1ST PASSAGE PROBABILITY-DISTRIBUTIONS IN MARKOV-MODELS AND THE HIV INCUBATION DISTRIBUTION UNDER TREATMENT

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.