Nonparametric lack-of-fit testing and consistent variable selection

DOI10.5705/ss.2013.112zbMath1480.62080OpenAlexW2046383637MaRDI QIDQ3195177

Michael G. Akritas, Adriano Zanin Zambom

Publication date: 21 October 2015

Published in: Statistica Sinica (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6b32a8b7558ec20e49774403c60614ba049cc371

zbMATH Keywords

dimension reductionlocal polynomial regressionmodel checkingnonparametric regressionmultiple testingbackward elimination

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Nonparametric hypothesis testing (62G10) Applications of statistics to biology and medical sciences; meta analysis (62P10) General nonlinear regression (62J02) Statistical ranking and selection procedures (62F07) Paired and multiple comparisons; multiple testing (62J15)

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Consistent variable selection for functional regression models ⋮ Selection of the number of clusters in functional data analysis ⋮ Lag selection and model specification testing in nonparametric autoregressive conditional heteroscedastic models ⋮ Functional data clustering via hypothesis testing \(k\)-means ⋮ Testing for local covariate trend effects in volatility models ⋮ Nonparametric significance testing and group variable selection ⋮ Hypothesis testing sure independence screening for nonparametric regression ⋮ A local factor nonparametric test for trend synchronism in multiple time series ⋮ Testing for additivity in nonparametric heteroscedastic regression models ⋮ Test for heteroscedasticity in partially linear regression models

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