Author: de Silva, Eric; Ferguson, Neil M.; Fraser, Christophe
Title: Inferring pandemic growth rates from sequence data Document date: 2012_8_7
ID: 1piyoafd_17
Snippet: Following on from Lloyd-Smith et al. [19] and Grassly & Fraser [20] , we introduce the individual reproductive number, n, which is the expected number of secondary cases caused by a specific infected individual. If n is gamma-distributed having a mean R and dispersion parameter k, then the number of secondary infections caused by each infected individual is Poisson distributed with mean n, and thus overall the number of secondary infections gener.....
Document: Following on from Lloyd-Smith et al. [19] and Grassly & Fraser [20] , we introduce the individual reproductive number, n, which is the expected number of secondary cases caused by a specific infected individual. If n is gamma-distributed having a mean R and dispersion parameter k, then the number of secondary infections caused by each infected individual is Poisson distributed with mean n, and thus overall the number of secondary infections generated by a single infection is given by a negative binomial offspring distribution. The probability p(m) of obtaining m from a negative binomial distribution with parameters p and k is given by:
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