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2010•NOVA (University of Newcastle Australia)Open access

Moment Tests of Fit for Some Discrete Distributions with Ecological Applications

D. J. Best, John C. W. Rayner, Olivier Thas

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Abstract

We present moment orientated tests of fit for some discrete distributions used in ecological applications. The distributions covered are the Poisson, negative binomial, zero-truncated Poisson, logarithmic, zero-inflated Poisson, binomial, beta-binomial, geometric, Neyman Type A and the bivariate Poisson. Each distribution is illustrated by reference to ecological data. The tests of fit we give are often more powerful than traditional chi-squared tests.

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We present moment orientated tests of fit for some discrete distributions used in ecological applications. The distributions covered are the Poisson, negative binomial, zero-truncated Poisson, logarithmic, zero-inflated Poisson, binomial, beta-binomial, geometric, Neyman Type A and the bivariate Poisson. Each distribution is illustrated by reference to ecological data. The tests of fit we give are often more powerful than traditional chi-squared tests.

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Available abstract

We present moment orientated tests of fit for some discrete distributions used in ecological applications. The distributions covered are the Poisson, negative binomial, zero-truncated Poisson, logarithmic, zero-inflated Poisson, binomial, beta-binomial, geometric, Neyman Type A and the bivariate Poisson. Each distribution is illustrated by reference to ecological data. The tests of fit we give are often more powerful than traditional chi-squared tests.

Key concepts: Poisson distribution, Negative binomial distribution, Poisson binomial distribution, Zero-inflated model, Mathematics, Bivariate analysis, Logarithmic distribution, Count data

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