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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

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📜 SIMILAR VOLUMES


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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.

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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