The AIDs incubation distribution function

Abstract

In this work, we derive the distribution functions of the AIDS incubation period, by considering two models which are more complicated than the ones usually studied. Model 1 is a Markovian model with probabilities of moving back and forth from one state to the next, with the possible onset of AIDS at any stages. Model 2, of a similar kind, has an added state before AIDS state. This follows a good deal of matrix algebra, ending with distribution function of the AIDS incubation period which are (different) weighted sums of Gamma distribution function for both models.