分布卷积的局部渐进性的一些充分条件和必要条件

Some Sufficient and Necessary Conditions of Local Asymptotic for Distributions Convolution

给出了支撑在(0,∞)上的两个分布卷积的局部渐进性的一些充分条件和必要条件,通过引入的一个新的分布族,推广了Asmussen,Foss和Korshunov(2003)[1]及Wang,Yang,Wang和Cheng(2007)[2]的相应的结果.通过一个反例说明了在文献[1]和文献[2]相应的结果中,一些局部长尾的条件或高阶控制的条件并不是必要的.

In this paper, the authors give some sufficient and necessary conditions of local asymptotic for two distributions convolution with their supports on (0, ∞ ) and extend corresponding findings of Asmussen, S., Foss, S. and Korshunov. D. (2003)[1] and Wang, Y. B., Yang, Y., Wang, K. Y. and Cheng, D. Y. (2007)[2] by defining a new class of distribution . Using a opposite example, it has illustrated some local long-tailed or high controlled conditions which are not necessary in corresponding findings of [1] and [2].