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Distribution of survival times in the Fix and Neyman model

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Abstract

In this paper we consider a general illness-death stochastic model in which the transition intensities all vary proportionally to a time function ϕ(t). We extend Chiang's earlier work to include processes which are both reversible and have parameters which are time varying, and obtain survival time distributions and the expectation and variance of survival times.

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Literature

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  • Fix, E. and J. Neyman. 1951. “A Stochastic Model of Recovery, Relapse, Death and Loss of Patients.”Hum. Biol. 23, 205–241.

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Kapadia, A.S., McInnis, B.C. Distribution of survival times in the Fix and Neyman model. Bltn Mathcal Biology 44, 587–591 (1982). https://doi.org/10.1007/BF02459412

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