Some strong limit theorems for weighted product sums of -mixing sequences of random variables.
Wu, Qunying, Jiang, Yuanying (2009)
Journal of Inequalities and Applications [electronic only]
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Wu, Qunying, Jiang, Yuanying (2009)
Journal of Inequalities and Applications [electronic only]
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Sung, Soo Hak (2009)
Journal of Inequalities and Applications [electronic only]
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Maurer, Andreas (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Xuejun, Wang, Shuhe, Hu, Wenzhi, Yang, Yan, Shen (2010)
Journal of Inequalities and Applications [electronic only]
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Kläver, Hendrik, Schmitz, Norbert (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Mason, David M., Zinn, Joel (2005)
Electronic Communications in Probability [electronic only]
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Wang, Xuejun, Hu, Shuhe, Yang, Wenzhi (2010)
Discrete Dynamics in Nature and Society
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Amini, D. M., Bozorgnia, A. (2003)
Journal of Applied Mathematics and Stochastic Analysis
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Cai, Guang-Hui (2006)
Discrete Dynamics in Nature and Society
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Neammanee, K. (2005)
International Journal of Mathematics and Mathematical Sciences
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Peter Eichelsbacher, Matthias Löwe (2003)
ESAIM: Probability and Statistics
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We derive necessary and sufficient conditions for a sum of i.i.d. random variables – where , but – to satisfy a moderate deviations principle. Moreover we show that this equivalence is a typical moderate deviations phenomenon. It is not true in a large deviations regime.
Cai, Guang-Hui (2006)
Journal of Applied Mathematics and Stochastic Analysis
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Sung, Soo Hak (2009)
Journal of Inequalities and Applications [electronic only]
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