On the power-divergence statistic in sparse multinomial models requiring parameter estimation

DOI10.1016/0167-7152(92)90236-XzbMath0742.62025OpenAlexW1990775368MaRDI QIDQ1186029

Ram C. Tiwari, Martin T. Wells

Publication date: 28 June 1992

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(92)90236-x

zbMATH Keywords

nuisance parameterasymptotic normal distributionsequence of local alternativescompletely specified parameterspower-divergence family of goodness-of-fit statisticssparseness assumption

Mathematics Subject Classification ID

Asymptotic properties of parametric tests (62F05)

Cites Work

• On the central limit theorem in \(R^ p\) when p\(\rightarrow \infty\)
• Asymptotic behavior of likelihood methods for exponential families when the number of parameters tends to infinity
• Goodness-of-fit statistics for discrete multivariate data
• Central limit theorems for multinomial sums
• Goodness-of-Fit Tests for Log-Linear Models in Sparse Contingency Tables
• A goodness-of-fit test using Moran's statistic with estimated parameters
• An Empirical Investigation of Goodness-of-Fit Statistics for Sparse Multinomials
• Asymptotic normality and efficiency for certain goodness-of-fit tests
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