Anake, T. A. and Edeki, S.O. and Oguntunde, P.E. and Odetunmibi, , O. A. (2014) On a Z-Transformation Approach to a Continuous-Time Markov Process with Nonfixed Transition Rates. Gen. Math. Notes, 24 (2). pp. 85-96. ISSN 2219-7184;
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Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Markov Processes, Birth-Death Process, Z-Transform, Generating Function, Characteristic Differential Equation. |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Divisions: | Faculty of Engineering, Science and Mathematics > School of Mathematics |
| Depositing User: | Mrs Hannah Akinwumi |
| Date Deposited: | 01 Mar 2016 15:32 |
| Last Modified: | 01 Mar 2016 15:32 |
| URI: | http://eprints.covenantuniversity.edu.ng/id/eprint/6287 |
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