SINGLE BIRTH PROCESSES  

作　　者：CHEN MUFA(Department of Mathematics,Beijing Normal University,Beijing 100875,China) 

出　　处：《Chinese Annals of Mathematics,Series B》1999年第1期77-82,共6页数学年刊（B辑英文版）

摘　　要：The single birth process is a Markov chain, either time-continuous or time-discrete, valuedin the non-negative integers: the system jumps with positive rate from k to k + 1 but not tok +j for all j 2 (this explains the meaning of 'single birth') . However, there is no restrictionfor the jumps from k to k - j(1 j< k). This note mainly deals with the uniqueness problemfor the time-continuous processes with an extension: the jumps from k to k + 1 may also beforbidden for at most finite number of k. In both cases (time-continuous or -discrete), thehitting probability and the first moment of the hitting time are also studied

关 键 词：Markov chains Single birth process Uniqueness criterion 

分 类 号：O211.62[理学—概率论与数理统计]