Maximum likelihood fitting of the Poisson lognormal distribution |
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| Authors: | Rudolf Izsák |
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| Institution: | 1.Department of Atomic Physics,E?tv?s University,Budapest,Hungary |
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| Abstract: | In this paper some properties and analytic expressions regarding the Poisson lognormal distribution such as moments, maximum
likelihood function and related derivatives are discussed. The author provides a sharp approximation of the integrals related
to the Poisson lognormal probabilities and analyzes the choice of the initial values in the fitting procedure. Based on these
he describes a new procedure for carrying out the maximum likelihood fitting of the truncated Poisson lognormal distribution.
The method and results are illustrated on real data. The computer program for calculations is freely available.
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| Keywords: | Butterflies Computer program Momentum estimates Parameter estimation Species abundance models |
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