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http://dx.doi.org/10.5831/HMJ.2010.32.1.091

A STRONG LAW OF LARGE NUMBERS FOR AANA RANDOM VARIABLES IN A HILBERT SPACE AND ITS APPLICATION  

Ko, Mi-Hwa (Department of Statistics, WonKwang University)
Publication Information
Honam Mathematical Journal / v.32, no.1, 2010 , pp. 91-99 More about this Journal
Abstract
In this paper we introduce the concept of asymptotically almost negatively associated random variables in a Hilbert space and obtain the strong law of large numbers for a strictly stationary asymptotically almost negatively associated sequence of H-valued random variables with zero means and finite second moments. As an application we prove a strong law of large numbers for a linear process generated by asymptotically almost negatively random variables in a Hilbert space with this result.
Keywords
Almost sure convergence; linear process in a Hilbert space; asymptotically almost negatively associated; linear operator; Hilbert space valued random variable;
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Times Cited By KSCI : 1  (Citation Analysis)
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