banach space is characterized in terms of the Hhjek-R~nyi inequality for Banach space valued martingales. As applications of this inequality, the strong law of large numbers and integrability of the supremum of Banach space valued martingales are also given. Keywords." Banach space v