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 |
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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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