一类无限位相分布的尾部衰减特征

摘要

本文在分布概率生成函数或Laplace-Stieltjes变换的基础上讨论一类特殊的无限位相分布的尾部衰减性质.结果表明,与有限位相分布不同,所讨论的无限位相分布不再具有几何衰减或指数衰减的性质.%In this paper,we discuss tail asymptotics properties for a class of infinite phase type distributions based on probability generating function or Laplace-Stieltjes transform.The results show that,unlike finite phase cases,the tail asymptotics for the infinite phase type distributions we considered do not decay geometrically or exponentially.