Complete convergence for negatively dependent sequences of random variables.
Wu, Qunying (2010)
Journal of Inequalities and Applications [electronic only]
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Displaying similar documents to “Exponential inequalities for sums of weakly dependent variables.”
Complete convergence for negatively dependent sequences of random variables.
Strong laws of large numbers for -valued random fields.
Lagodowski, Zbigniew A. (2009)
Discrete Dynamics in Nature and Society
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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...
Complete convergence for maximal sums of negatively associated random variables.
Kruglov, Victor M. (2010)
Journal of Probability and Statistics
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On convergence for sequences of pairwise negatively quadrant dependent random variables
Yongfeng Wu, Guangjun Shen (2014)
Applications of Mathematics
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In this paper, some new results on complete convergence and complete moment convergence for sequences of pairwise negatively quadrant dependent random variables are presented. These results improve the corresponding theorems of S. X. Gan, P. Y. Chen (2008) and H. Y. Liang, C. Su (1999).
A proof of a non-commutative central limit theorem by the Lindeberg method.
Kargin, Vladislav (2007)
Electronic Communications in Probability [electronic only]
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Some mean convergence and complete convergence theorems for sequences of -linearly negative quadrant dependent random variables
Yongfeng Wu, Andrew Rosalsky, Andrei Volodin (2013)
Applications of Mathematics
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The structure of linearly negative quadrant dependent random variables is extended by introducing the structure of -linearly negative quadrant dependent random variables (). For a sequence of -linearly negative quadrant dependent random variables and (resp. ), conditions are provided under which in (resp. in ). Moreover, for , conditions are provided under which converges completely to . The current work extends some results of Pyke and Root (1968) and it extends and...