The SymmetricM-Dimensional Simple Epidemic Process
L. Billard, H. Lacayo, Naftali A. Langberg
Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1979 · Volume 41 · Issue 2
DOI: 10.1111/j.2517-6161.1979.tb01073.x
Abstract
In the classical simple epidemic process (Bailey, 1975), only one disease is involved. In this work, the model is generalized to the case in which susceptibles are simultaneously exposed tom, m≥ 1, diseases. An individual once infected by a particular disease remains infected and is immune to further infection from another disease. The process is called anm-dimensional simple epidemic process. The limiting finite-dimensional joint state probabilities and the marginal probabilities associated with each disease are obtained.
Keywords
symmetric process, limiting finite-dimensional joint state probabilities, limiting marginal probabilities, negative binomial random distribution
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