论文标题
从第一次击打时间分布中复制初始分布的出生和死亡过程
Reproduction of initial distributions from the first hitting time distribution for birth-and-death processes
论文作者
论文摘要
对于出生和死亡的过程，我们表明每个初始分布都是从第一次打击时间分布复制的。复制是通过应用于分布函数通过生成器特征功能定义的差分运算符来完成的。使用光谱理论用于广义二阶差异操作员，我们研究了不对称的随机步行。
For birth-and-death processes, we show that every initial distribution is reproduced from the first hitting time distribution. The reproduction is done by applying to the distribution function a differential operator defined through the eigenfunction of the generator. Using the spectral theory for generalized second-order differential operators, we study asymmetric random walks.
