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Generalized Rosenthal's inequality for Banach-space-valued martingales

โœ Scribed by Yu Lin

Book ID
108422356
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
198 KB
Volume
29
Category
Article
ISSN
0252-9602

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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