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    Modelling Dispersion Using Finite Mixture Of PoissoN

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    Date
    2011
    Author
    Kipchirchir, I. C
    Type
    Article
    Language
    en
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    Abstract
    The negative binomial distribution is a versatile distribution in describing dispersion. The negative binomial parameter k is considered as a dispersion parameter. The aim of this paper is to demonstrate that filnite mixture of Poisson can be used in modelling dispersion. The digamma ." function and the Sterling's expansion for the gamma function are used to construct a dispersion parameter in relation to the negative binomial parameter k. The construction is based on the hierarchical maximum likelihood estimation of the negative binomial parameter k. The method of moments estimates of
    URI
    http://erepository.uonbi.ac.ke:8080/xmlui/handle/123456789/33819
    Citation
    Kipchirchir I. C. Modelling Dispersion Using Finite Mixture Of Poisson. Far East Journal of Mathematical Sciences. (FJMS) Volume 56, Number 2,2011, Pages 161-178
    Publisher
    University of Nairobi
     
    School of Mathematics University of Nairobi
     
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    • Faculty of Science & Technology (FST) [4284]

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