Robust estimation of parameters in a mixed unbalanced model

DOI10.1214/aos/1032298279zbMath0878.62024OpenAlexW1986828569MaRDI QIDQ1354367

Tadeusz Bednarski, Stefan Zontek

Publication date: 5 January 1998

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

Full work available at URL: https://doi.org/10.1214/aos/1032298279

zbMATH Keywords

robust estimationmixed modelsvon Mises method

Mathematics Subject Classification ID

Point estimation (62F10) Robustness and adaptive procedures (parametric inference) (62F35) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (6)

Uniform asymptotics for robust location estimates when the scale is unknown ⋮ On the convergence of Newton's method when estimating higher dimensional parameters ⋮ Optimal bounded influence regression and scale m-estimators in the context of experimental desing ⋮ Robust estimation in the multivariate normal model with variance components ⋮ A note on the uniform asymptotic normality of location M-estimates ⋮ Applied regression analysis bibliography update 1994-97

Cites Work

• Von Mises calculus for statistical functionals
• Uniqueness and Fréchet differentiability of functional solutions to maximum likelihood type equations
• Nonsmooth analysis and Fréchet differentiability of M-functionals
• Fréchet differentiability, \(p\)-variation and uniform Donsker classes
• Robust asymptotic statistics
• On large deviations of the empiric D.F. of vector chance variables and a law of the iterated logarithm
• Robust Estimation of Variance Components
• Asymptotic behavior of general M-estimates for regression and scale with random carriers
• Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
• ON THE ROBUST ANALYSIS OF VARIANCE COMPONENTS MODELS FOR PEDIGREE DATA
• On the Asymptotic Distribution of Differentiable Statistical Functions
• Robust Statistics
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