单生过程数字特征的概率含义

Probabilistic Meanings of Numerical Characteristics for Single Birth Processes

摘要: 本文考虑了单生过程的一些数字特征,借助这些数字特征刻画了某些事件(如灭绝时间、回返时等)发生的概率.最后, 利用本文结果计算了两个例子的相关数字特征.

Abstract: We consider probabilistic meanings for some numerical characteristics of single birth processes. Some probabilities of events, such as extinction probability, returning probability, are represented in terms of these numerical characteristics. Two examples are also presented to illustrate the value of the results.