摘要
本文研究以0为反射壁和以0为拟飞射壁的两种生灭过程爆发前的向下性质,通过首次引入含一个边界的无穷维线性方程组,得到了多种情况下过程在爆发前从状态k(k≥i)运动到状态i-1的平均时间的精确表达式;同时,我们还定义了特征数eia,并表明了它的概率意义.
This paper deals with downward properties of two kinds of birth and death processes with state 0 as their reflecting and quasi-leap-reflecting barriers before explosion. By first proposing a system of infinite dimensional linear equations with one boundary, we obtain some precise expressions of average time when the processes move from state k (k ≥ i) to state i - 1 in several cases. On the other hand, we not only give a new defination of the characteristic number eia but also show its probability meaning.
出处
《应用概率统计》
CSCD
北大核心
2005年第2期188-196,共9页
Chinese Journal of Applied Probability and Statistics
基金
国家自然科学基金资助.
