Pruitt's Estimates in Banach Space

Philip S. Griffin

doi:10.1007/s10959-009-0250-6

Pruitt's Estimates in Banach Space

Philip S. Griffin

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Pruitt's estimates on the expectation and the distribution of the time taken by a random walk to exit a ball of radius r are extended to the infinite-dimensional setting. It is shown that they separate into two pairs of estimates depending on whether the space is type 2 or cotype 2. It is further shown that these estimates characterize type 2 and cotype 2 spaces.

Original language	English (US)
Pages (from-to)	1092-1109
Number of pages	18
Journal	Journal of Theoretical Probability
Volume	23
Issue number	4
DOIs	https://doi.org/10.1007/s10959-009-0250-6
State	Published - Dec 2010

Keywords

Banach space
Cotype
Expected exit time
Probability estimates
Type

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Statistics, Probability and Uncertainty

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10.1007/s10959-009-0250-6

Cite this

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KW - Probability estimates

KW - Type

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Pruitt's Estimates in Banach Space

Abstract

Keywords

ASJC Scopus subject areas

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