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http://dx.doi.org/10.5351/CKSS.2009.16.4.687

A Central Limit Theorem for the Linear Process in a Hilbert Space under Negative Association  

Ko, Mi-Hwa (Department of Mathematics and Institute of Basic Natural Science, WonKwang University)
Publication Information
Communications for Statistical Applications and Methods / v.16, no.4, 2009 , pp. 687-696 More about this Journal
Abstract
We prove a central limit theorem for the negatively associated random variables in a Hilbert space and extend this result to the linear process generated by negatively associated random variables in a Hilbert space. Our result implies an extension of the central limit theorem for the linear process in a real space under negative association to a simplest case of infinite dimensional Hilbert space.
Keywords
Central limit theorem; negatively associated; linear operator; H-valued random variable; linear process;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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