Use of an empirical probability generating function for testing a Poisson model

DOI10.2307/3315808zbMath0779.62039OpenAlexW2027547236MaRDI QIDQ4272580

Miguel Nakamura, Victor Perez-Abreu

Publication date: 12 December 1993

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3315808

zbMATH Keywords

count dataPoisson distributiongoodness-of-fit testslimiting distributionsimulation studysmooth testempirical probability generating functionPoisson hypothesis\(V\)-statisticdistribution for countsPoisson index of dispersion

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20)

Related Items (15)

Goodness-of-fit test for count distributions with finite second moment ⋮ Goodness-of-fit tests for the bivariate Poisson distribution ⋮ On goodness-of-fit tests for the Bell distribution ⋮ Bootstrap based goodness of fit tests for the generalized poisson model ⋮ Unnamed Item ⋮ A test of fit for lattice distributions ⋮ Testing for the Poisson-Tweedie distribution ⋮ Empirical probability generating function. An overview ⋮ Estimating parameters for discrete distributions via the empirical probability generating function ⋮ Mean distance test of Poisson distribution ⋮ Probability Generating Function Based Jeffrey's Divergence for Statistical Inference ⋮ Quantifying the ratio-plot for the geometric distribution ⋮ Data driven efficient score tests for Poissonity ⋮ Recent and classical goodness-of-fit tests for the Poisson distribution ⋮ On Charlier polynomials in testing Poissonity

Cites Work

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• A goodness of fit test for the Poisson distribution based on the empirical generating function
• Goodness of fit for the poisson distribution based on the probability generating function
• On the K<scp>OLMOGOROV</scp>‐S<scp>MIRNOV</scp> Test for the P<scp>OISSON</scp> Distribution with Unknown Mean
• Goodness of fit tests for discrete distributions
• Computing the distribution of quadratic forms in normal variables
• On asymptotically optimal tests of composite hypotheses

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