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A Central Limit Theorem for the Linear Process in a Hilbert Space under Negative Association
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 Title & Authors
A Central Limit Theorem for the Linear Process in a Hilbert Space under Negative Association
Ko, Mi-Hwa;
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 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;
 Language
English
 Cited by
1.
Precise Rates in Complete Moment Convergence for Negatively Associated Sequences,;

Communications for Statistical Applications and Methods, 2009. vol.16. 5, pp.841-849 crossref(new window)
2.
A STRONG LAW OF LARGE NUMBERS FOR AANA RANDOM VARIABLES IN A HILBERT SPACE AND ITS APPLICATION,;

호남수학학술지, 2010. vol.32. 1, pp.91-99 crossref(new window)
1.
A STRONG LAW OF LARGE NUMBERS FOR AANA RANDOM VARIABLES IN A HILBERT SPACE AND ITS APPLICATION, Honam Mathematical Journal, 2010, 32, 1, 91  crossref(new windwow)
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