关于重尾分布间的控制关系及其应用

The Dominant Relations and Their Applications on Some Subclasses of Heavy-Tailed Distributions

得到了能控制一切轻尾分布及一切轻度重尾分布的分布的等价条件,得到了能控制一切轻尾分布的分布的等价条件,讨论了分布与其相应的均衡分布之间的控制关系,并给出了上述控制关系在和的分布的封闭性等方面的应用.

We've obtained the equivalent condition of the distributions which can dominate all light-tailed distributions, as well as those which can dominate all light-tailed distributions and lightly heavy-tailed distributions. We discuss the dominant relations between distrbutions and their corresponding equilibrium distributions. We also give some applications in the closure of sums based on some dominant correlations above-mentioned.