Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2008; 45(3): 795-805

Printed May 1, 2008

Copyright © The Korean Mathematical Society.

Weak law of large numbers for adapted double arrays of random variables

Nguyen Van Quang and Nguyen Ngoc Huy

Vinh University, Vinh University

Abstract

The aim of this paper is to extend the ``classical degenerate convergence criterion" and the Feller weak law of large numbers to double adapted arrays of random variables.

Keywords: double adapted array of random variables, weak law of large numbers, convergence in probability, martingale difference, sum of i.i.d. random variables

MSC numbers: 60F05, 60G50, 60G42