On a Z-Transformation Approach to aContinuous-Time Markov Process with NonfixedTransition Rates

The paper presents z-transform as a method of funct ional transformation with respect to its theory and properties in dealing wit h discrete systems. We therefore obtain the absolute state probabilities as a soluti on of a differential equation corresponding to a given Birth-and‐Death process vi a the z-transform, and deduce the equivalent stationary state probabilitie s of the system.