参考文献/References:
[1] Heyde C C.On large deviation problems for sums of random variables which are not attracted to the normal law [J].Ann Math Statist,1967,38(5):1575-1578.
[2] Heyde C C.A contribution to the theory of large deviations for sums of independent random variables [J].Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete,1967,7(5):303-308.
[3] Cline D B H,Hsing T.Large deviation probabilities for sums and maxima of random variables with heavy or subexponential tails [D].Corpus Christi:Texas A and M University,1991.
[4] Klüppelberg C,Mikosch T.Large deviations of heavy-tailed random sums with applications in insurance and finance [J].J Appl Prob,1997,34(2):293-308.
[5] Su Chun,Tang Qihe,Jiang Tao.A contribution to large deviations for heavy-tailed random sums [J].Science in China:A,2001,44(4):438-444.
[6] 黄丽,明瑞星,周少南.随机和的局部精细大偏差 [J].江西师范大学学报:自然科学版,2010,34(1):30-36.
[7] 明瑞星,黄丽,周少南.随机和局部精细大编差的应用 [J].江西师范大学学报:自然科学版,2011,35(5):471-477.
[8] Liu Li.Precise large deviations for dependent random variables with heavy tails [J].Stat Prob Lett,2009,79(9):1290-1298.
[9] Ng K W,Tang Qihe,Yan Jia'an,et al.Precise large deviations for the prospective-loss process [J].J Appl Probab,2003,40(2):391-400.
[10] 马学敏,胡亦均.复合二项过程风险模型的精细大偏差及有限时间破产概率 [J].数学学报,2008,51(6):1119-1130.
[11] 肖鸿民,马慧娟.负相依重尾索赔条件下损失过程的精细大偏差 [J].兰州大学学报:自然科学版,2011,47(3):101-107.
[12] Block H W,Savits T H,Shaked M.Some concepts of negative dependence [J].Ann Probab,1982,10(3):765-772.
[13] Tang Qihe.Insensitivity to negative dependence of the asymptotic behavior of precise large deviations [J].Electron Prob,2006,11(4):107-120.
[14] 肖鸿民,刘建霞.带负相依重尾潜在索赔额的风险模型的有限时间破产概率 [J].山东大学学报:理学版,2011,46(9):117-121