Robust estimation for circular data

DOI10.1016/j.csda.2006.11.002zbMath1445.62054OpenAlexW2030299496MaRDI QIDQ1020687

Claudio Agostinelli

Publication date: 2 June 2009

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2006.11.002

zbMATH Keywords

kernel density estimationrobust estimationcircular dataweighted likelihooddisparity measuresoutliers in circular dataresidual adjustment function

Mathematics Subject Classification ID

Robustness and adaptive procedures (parametric inference) (62F35)

Related Items

Robust estimation for multivariate wrapped models, Density Estimation in RKHS with Application to Korobov Spaces in High Dimensions, Minimum distance method for directional data and outlier detection, Trimmed estimator for circular–circular regression: breakdown properties and an exact algorithm for computation, Robust nonparametric regression on Riemannian manifolds, Recent advances in directional statistics, On the efficiency of some rank-based test for the homogeneity of concentrations, Influence diagnostics in possibly asymmetric circular-linear multivariate regression models, An impartial trimming algorithm for robust circle fitting, Finite Mixtures of Multivariate Wrapped Normal Distributions for Model Based Clustering of p -Torus Data, Robustness of interpretable components in relation to the effect of outliers using measures and circular distances, SB-Robustness of Estimators, Statistical inference based on a new weighted likelihood approach, Estimation of parameters in multivariate wrapped models for data on a \(p\)-torus, DATA-DRIVEN SMOOTH TESTS AND A DIAGNOSTIC TOOL FOR LACK-OF-FIT FOR CIRCULAR DATA, wle, Area-Proportional Visualization for Circular Data, Automatic bandwidth selection for circular density estimation, On a family of two-piece circular distributions, Robustness of tests for directional mean, Robust estimation of location and concentration parameters for the von Mises-Fisher distribution

Uses Software

• CircStats
• circular

Cites Work

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• Kernel estimators of density function of directional data
• Kernel density estimation with spherical data
• Notes on Pearson residuals and weighted likelihood estimating equations
• Robustness of estimators for directional data
• Robust direction estimation
• Robust estimation of the concentration parameter of the von Mises-Fisher distribution
• Efficiency versus robustness: The case for minimum Hellinger distance and related methods
• The residual adjustment function and weighted likelihood: a graphical interpretation of robustness of minimum disparity estimators.
• The ``automatic robustness of minimum distance functionals
• Topics in Circular Statistics
• Outliers in Circular Data
• Weighted Likelihood Equations with Bootstrap Root Search