Maximum likelihood fitting of the Poisson lognormal distribution

被引：24

作者：

Izsak, Rudolf ^{[1
]}

机构：

[1] Eotvos Lorand Univ, Dept Atom Phys, H-1117 Budapest, Hungary

来源：

ENVIRONMENTAL AND ECOLOGICAL STATISTICS | 2008年 / 15卷 / 02期

关键词：

butterflies; computer program; momentum estimates; parameter estimation; species abundance models;

D O I：

10.1007/s10651-007-0044-x

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

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.

引用

页码：143 / 156

页数：14

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