Precise lim sup behavior of probabilities of large deviations for sums of i.i.d. random variables.
Li, Deli, Rosalsky, Andrew (2004)
International Journal of Mathematics and Mathematical Sciences
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Li, Deli, Rosalsky, Andrew (2004)
International Journal of Mathematics and Mathematical Sciences
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Yu Miao (2009)
Commentationes Mathematicae Universitatis Carolinae
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We prove a moderate deviation principle for Minkowski sums of i.i.d. random compact sets in a Banach space.
Sakagawa, Hironobu (2009)
Electronic Journal of Probability [electronic only]
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Guang-hui Cai (2011)
Czechoslovak Mathematical Journal
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In this paper we obtain a strong invariance principle for negatively associated random fields, under the assumptions that the field has a finite th moment and the covariance coefficient exponentially decreases to . The main tools are the Berkes-Morrow multi-parameter blocking technique and the Csörgő-Révész quantile transform method.
Gao, F., Hannig, J., Torcaso, F. (2003)
Electronic Journal of Probability [electronic only]
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Roitershtein, Alexander (2005)
Electronic Communications in Probability [electronic only]
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Farahmand, K., Sambandham, M. (2006)
International Journal of Mathematics and Mathematical Sciences
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Zhou, Xing-Cai, Lin, Jin-Guan (2010)
Journal of Inequalities and Applications [electronic only]
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