混合Poisson分布随机递增的条件

Conditions on the Stochastic Increase of Mixed Poisson Distribution

本文讨论服从混合Poisson分布的随机变量,证明了当混合参数依期望序,通常意义的随机序,增凸(凹)序,增的对数凸(凹)序,s-凸序或者下端有偏序增加时,变量本身也依相应的随机序增加。

The mixed Poisson distributed random variable is discussed in this paper. It is showed that it increases, respectively, in the sense of expectation ordering, usual stochastic ordering, increase and convex （concave） ordering, increasing and log-convex （concave） ordering, s-convex ordering and lower length-biased ordering if its mixture parameter increases according to the corresponding ordering.