带某类配对函数的两性分支过程

A Bisexual Galton-Watson Branching Process with Certain Mating Function

利用概率母函数,对带有取值恒等于雌性数目的配对函数的两性Galton Watson分支过程,给出了其以概率1灭绝的充分必要条件,并求得了相应的数学期望与方差的表达式。

By means of probability generating function,for the bisexual GaltonWatson branching process with a certain mating function always taken the number of females as its value,the necessary and sufficient condition of the process extinction with probability 1 was given,and the expressions of expectation and variance of the process were obtained.