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The convergence of the law of the logarithm involving negatively associated random fields
negatively associated random fields
2010/9/13
In this paper, the convergence of negatively associated random fields is investigated, two sufficiency conditions for the law of the logarithum are obtained by the Rosenthal and maximal Rosenthal ineq...
Precise Large Deviations for Sums of Negatively Associated Random Variables with Common Dominatedly Varying Tails
negatively associated dominatedly varying tail precise large deviation
2007/12/12
In this paper, we obtain results on precise large deviations for non-random and random sums of negatively associated nonnegative random variables with common dominatedly varying tail distribution func...
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
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...
The Invariance Principle for Linear Processes Generated by a Negatively Associated Sequence and Its Applications
linear process negatively associated sequence
2007/12/11
In this paper, we obtain the invariance principle for linear processes generated by a negatively associated sequence.