Generalized chi-square goodness-of-fit tests for location-scale models when the number of classes tends to infinity

DOI10.1214/AOS/1176347269zbMath0683.62011OpenAlexW2070117608MaRDI QIDQ1824959

Feike C. Drost

Publication date: 1989

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176347269

zbMATH Keywords

local alternativesnull hypothesisnumber of classescontamination families of densitiesDzhaparidze-Nikulin statisticsgeneralized chi-square goodness-of-fit testsincreasingly finer partitionslocation-scale nuisance parametersRao- Robson-Nikulin test statisticWatson-Roy

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of parametric tests (62F05)

Related Items (6)

THE CHOICE OF CELLS IN CHI–SQUARE TESTS ⋮ Discrete convolution statistic for hypothesis testing ⋮ Chi-square goodness-of-fit test for one- and multidimensional discrete distributions ⋮ On the computation of chi-square-type statistics ⋮ Statistical inference of minimum BD estimators and classifiers for varying-dimensional models ⋮ On Efficient Estimation in Continuous Models Based on Finitely Quantized Observations

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