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Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2011; 48(2): 343-351

Printed March 1, 2011

https://doi.org/10.4134/BKMS.2011.48.2.343

Copyright © The Korean Mathematical Society.

A strong limit theorem for sequences of blockwise and pairwise $m$-dependent random variables

Van Thanh Le and Ngoc Anh Vu

Vinh University, Vinh University

Abstract

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In this paper, we establish a Marcinkiewicz-Zygmund type strong law for sequences of blockwise and pairwise $m$-dependent random variables. The sharpness of the results is illustrated by an example.

Keywords: blockwise quasiorthogonal random variables, blockwise and pairwise $m$-dependent random variables, strong law of large numbers

MSC numbers: 60F15

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