Semiparametrically efficient rank-based inference for shape. II: Optimal \(R\)-estimation of shape
From MaRDI portal
Publication:2373578
DOI10.1214/009053606000000948zbMath1115.62059arXiv0708.0079OpenAlexW2142582388MaRDI QIDQ2373578
Davy Paindaveine, Marc Hallin, Hannu Oja
Publication date: 12 July 2007
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.0079
local asymptotic normalitysemiparametric efficiencyaffine equivarianceone-step estimationelliptical densitiesmultivariate ranks and signsshape matrix
Nonparametric hypothesis testing (62G10) Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05)
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Cites Work
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- Affine-invariant aligned rank tests for the multivariate general linear model with VARMA errors
- On the estimation of quadratic functionals
- A Chernoff-Savage result for shape: On the non-admissibility of pseudo-Gaussian methods
- Asymptotic methods in statistical decision theory
- A distribution-free M-estimator of multivariate scatter
- A linearized version of the Hodges-Lehmann estimator
- The affine equivariant sign covariance matrix: Asymptotic behavior and efficiencies.
- Asymptotics of reweighted estimators of multivariate location and scatter
- Rank based robust analysis of linear models. I: Exposition and review. With comments and a rejoinder by the author
- Weighted empirical processes in dynamic nonlinear models.
- Semi-parametric efficiency, distribution-freeness and invariance
- On adaptive estimation in stationary ARMA processes
- Optimal tests for multivariate location based on interdirections and pseudo-Mahalanobis ranks.
- Optimal procedures based on interdirections and pseudo-Mahalanobis ranks for testing multivariate elliptic white noise against ARMA dependence
- Semiparametrically efficient rank-based inference for shape. I: optimal rank-based tests for sphericity
- Semiparametrically efficient rank-based inference for shape. II: Optimal \(R\)-estimation of shape
- Rank-based optimal tests of the adequacy of an elliptic VARMA model
- Serial and nonserial sign-and-rank statistics: Asymptotic representation and asymptotic nor\-mal\-ity
- Robustness and efficiency properties of scatter matrices
- Parametric and semiparametric inference for shape: the role of the scale functional
- Asymptotic distributions in canonical correlation analysis and other multivariate procedures for nonnormal populations
- On estimation of a class of efficacy-related parameters
- Radial estimates and the test for sphericity
- Estimating Regression Coefficients by Minimizing the Dispersion of the Residuals
- A practical affine equivariant multivariate median
- A Simpler, Affine-Invariant, Multivariate, Distribution-Free Sign Test
- Estimates of Regression Coefficients Based on the Sign Covariance Matrix
- Nonparametric Confidence Intervals for a Shift Parameter
- Estimates of Regression Parameters Based on Rank Tests
- On a Distribution-free Method of Estimating Asymptotic Efficiency of a Class of Non-parametric Tests
- Asymptotic Linearity of a Rank Statistic in Regression Parameter
- Estimates of Location Based on Rank Tests
- Asymptotic Behavior of a Class of Confidence Regions Based on Ranks in Regression
- Nonparametric Estimate of Regression Coefficients
- The distribution of a statistic used for testing sphericity of normal distributions
- Linearized Rank Estimates and Signed-Rank Estimates for the General Linear Hypothesis
- Significance Test for Sphericity of a Normal $n$-Variate Distribution