Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 1999; 14(3): 597-609

Printed September 1, 1999

Copyright © The Korean Mathematical Society.

A CLT for Weakly Dependent Random Fields

Tae-Il Jeon

Taejon University

Abstract

In this article we prove a central limit theorem for strictly stationary weakly dependent random fields with some interlaced mixing conditions. Mixing coefficients are not assumed. The result is basically the same to Peligrad (\cite{Pel96}), which is a CLT for weakly dependent arrays of random variables. The proof is quite similar to that of Peligrad.

Keywords: central limit theorem, weakly dependent random field

MSC numbers: 60F05