Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-21770
Barbour, A D; Utev, S (2004). Approximating the Reed-Frost epidemic process. Stochastic Processes and their Applications, 113(2):173-197.
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The paper is concerned with refining two well-known approximations to the Reed–Frost epidemic process. The first is the branching process approximation in the early stages of the epidemic; we extend its range of validity, and sharpen the estimates of the error incurred. The second is the normal approximation to the distribution of the final size of a large epidemic, which we complement with a detailed local limit approximation. The latter, in particular, is relevant if the approximations are to be used for statistical inference.
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|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Dewey Decimal Classification:||510 Mathematics|
|Deposited On:||04 Nov 2009 15:49|
|Last Modified:||05 Apr 2016 13:24|
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