Almost sure central limit theorems for strongly mixing and associated random variables.
Gonchigdanzan, Khurelbaatar (2002)
International Journal of Mathematics and Mathematical Sciences
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Gonchigdanzan, Khurelbaatar (2002)
International Journal of Mathematics and Mathematical Sciences
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Thierry de la Rue (2004)
Colloquium Mathematicae
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We give an example of a dynamical system which is mixing relative to one of its factors, but for which relative mixing of order three does not hold.
F. M. Dekking, M. Keane (1976)
Publications mathématiques et informatique de Rennes
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Nadine Guillotin-Plantard, Clémentine Prieur (2010)
ESAIM: Probability and Statistics
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We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to dependent random variables sampled by a -valued transient random walk. This extends the results obtained by [N. Guillotin-Plantard and D. Schneider, (2003) 477–497]. An application to parametric estimation by random sampling is also provided.
Zhou, Xing-Cai, Tan, Chang-Chun, Lin, Jin-Guan (2011)
Journal of Inequalities and Applications [electronic only]
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Zhu, Meng-Hu (2007)
Discrete Dynamics in Nature and Society
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Uno, T. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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Xinghui Wang, Xiaoqin Li, Shuhe Hu (2014)
Applications of Mathematics
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In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise -mixing random variables, and the Baum-Katz-type result for arrays of rowwise -mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of -mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012).
Michal Pešta (2011)
Acta Universitatis Carolinae. Mathematica et Physica
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Rio Emmanuel (1997)
ESAIM: Probability and Statistics
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