【摘要】 本文研究了具有随机控制函数的受控分枝过程的各类概率母函数间的关系.利用对概率母函数求导的方法,获得了过程的期望和方差,推广了该过程概率母函数和矩量的一些基本结果.更多还原

【Abstract】 This article concerns the relations between the probability generating functions of the controlled branching process with random control function.By derivation of the probability generating functions,the conditional or unconditional expectation and variance of the process are obtained.These relations and moments generalize some basic results of the process in terms of the probability generating functions、expectation and variance.更多还原