Some recent results on the law of the iterated logarithm for Banach space valued random variables

J. Kuelbs

Displaying similar documents to “Some recent results on the law of the iterated logarithm for Banach space valued random variables”

On the bounded laws of iterated logarithm in Banach space

Dianliang Deng (2010)

ESAIM: Probability and Statistics

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In the present paper, by using the inequality due to Talagrand's isoperimetric method, several versions of the bounded law of iterated logarithm for a sequence of independent Banach space valued random variables are developed and the upper limits for the non-random constant are given.

On strong laws of large numbers for arrays of rowwise independent random elements.

Bozorgnia, Abolghassem, Patterson, Ronald Frank, Taylor, Robert Lee (1993)

International Journal of Mathematics and Mathematical Sciences

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Strong laws of large numbers for arrays of rowwise conditionally independent random elements.

Patterson, Ronald Frank, Bozorgnia, Abolghassem, Taylor, Robert Lee (1993)

Journal of Applied Mathematics and Stochastic Analysis

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Theorems of Thron's type for random-valued vector functions and the Krein-Rutman theorem

Rafał Kapica (2005)

Annales Polonici Mathematici

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We propose stochastic versions of some theorems of W. J. Thron [14] on the speed of convergence of iterates for random-valued functions on cones in Banach spaces.