A class of count models and a new consistent test for the Poisson distribution

DOI10.1016/j.jspi.2007.12.011zbMath1146.62324OpenAlexW2090226612MaRDI QIDQ951028

B. E. Eshmatov

Publication date: 29 October 2008

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2007.12.011

zbMATH Keywords

goodness-of-fit testcount distributionStein's identityempirical probability generating function

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20)

Related Items (8)

Goodness-of-fit test for count distributions with finite second moment ⋮ Change Detection in INARCH Time Series of Counts ⋮ Testing convexity of a discrete distribution ⋮ Validation tests for the innovation distribution in INAR time series models ⋮ COM-negative binomial distribution: modeling overdispersion and ultrahigh zero-inflated count data ⋮ Toward the history of the St. Petersburg school of probability and statistics. IV: Characterization of distributions and limit theorems in statistics ⋮ Data driven efficient score tests for Poissonity ⋮ On Charlier polynomials in testing Poissonity

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