On a Z-Transformation Approach to a Continuous-Time Markov Process with Nonfixed Transition Rates

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The paper presents z-transform as a method of functional transformation with respect to its theory and properties in dealing with discrete systems. We therefore obtain the absolute state probabilities as a solution of a differential equation corresponding to a given Birth-and–Death process via the z-transform, and deduce the equivalent stationary state probabilities of the system.

Published at Gen. Math. Notes,

Volume 24

Issue 2

Pages 85-96.

Published in 2014

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T.A. Anake, S.O. Edeki, P.E. Oguntunde , & O.A. Odetunmibi

EDEKI Sunday Onos » Dr. S. O. EDEKI is a Lecturer and a Researcher in the Department of MATHEMATICS, College of Science & Technology, Covenant University, Canaanland, Km 10, Idiroko Rd, Otta, Ogun State, Nigeria, West Africa. Dr. S. O. Edeki obtained his first degree-Bsc (Ed) Mathematics from Delta State University, Abraka and a second degree- Msc Mathematics from University of Ibadan, Ibadan, Nigeria. His... view full profile

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