Limit theorems for multitype epidemics
By means of the law of large numbers and the central limit theorem, we compare the spatial epidemic model proposed by Kendall with a sequence of multitype epidemics, viewed as Hilbert space-valued stochastic processes. In the limit, the fluctuation process turns out to be an infinite-dimensional Ornstein-Uhlenbeck process.
Year of publication: |
1995
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Authors: | Andersson, Håkan ; Djehiche, Boualem |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 56.1995, 1, p. 57-75
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Publisher: |
Elsevier |
Keywords: | Epidemic process Law of large numbers Central limit theorem Ornstein-Uhlenbeck process |
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