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http://dx.doi.org/10.5831/HMJ.2014.36.3.679

SOME CONVERGENCE THEOREM FOR AND RANDOM VARIABLES IN A HILBERT SPACE WITH APPLICATION  

Han, Kwang-Hee (Department of Computer Science, Howon University)
Publication Information
Honam Mathematical Journal / v.36, no.3, 2014 , pp. 679-688 More about this Journal
Abstract
The notion of asymptotically negative dependence for collection of random variables is generalized to a Hilbert space and the almost sure convergence for these H-valued random variables is obtained. The result is also applied to a linear process generated by H-valued asymptotically negatively dependent random variables.
Keywords
asymptotically negative dependence; Hilbert space; linear process; linear bounded operator; almost sure convergence; Rosenthal type inequality;
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