摘要
文章研究以0为反射壁和以0为拟飞射壁的2种生灭过程爆发前的性质,通过引入无穷维线性方程组和推移算子,得到了多种情况下此类过程在爆发前从状态i运动到状态n(i≤n≤∞)的平均时间的精确表达式。而且,一些已有结果是这里的特例。
This paper deals with some upward properties of two kinds of birth and death processes with state 0 as their reflecting and quasi_leap_reflecting barriers before explosions. By proposing a system of infinite dimensional linear equations and shift operator, we obtain some precise expressions of average time when the processes move from state i to state n(i≤n≤∞)in several cases.Moreover,some previous results are special cases of this paper.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
2004年第2期1-4,共4页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金资助项目(10271120)
关键词
Q^a过程
生灭过程
反射壁
拟飞射壁
爆发前
Q^a process
birth and death process
reflecting barrier
quasi-leap-reflecting barrier
before explosion
