Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 1998; 35(2): 279-292

Printed June 1, 1998

Copyright © The Korean Mathematical Society.

Maximal inequalities with an application to the weak convergence for 2-parameter arrays of positively dependent random variables

Tae-Sung Kim and Eun-Yang Seok

Wonkwang University, Wonkwang University

Abstract

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We derive maximal inequalities of linearly positive quadrant dependent $(LPQD)$ random variables for $d=1,2$. With an application we also obtain the weak convergence for 2-parameter arrays of $LPQD$ random variables.

Keywords: associated, linearly positive quadrant dependent, maximal inequality, weak convergence

MSC numbers: 60F05, 60E15

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