Q-process

For any Q-matrix,we obtain the sufficient and necessary conditions for exis-tence and uniqueness of recurrent Q process.

对任给的一个全稳定Q—矩阵,本文给出了存在常返Q过程的充要条件以及常返Q过程唯一的充要条件。

Feller solved the problem about existence of Q process,and constructed one mininal Q process-f(t).

Feller解决了Q过程存在性问题 ,且构造了一个最小Q过程 f(t) 。

Feller has solved the problem about the existence of Q process and constructed one minimal Q process- f(t).

Feller解决了Q过程存在性问题，并且构造了一个最小Q过程f(t)。

The Q-process for Strong-Conservative-Transition-Matrix and the solution of Q-process for Birth and Death Process;

保守转强阵Q的Q-过程与生灭转强阵Q-过程的求法

A necessary and sufficient condition for embedding Qprocesses into stochastic processes on permutation groups is obtained by the representation theory and the standard Q-process theory,which extends corresponding result of [3].

利用表示论和Q-过程的标准理论,得到了能将Q-过程嵌入置换群上的随机过程的充要条件,推广了[3]中的相关结论。

Shows how to construct the coupling operator of a continuous-time Q-processes(X(t),Z(t)) with Markovian Switching,parameter structure of X(t) are under the control of the Markov chain Z(t) with finite states.

给出了如何构造连续时间带马尔可夫切换的Q-过程(X(t),Z(t))的耦合算子,其中X(t)的参数结构被一个有限状态的马氏链Z(t)所控制,证明了此耦合在一定条件下是成功的。

For any Q-matrix,we obtain the sufficient and necessary conditions for exis-tence and uniqueness of recurrent Q process.

对任给的一个全稳定Q—矩阵,本文给出了存在常返Q过程的充要条件以及常返Q过程唯一的充要条件。