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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Wu, Qunying (2010)
Journal of Inequalities and Applications [electronic only]
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Kruglov, Victor M. (2010)
Journal of Probability and Statistics
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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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Journal of Applied Mathematics
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International Journal of Mathematics and Mathematical Sciences
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Le Van Thanh (2005)
International Journal of Mathematics and Mathematical Sciences
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Wu, Qunying (2011)
Journal of Probability and Statistics
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Mercer, A.McD. (2003)
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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...
Tómács, Tibor, Líbor, Zsuzsanna (2006)
Annales Mathematicae et Informaticae
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