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http://dx.doi.org/10.5351/CKSS.2008.15.6.959

A Weak Convergence of the Linear Random Field Generated by Associated Randomvariables ℤ2  

Kim, Tae-Sung (Institute of Basic Natural Science, WonKwang University)
Ko, Mi-Hwa (Institute of Basic Natural Science, WonKwang University)
Kim, Hyun-Chull (Department of Mathematics Education Daebul University)
Publication Information
Communications for Statistical Applications and Methods / v.15, no.6, 2008 , pp. 959-967 More about this Journal
Abstract
In this paper we show the weak convergence of the linear random(multistochastic process) field generated by identically distributed 2-parameter array of associated random variables. Our result extends the result in Newman and Wright (1982) to the linear 2-parameter processes as well as the result in Kim and Ko (2003) to the 2-parameter case.
Keywords
Weak convergence; linear random field; associated; maximal inequality; two-parameter process;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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