Vol. 4 No. 1 (2020): Vol 4, Iss 1, Year 2020
Articles

A study on association in time of a finite semi markov process

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  • Syed Tahir Hussainy,
  • Mohamed Ali A,
  • Ravi kumar S
Syed Tahir Hussainy
Associate Professor, Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi 635 752, Tirupattur District, Tamil Nadu, India
Mohamed Ali A
Associate Professor, Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi 635 752, Tirupattur District, Tamil Nadu, India.
Ravi kumar S
Research Scholar, Department of Mathematics, Islamiah College (Autonomous), Vaniyambadi 635 752, Tirupattur District, Tamil Nadu, India.
DOI: https://doi.org/10.26524/cm67
Published June 30, 2020
Keywords
  • Associated random variables, Product integrals, Semi Markov processes.
How to Cite
Hussainy, S. T., A, M. A., & S, R. kumar. (2020). A study on association in time of a finite semi markov process. Journal of Computational Mathematica, 4(1), 61 - 68. https://doi.org/10.26524/cm67

Abstract

We derive three equivalent sufficient conditions for association in time of a finite state semi Markov process in terms of transition probabilities and crude hazard rates. This result generalizes the earlier results of Esary and Proschan (1970)for a binary Markov process and Hjort, Natvig and Funnemark (1985) for a multistate Markov process.

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