Maximum Likelihood Estimation of the Negative Binomial Dispersion Parameter for Highly Overdispersed Data, with Applications to Infectious Diseases

The negative binomial distribution is used commonly throughout biology as a model for overdispersed count data, with attention focused on the negative binomial dispersion parameter, k. A substantial literature exists on the estimation of k, but most attention has focused on datasets that are not hig...

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Bibliographic Details
Published in:	PloS one Vol. 2; no. 2; p. e180
Main Author:	Lloyd-Smith, James O.
Format:	Journal Article
Language:	English
Published:	United States Public Library of Science 14.02.2007 Public Library of Science (PLoS)
Subjects:	Accuracy Bias Binomial Distribution Biometrics Communicable diseases Computer Simulation Confidence Intervals Counting Data analysis Data collection Datasets Development and progression Disease Outbreaks Disease transmission Disease Transmission, Infectious - statistics & numerical data Dispersion Ecology/Population Ecology Ecology/Theoretical Ecology Epidemics Epidemiology Humans Infectious Disease Medicine - statistics & numerical data Infectious diseases Likelihood Functions Mathematics/Statistics Maximum likelihood estimates Maximum likelihood estimation Outbreaks Parameter estimation Parasites Population Surveillance Public Health and Epidemiology/Epidemiology Public Health and Epidemiology/Infectious Diseases Sample variance Selection Bias Simulation Studies Surveillance
ISSN:	1932-6203, 1932-6203
Online Access:	Get full text
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