Inference in components of variance models with low replication

DOI10.1214/aos/1051027875zbMath1039.62065OpenAlexW2012386606MaRDI QIDQ1429311

Qiwei Yao, Hall, Peter

Publication date: 18 May 2004

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

Full work available at URL: https://doi.org/10.1214/aos/1051027875

zbMATH Keywords

characteristic functionrandom effectsdeconvolutioncurve estimationanalysis of variancehierarchical modelscomponents of variabilitystandarization trials

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Density estimation (62G07) Approximations to statistical distributions (nonasymptotic) (62E17) Analysis of variance and covariance (ANOVA) (62J10)

Related Items

Deconvolution with unknown error distribution, Nonparametric estimation for Lévy processes from low-frequency observations, Goodness-of-fit tests in mixed models, Robust estimation of mean squared prediction error in small‐area estimation, Efficient estimation of moments in linear mixed models, Deconvolution from panel data with unknown error distribution, Empirical Bayes Mean Estimation With Nonparametric Errors Via Order Statistic Regression on Replicated Data, Adaptive circular deconvolution by model selection under unknown error distribution, Density deconvolution in a two-level heteroscedastic model with unknown error density, Specification tests in mixed effects models, The limiting distribution of theF-statistic from nonnormal universes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the optimal rates of convergence for nonparametric deconvolution problems
• Efficient estimation in the errors in variables model
• On estimating the slope of a straight line when both variables are subject to error
• On nonparametric estimation of intercept and slope distributions in random coefficient regression
• Smoothing parameter selection for smooth distribution functions
• Estimating structural and functional relationships
• Average Values of Mean Squares in Factorials
• Variance Components Analysis: A Selective Literature Survey
• A second bibliography on variance components
• Optimal Rates of Convergence for Deconvolving a Density
• Fixed and Mixed Models in the Analysis of Variance
• Bandwith selection for the smoothing of distribution functions
• Estimation in a simple random effects model with nonnormal distributions
• Identifiability of a Linear Relation between Variables Which Are Subject to Error
• Existence of Consistent Estimates of the Directional Parameter in a Linear Structural Relation Between Two Varibles