Tang, Qihe Insensitivity to negative dependence of the asymptotic behavior of precise large deviations. (English) Zbl 1109.60021 Electron. J. Probab. 11, Paper No. 4, 107-120 (2006). Summary: Since the pioneering works of C. C. Heyde, A.V. Nagaev, and S. V. Nagaev in 1960’s and 1970’s, the precise asymptotic behavior of large-deviation probabilities of sums of heavy-tailed random variables has been extensively investigated by many people, but mostly it is assumed that the random variables under discussion are independent. We extend the study to the case of negatively dependent random variables and we find out that the asymptotic behavior of precise large deviations is insensitive to the negative dependence. Cited in 1 ReviewCited in 54 Documents MSC: 60F10 Large deviations PDF BibTeX XML Cite \textit{Q. Tang}, Electron. J. Probab. 11, Paper No. 4, 107--120 (2006; Zbl 1109.60021) Full Text: DOI EuDML