On Feller's criterion for the law of the iterated logarithm.
Li, Deli, Rao, M.Bhaskara, Wang, Xiangchen (1994)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Convergence to infinitely divisible distributions with finite variance for some weakly dependent sequences”
On Feller's criterion for the law of the iterated logarithm.
When does a randomly weighted self-normalized sum converge in distribution?
Mason, David M., Zinn, Joel (2005)
Electronic Communications in Probability [electronic only]
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An invariance principle for LPQD random variables.
Oliveira, P.E., Suquet, Ch. (1996)
Portugaliae Mathematica
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Precise rates in log laws for NA sequences.
Zhao, Yuexu (2007)
Discrete Dynamics in Nature and Society
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Moment inequalities connected with accompanying Poisson laws in Abelian groups.
Borisov, I.S. (2003)
International Journal of Mathematics and Mathematical Sciences
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A strong invariance principle for negatively associated random fields
Guang-hui Cai (2011)
Czechoslovak Mathematical Journal
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In this paper we obtain a strong invariance principle for negatively associated random fields, under the assumptions that the field has a finite th moment and the covariance coefficient exponentially decreases to . The main tools are the Berkes-Morrow multi-parameter blocking technique and the Csörgő-Révész quantile transform method.
A bound for the distribution of the hitting time of arbitrary sets by random walk.
Járai, Antal A., Kesten, Harry (2004)
Electronic Communications in Probability [electronic only]
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Limit distributions for the ratio of the random sum of squares to the square of the random sum with applications to risk measures.
Ladoucette, Sophie A., Teugels, Jef J. (2006)
Publications de l'Institut Mathématique. Nouvelle Série
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Strong law of large numbers for -mixing sequences with different distributions.
Cai, Guang-Hui (2006)
Discrete Dynamics in Nature and Society
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On the bounded laws of iterated logarithm in Banach space
Dianliang Deng (2005)
ESAIM: Probability and Statistics
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In the present paper, by using the inequality due to Talagrand’s isoperimetric method, several versions of the bounded law of iterated logarithm for a sequence of independent Banach space valued random variables are developed and the upper limits for the non-random constant are given.