The Hájek-Rényi inequality for Banach space valued martingales and the p smoothness of Banach spaces

Gan Shixin

Statistics & Probability Letters, 1997, vol. 32, issue 3, 245-248

Abstract: A p-smoothable Banach space is characterized in terms of the Hájek-Rényi 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; valued; martingale; Hájek-Rényi; inequality; p-smoothable; space; Strong; law; of; large; numbers (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (4)

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