Some special cases of a general convergence rate theorem in the law of large numbers.

Tómács, Tibor

Displaying similar documents to “Some special cases of a general convergence rate theorem in the law of large numbers.”

A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements.

Volodin, A., Antonini, Giuliano R., Hu, T.-C. (2004)

Lobachevskii Journal of Mathematics

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On convergence of series of random elements via maximal moment relations with applications to martingale convergence and to convergence of series with $p$ -orthogonal summands.

Rosalsky, Andrew, Volodin, Andrei I. (2001)

Georgian Mathematical Journal

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

J. Kuelbs (1978)

Colloquium Mathematicae

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Unconditional convergence of random series and the geometry of Banach spaces.

Kvaratskhelia, V. (2000)

Georgian Mathematical Journal

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On the rate of convergence of bootstrapped means in a Banach space.

Ejaz Ahmed, S., Hu, T.-C., Volodin, Andrei I. (2001)

International Journal of Mathematics and Mathematical Sciences

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A new convergence theorem for Steffensen's method on Banach spaces and applications.

Argyros, Ioannis K. (1997)

Southwest Journal of Pure and Applied Mathematics [electronic only]

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On the convergence and unconditional convergence of series of operators on Banach spaces.

A. Aizpuru, A. Gutiérrez-Dávila, A. Sala (2004)

Extracta Mathematicae

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We study Kalton's theorem on the unconditional convergence of series of compact operators and we use some matrix techniques to obtain sufficient conditions, weaker than the previous one, on the convergence and unconditional convergence of series of compact operators.

A note on fusion Banach frames

S. K. Kaushik, Varinder Kumar (2010)

Archivum Mathematicum

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For a fusion Banach frame $({G_{n}, v_{n}}, S)$ for a Banach space $E$ , if $({v_{n}^{*} (E^{*}), v_{n}^{*}}, T)$ is a fusion Banach frame for $E^{*}$ , then $({G_{n}, v_{n}}, S; {v_{n}^{*} (E^{*}), v_{n}^{*}}, T)$ is called a fusion bi-Banach frame for $E$ . It is proved that if $E$ has an atomic decomposition, then $E$ also has a fusion bi-Banach frame. Also, a sufficient condition for the existence of a fusion bi-Banach frame is given. Finally, a characterization of fusion bi-Banach frames is given.

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.

Mean convergence theorem for multidimensional arrays of random elements in Banach spaces.

Le Van Thanh (2006)

Journal of Applied Mathematics and Stochastic Analysis

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