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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
【摘要】 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.
【Abstract】 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.
【基金】 受国家自然科学基金资助(No.10271087)
- 【文献出处】 应用概率统计 ,Chinese Journal of Applied Probability and Statisties , 编辑部邮箱 ,2005年01期
- 【分类号】O211.6
- 【被引频次】29
- 【下载频次】289