The steady-state probabilities for regenerative semi-Markov processes with application to prevention and screening

Authors

  • Ori Davidov

    Corresponding author
    1. Biostatistics Program, Fred Hutchinson Cancer Research Center, 1100 Fairview Avenue North, MPE-665, Seattle, WA 98109, U.S.A.
    • Biostatistics Program, Fred Hutchinson Cancer Research Centre, 1100 Fairview Avenue North, MPE-665, Seattle, WA 98109, U.S.A.
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Abstract

There is a growing interest in planning and implementing broad-scale clinical trials with a focus on prevention and screening. Often, the data-generating mechanism for such experiments can be viewed as a semi-Markov process. In this communication, we develop general expressions for the steady-state probabilities for regenerative semi-Markov processes. Hence, the probability of being in a certain state at the time of recruitment to a clinical trial can be calculated. An application to breast cancer prevention is demonstrated. Copyright © 1999 John Wiley & Sons, Ltd.

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