First passage probability distributions in Markov models and the HIV incubation distribution under treatment |
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Institution: | Department of Mathematical Sciences, Memphis State University Memphis, TN 38152, U.S.A. |
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Abstract: | In this paper, I derive some first passage probability distributions for some continuous time Markov chains. By using these results, I then derive some exact HIV incubation distributions under treatment by anti-viral drugs such as AZT under some general conditions. It is shown that under some special conditions, these distributions are mixtures of generalized Gamma distributions. |
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