The asymptotic final size distribution of reducible multitype Reed-Frost processes |
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| Authors: | Gianpaolo Scalia-Tomba |
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| Affiliation: | (1) Laboratoire de Statistique Appliquée U.A. CNRS 743, Université de Paris-Sud, F-91405 Orsay Cedex, France;(2) Present address: Dept. of Mathematical Statistics, Stockholm University, Box 6701, S-113 85 Stockholm, Sweden |
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| Abstract: | The asymptotic final size distribution of a multitype Reed-Frost process, a chain-binomial model for the spread of infection in a finite, closed multitype population, is derived in the case of reducible contact pattern between types. The results are obtained using techniques developed for the irreducible case. |
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| Keywords: | Chain-binomial process Final epidemic size Asymptotic distribution Multitype epidemic model Reducible contact structure |
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