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Some illustrative applications of semi-Markov processes in biostatistics, demography, and queuing theory are discussed. Algorithms for implementing such processes on a computer are also described, with suggestions for statistical inference based on models constructed from renewal theory and semi-Markov processes. An illustrative numerical example, based on a simple illness-death process of Fix and Neyman, is also provided.
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Mode et al. (1988) studied this question.
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