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The poisson-inverse gaussian disiribuiion as a model for species abundance
Authors:J. Keith Ord  G. Alex Whitmore
Affiliation:1. Division of Management Science , Pennsylvania State University University Park , Pennsylvania, 16802;2. Faculty of Management , McGill University , Montreal, Canada, H3A 1G5
Abstract:
An inverse Gaussian mixture of Poisson distributions(the P-IG distribution) is considered as a model for species abundance data,, Minimum chi-square and maximum likelihood methods of estimation for the zero-truncated P-IG distribution are developed, Ihe performance of the P-IG distribution is illustrated and discussed for several well-known sets of insect abundance data.
Keywords:Poisson  inverse Gaussian  mixture distribution  species abundance  maximum likelihood  minimum ohi-squars
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