On Charlier polynomials in testing Poissonity

DOI10.1080/03610918.2015.1019000zbMath1364.62047OpenAlexW2478891927MaRDI QIDQ5267886

Grzegorz Wyłupek, Teresa Ledwina

Publication date: 13 June 2017

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2015.1019000

zbMATH Keywords

Poisson distributiongoodness of fitparametric bootstrapdiagnostic testsmooth testselection rulepower comparisonFisher's index of dispersion

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03)

Related Items (2)

Characterizations of non-normalized discrete probability distributions and their application in statistics ⋮ Data driven efficient score tests for Poissonity

Cites Work

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• A class of count models and a new consistent test for the Poisson distribution
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• Rao score tests for goodness of fit and independence
• Use of an empirical probability generating function for testing a Poisson model
• Empirical‐distribution‐function goodness‐of‐fit tests for discrete models
• Smooth Goodness-of-Fit Specification Tests Under the Lagrange Multiplier Principle
• Univariate Discrete Distributions
• On the Charlier Type B Series
• Goodness-of-fit tests for discrete models based on the integrated distribution function.

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