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A Berry-Esseen Theorem and a Law of the Iterated Logarithm for Asymptotically Negatively Associated Sequences
Berry--Esseen theorem law of the iterated logarithm negative association asymptotically negative association
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2007/12/11
Negatively associated sequences have been studied extensively in recent years. Asymptotically negative association is a generalization of negative association. In this paper a Berry--Esseen theorem an...
On the Relationship between the Baum-Katz-Spitzer Complete Convergence Theorem and the Law of the Iterated Logarithm
partial sums of i.i.d. Banach space-valued random variables Baum--Katz--Spitzer complete convergence theorem law of the iterated logarithm almost sure convergence
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2007/12/11
For a sequence of i.i.d. Banach space-valued random variables $\{X_{n}; ~n \geq 1 \}$ and a sequence of positive constants $\{a_{n}; ~n \geq 1 \}$, the relationship between the Baum--Katz--Spitzer com...
A LAW OF THE ITERATED LOGARITHM FOR RANDOM WINDOW-WIDTH KERNEL ESTIMATOR OF A NONPARAMETRIC REGRESSION FUNCTION
Regression function random window-width
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2007/8/7
In this paper we study the estimation of the regression function. We establish a law ofthe iterated logarithm for the random window-width kernel estimator and, as an application, for a nearest neighbo...