Gaussian Random Sets in Banach Space

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Date

1987

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Theory of Probability & Its Applications

Abstract

We define a Gaussian random set in a Banach space, and we prove the following characterization theorem: Every Gaussian random set can be represented as the sum of its expected value and a Gaussian mean zero random element.

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Publisher's, offprint version

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Citation

Puri, M. L. "Gaussian random sets in Banach space." Translated by SIAM, Theory of Probability and Its Applications (1987), Volume 31 Issue 3, 598–601. Co-authors: Dan A. Ralescu and Stefan S. Ralescu.

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Article