Selected article for: "binomial distribution and secondary infection"

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:

    Search related documents:
    Co phrase search for related documents
    • binomial distribution and infect individual: 1
    • binomial distribution and Lloyd et al Smith follow: 1
    • binomial distribution and reproductive number: 1, 2, 3, 4
    • binomial distribution and secondary case: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
    • binomial distribution and secondary infection: 1, 2, 3, 4
    • binomial distribution and single infection: 1, 2
    • expected number and infect individual: 1, 2, 3
    • expected number and Lloyd et al Smith follow: 1
    • expected number and reproductive number: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30
    • expected number and secondary case: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
    • expected number and secondary infection: 1, 2, 3, 4, 5, 6, 7
    • expected number and single infection: 1, 2, 3, 4, 5
    • individual reproductive number and reproductive number: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
    • individual reproductive number and secondary case: 1
    • infect individual and reproductive number: 1
    • infect individual and single infection: 1