A strong limit theorem for weighted sums of sequences of negatively dependent random variables.
Wu, Qunying (2010)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “On strong law of large numbers for dependent random variables.”
A strong limit theorem for weighted sums of sequences of negatively dependent random variables.
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Kruglov, Victor M. (2010)
Journal of Probability and Statistics
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Complete convergence for negatively dependent sequences of random variables.
Wu, Qunying (2010)
Journal of Inequalities and Applications [electronic only]
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International Journal of Mathematics and Mathematical Sciences
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Complete convergence for weighted sums of sequences of negatively dependent random variables.
Wu, Qunying (2011)
Journal of Probability and Statistics
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Mercer, A.McD. (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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A class of strong limit theorems for countable nonhomogeneous Markov chains on the generalized gambling system
Kangkang Wang (2009)
Czechoslovak Mathematical Journal
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In this paper, we study the limit properties of countable nonhomogeneous Markov chains in the generalized gambling system by means of constructing compatible distributions and martingales. By allowing random selection functions to take values in arbitrary intervals, the concept of random selection is generalized. As corollaries, some strong limit theorems and the asymptotic equipartition property (AEP) theorems for countable nonhomogeneous Markov chains in the generalized gambling system...
A Hájek-Rényi type inequality and its applications.
Tómács, Tibor, Líbor, Zsuzsanna (2006)
Annales Mathematicae et Informaticae
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