A multivariate immigration with multiple death process and applications to lunar craters
多类型移入与多重死亡过程及其月球陨石坑应用
We consider a stochastic model of a population composed of several types of individuals in which the Poissonwise arrival of an individual of ‘large’ type can cause the immediate death or loss of a certain number of individuals of smaller type. The survival of various small-type individuals is assumed independent, though possibly a function of the size of victim and killer. The probability generating function version of the forward Kolmogorov equation is derived, and from…