Davis’s inequalities for two-parameter Banach space valued strong martingales and geometrical properties of Banach spaces
✍ Scribed by Ye Chen; Gan Shi-xin; Zhang Feng
- Publisher
- Wuhan University
- Year
- 2000
- Tongue
- English
- Weight
- 308 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1007-1202
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Applications of Whittle's inequality for Banach space valued martingales are discussed generalizing recent results of Shixin (Statist. Probab. Lett. 32 (1997) [245][246][247][248] and earlier results of Rao (Theory Probab. Math. Statist. 16 (1978) 111-116) for Hilbert space valued martingales.
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