Partially observed branching processes for stochastic epidemics |
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Authors: | Victor M Panaretos |
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Institution: | (1) Department of Statistics, University of California - Berkeley, 367 Evans Hall, Berkeley, CA 94720, USA |
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Abstract: | At the offset of a (stochastic) epidemic, it is of importance to have a mathematical model that will assist in the making
of an informed judgement on whether the epidemic will explode, or will be minor and die out. In this paper, we consider probabilistic inferences related to the event of extinction of a discrete time branching process
when this cannot be directly observed. Instead, we are able to observe only a random “trace” of the process, which not only
trails the latter, but also directly affects it (in terms of interventions). A simple model is proposed that provides tractability,
preserves a marginal branching property, and gives reasonable closed form expressions.
Part of this work was done while the author was an academic visitor at the Department of Statistics, University of Oxford. |
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Keywords: | Partial observation Extinction/explosion Joint Markov property Conditional inference Family name problem |
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