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Stochastic processes with an embedded point process and their application to system reliability analysis

In: Semi-Markov Models

Author

Listed:
  • Peter Franken

    (Humboldt-Universität zu Berlin)

  • Arnfried Streller

    (Humboldt-Universität zu Berlin)

Abstract

In applied probability it is fairly familiar to investigate the temporal behaviour of a certain system considered by means of some appropriately chosen (in general random) embedded epochs. This is the idea of the famous method of an embedded Markov chain due to A.Ya. Khinchin and D.G. Kendall. Furthermore, several well-known classes of stochastic processes such as regenerative, semi-Markov and semi-regenerative processes are bases on the concept of embedded points.

Suggested Citation

  • Peter Franken & Arnfried Streller, 1986. "Stochastic processes with an embedded point process and their application to system reliability analysis," Springer Books, in: Jacques Janssen (ed.), Semi-Markov Models, pages 253-279, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-0574-1_14
    DOI: 10.1007/978-1-4899-0574-1_14
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