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Counting transitions—entrance probabilities in non‐homogeneous semi‐Markov systems

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  • A. A. Papadopoulou

Abstract

In the present paper, the concept of the number of transitions in a non‐homogeneous semi‐Markov system is introduced. Then the problem of finding the equations that describe the expected population structure, in relation with the number of transitions, is studied. Also, the entrance probabilities of the system are defined and their limit is provided, under certain conditions. © 1998 John Wiley & sons, Ltd.

Suggested Citation

  • A. A. Papadopoulou, 1997. "Counting transitions—entrance probabilities in non‐homogeneous semi‐Markov systems," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 13(3‐4), pages 199-206, September.
    • Handle: RePEc:wly:apsmda:v:13:y:1997:i:3-4:p:199-206
    DOI: 10.1002/(SICI)1099-0747(199709/12)13:3/43.0.CO;2-2
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    File URL: https://doi.org/10.1002/(SICI)1099-0747(199709/12)13:3/43.0.CO;2-2
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    Cited by:

    1. Aleka Papadopoulou & George Tsaklidis, 2007. "Some Reward Paths in Semi-Markov Models with Stochastic Selection of the Transition Probabilities," Methodology and Computing in Applied Probability, Springer, vol. 9(3), pages 399-411, September.

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