摘要
设有某人口集合，其中有某个体死亡后，新的个体诞生．把每个个体的寿命看作随机变量，分布函数为Ｆ（ｔ）．并设ｎ（ｔ）表示在时间ｔ以前的更新（辈数）次数．本文研究年龄过程Ｘ（ｔ）的极限分布和转移概率，推出以Ｎ（ｔ）和Ｆ（ｔ）表示的数学表达式．
If there is a population collection，once an element belonging to the col- lection died，a new element will enverge．The age of an element can be considered as a random variable with distribution function F（t）．The generations renew times within a period t is expressed as N（t）．In this paper，limit distribution and transition probability of age process are studied．Mathematic expressions in terms of N（t）and F（t）are infered．
关键词
随机变量
寿命
分布函数
转移概率
random variables；lifetimes；distribution function；transition proba- bility
