Journal of the
Korean Mathematical Society
JKMS

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

Article

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J. Korean Math. Soc. 2012; 49(2): 223-233

Printed March 1, 2012

https://doi.org/10.4134/JKMS.2012.49.2.223

Copyright © The Korean Mathematical Society.

Limsup results and a generalized uniform LIL for an LPQD sequence

Yong-Kab Choi, Kyo-Shin Hwang, and Hee-Jin Moon

Gyeongsang National University, Gyeongsang National University, Gyeongsang National University

Abstract

In this paper we establish some limsup results and a generalized uniform law of the iterated logarithm (LIL) for the increments of partial sums of a strictly stationary and linearly positive quadrant dependent (LPQD) sequence of random variables.

Keywords: linearly positive quadrant dependence, strictly stationary sequence, law of the iterated logarithm

MSC numbers: 60F15, 60G17