Testing for additivity of a regression function
DOI10.1214/aos/1176349024zbMath0771.62033OpenAlexW2086567131MaRDI QIDQ2366737
Publication date: 20 September 1993
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aos/1176349024
simulationlikelihood ratio testmaximum likelihoodnonparametric regressionBrownian motionsconstant varianceasymptotic null distributionnonstandard likelihood asymptoticsfinite sample size behaviourindependent normalsratio of Brownian sheet variance to error variancetest for departures from additivitytests for additivity
Nonparametric hypothesis testing (62G10) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Asymptotic distribution theory in statistics (62E20)
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