数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2010年
2期
333-337
,共5页
随机控制函数%受控分枝过程%概率母函数%期望%方差
隨機控製函數%受控分枝過程%概率母函數%期望%方差
수궤공제함수%수공분지과정%개솔모함수%기망%방차
random control function%controlled branching process%probability generating unction%expectation%variance
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.
本文研究瞭具有隨機控製函數的受控分枝過程的各類概率母函數間的關繫.利用對概率母函數求導的方法,穫得瞭過程的期望和方差,推廣瞭該過程概率母函數和矩量的一些基本結果.
본문연구료구유수궤공제함수적수공분지과정적각류개솔모함수간적관계.이용대개솔모함수구도적방법,획득료과정적기망화방차,추엄료해과정개솔모함수화구량적일사기본결과.
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.
