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On the AIDS incubation distribution

Author

Listed:
  • Neammanee, K.
  • Pianskool, S.
  • Chonchaiya, R.

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.

Suggested Citation

  • Neammanee, K. & Pianskool, S. & Chonchaiya, R., 2005. "On the AIDS incubation distribution," Statistics & Probability Letters, Elsevier, vol. 73(1), pages 13-23, June.
    • Handle: RePEc:eee:stapro:v:73:y:2005:i:1:p:13-23
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