On the nonexistence of a law of the iterated logarithm for weighted sums of identically distributed random variables.
Adler, André (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Adler, André (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Adler, André (2007)
Journal of Applied Mathematics and Stochastic Analysis
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Adler, Andre, Rosalsky, Andrew, Taylor, Robert L. (1989)
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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Gao, F., Hannig, J., Torcaso, F. (2003)
Electronic Journal of Probability [electronic only]
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Adler, André (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.
Xuejun, Wang, Shuhe, Hu, Wenzhi, Yang, Yan, Shen (2010)
Journal of Inequalities and Applications [electronic only]
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Roitershtein, Alexander (2005)
Electronic Communications in Probability [electronic only]
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Zhou, Xing-Cai, Tan, Chang-Chun, Lin, Jin-Guan (2011)
Journal of Inequalities and Applications [electronic only]
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Zeng, Hong-Gang, Zhou, Ze-Hua (2010)
Journal of Inequalities and Applications [electronic only]
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Ueki, Sei-Ichiro, Luo, Luo (2008)
Abstract and Applied Analysis
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Adler, André (2004)
International Journal of Mathematics and Mathematical Sciences
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