Precise asymptotics in some strong limit theorems for multidimensionally indexed random variables
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- Chen, Robert, 1978. "A remark on the tail probability of a distribution," Journal of Multivariate Analysis, Elsevier, vol. 8(2), pages 328-333, June.
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Cited by:
- Fa-mei Zheng & Qing-pei Zang, 2015. "A general pattern of asymptotic behavior of the R/S statistics for linear processes," Statistical Papers, Springer, vol. 56(1), pages 191-204, February.
- He, Jianjun, 2012. "An estimate of the remainder of a limit theorem," Statistics & Probability Letters, Elsevier, vol. 82(3), pages 478-487.
- Sergio Alvarez-Andrade & Salim Bouzebda, 2014. "Asymptotic results for hybrids of empirical and partial sums processes," Statistical Papers, Springer, vol. 55(4), pages 1121-1143, November.
- A. Spătaru, 2004. "Exact Asymptotics in log log Laws for Random Fields," Journal of Theoretical Probability, Springer, vol. 17(4), pages 943-965, October.
- Cai, Guang-hui & Wang, Jian-Feng, 2009. "Uniform bounds in normal approximation under negatively associated random fields," Statistics & Probability Letters, Elsevier, vol. 79(2), pages 215-222, January.
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Keywords
Multidimensional indices Tail probabilities of sums of i.i.d. random variables Stable distributions Domain of attraction Strong law Law of the iterated logarithm;Statistics
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