Article ID Journal Published Year Pages File Type
10525890 Statistics & Probability Letters 2005 11 Pages PDF
Abstract
This paper derives the distribution of the AIDS incubation period, by considering two models which are more complicated than the ones usually studied. Model 1 is a multistate Markovian model with probabilities of moving back and forth from one state to the next, with the possible onset of AIDS at any stage. Model 2, of a similar kind, has an added state B for the onset of AIDS-related illnesses, which may also lead to AIDS. There follows a good deal of matrix algebra, ending with distributions of the AIDS incubation period which are (different) weighted sums of Gamma distributions for both Models.
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Physical Sciences and Engineering Mathematics Statistics and Probability
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