Asymptotic distributions of robust shape matrices and scales
From MaRDI portal
Publication:1021832
DOI10.1016/j.jmva.2008.11.007zbMath1274.62130OpenAlexW2099932292MaRDI QIDQ1021832
Publication date: 9 June 2009
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmva.2008.11.007
local asymptotic normalityshape matrixm-estimatorr-estimatorrobust covariance matrix estimators-estimatorscale-invariant functionTyler's m-estimator
Asymptotic distribution theory in statistics (62E20) Nonparametric robustness (62G35) Measures of association (correlation, canonical correlation, etc.) (62H20)
Related Items (10)
Influence Functions and Efficiencies of k-Step Hettmansperger–Randles Estimators for Multivariate Location and Regression ⋮ On the Optimality of Multivariate S-Estimators ⋮ Asymptotics of the two-stage spatial sign correlation ⋮ On testing the equality of latent roots of scatter matrices under ellipticity ⋮ Semicircle law of Tyler's \(M\)-estimator for scatter ⋮ Robustifying principal component analysis with spatial sign vectors ⋮ The \(k\)-step spatial sign covariance matrix ⋮ A generalization of Tyler's M-estimators to the case of incomplete data ⋮ Inference on the shape of elliptical distributions based on the MCD ⋮ M-estimation with incomplete and dependent multivariate data
Uses Software
Cites Work
- A canonical definition of shape
- On the relation between S-estimators and M-estimators of multivariate location and covariance
- Optimal rank-based tests for homogeneity of scatter
- Optimal tests for homogeneity of covariance, scale, and shape
- A distribution-free M-estimator of multivariate scatter
- Asymptotic behaviour of S-estimates of multivariate location parameters and dispersion matrices
- On the theory of elliptically contoured distributions
- The asymptotics of Rousseeuw's minimum volume ellipsoid estimator
- Robust m-estimators of multivariate location and scatter
- On Tyler's \(M\)-functional of scatter in high dimension
- On the uniqueness of \(S\)-functionals and \(M\)-functionals under nonelliptical distributions.
- Influence function and efficiency of the minimum covariance determinant scatter matrix estimator
- 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
- Symmetrised M-estimators of multivariate scatter
- Multi-tail generalized elliptical distributions for asset returns
- Robustness and efficiency properties of scatter matrices
- Parametric and semiparametric inference for shape: the role of the scale functional
- Statistical analysis for the angular central Gaussian distribution on the sphere
- Radial estimates and the test for sphericity
- Asymptotic Statistics
- A practical affine equivariant multivariate median
- A Simpler, Affine-Invariant, Multivariate, Distribution-Free Sign Test
- On the Breakdown Properties of Some Multivariate M-Functionals*
- Robust Statistics
- Principal Components Analysis Based on Multivariate MM Estimators With Fast and Robust Bootstrap
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Asymptotic distributions of robust shape matrices and scales