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

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

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Article ID: iaor2000268
Country: United States
Volume: 15
Issue: 1
Start Page Number: 55
End Page Number: 63
Publication Date: Mar 1999
Journal: Applied Stochastic Models and Data Analysis
Authors:
Keywords: markov processes
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.

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