一类单瞬时态Q矩阵

A Glass of The Q-Matrices with An Instantaneous State

不中断Q过程的唯一性问题是Q过程理论所研究的主要问题.但目前已知的不中断Q过程唯一的单瞬时态Q矩阵例子均要求:>0(其中b为瞬时态),例如:kolmogorovQ矩阵,满足δ-条件的Q矩阵.本文给出了一类单瞬时态Q矩阵,它们的不中断Q过程存在且唯一,并且=0(其中b为瞬时态).利用上述结果,我们还指出了D.williams中一个结论的条件并不是必要的.

The problem of the uniqueness of the honest Q-process is the main problem of the Q-process theory.However, the known examples of the Q-matrices with an instantaneous state and a unique honest Q-process all satisfy the following condition. ??>0 (b is the instantaneous state) For example, kolmogorov Q-matrices and the Q-matrices satisfying thg δ-condition. This paper gives a class of the Q-matrices with an instantaneous state and a unique honest Q-process and satisfying the following condition: ??=0 (b is the instantaneous state) Using this kind of the Q-matrices, we prove that the condition of a result in D.williams is not necessary.