The law of the iterated logarithm for exchangeable random variables.
Zhang, Hu-Ming, Taylor, Robert L. (1995)
International Journal of Mathematics and Mathematical Sciences
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Zhang, Hu-Ming, Taylor, Robert L. (1995)
International Journal of Mathematics and Mathematical Sciences
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Rio Emmanuel (1997)
ESAIM: Probability and Statistics
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Wu, Qunying (2010)
Journal of Inequalities and Applications [electronic only]
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Nadine Guillotin-Plantard, Véronique Ladret (2005)
ESAIM: Probability and Statistics
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Let be a -random walk and be a sequence of independent and identically distributed -valued random variables, independent of the random walk. Let be a measurable, symmetric function defined on with values in . We study the weak convergence of the sequence , with values in the set of right continuous real-valued functions with left limits, defined by Statistical applications are presented, in particular we prove a strong law of large numbers for...
Kruglov, Victor M. (2010)
Journal of Probability and Statistics
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Wu, Qunying (2011)
Journal of Probability and Statistics
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Wu, Qunying (2010)
Journal of Inequalities and Applications [electronic only]
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Barakat, H.M., El-Shandidy, M.A. (2004)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Taylor, Robert Lee, Hu, Tien-Chung (1987)
International Journal of Mathematics and Mathematical Sciences
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Bozorgnia, Abolghassem, Patterson, Ronald Frank, Taylor, Robert Lee (1993)
International Journal of Mathematics and Mathematical Sciences
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François Germinet (2007-2008)
Séminaire Équations aux dérivées partielles
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In this review, we first recall a recent Bernoulli decomposition of any given non trivial real random variable. While our main motivation is a proof of universal occurence of Anderson localization in continuum random Schrödinger operators, we review other applications like Sperner theory of antichains, anticoncentration bounds of some functions of random variables, as well as singularity of random matrices.