Location–Scale Depth
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Publication:4651026
DOI10.1198/016214504000001312zbMath1071.62032OpenAlexW2055903135MaRDI QIDQ4651026
Ivan Mizera, Christine H. Müller
Publication date: 21 February 2005
Published in: Journal of the American Statistical Association (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1198/016214504000001312
medianrobust estimationexploratory data analysislocation-scale modeldepth contoursMöbius equivariance
Robustness and adaptive procedures (parametric inference) (62F35) Foundations and philosophical topics in statistics (62A01) Parametric inference (62F99)
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Robust estimators and tests for bivariate copulas based on likelihood depth ⋮ Choosing among notions of multivariate depth statistics ⋮ Depth notions for orthogonal regression ⋮ The zonoid region parameter depth ⋮ Trimmed regions induced by parameters of a probability ⋮ Simple powerful robust tests based on sign depth ⋮ Consistency and robustness of tests and estimators based on depth ⋮ Consistency of the likelihood depth estimator for the correlation coefficient ⋮ New robust tests for the parameters of the Weibull distribution for complete and censored data ⋮ Some intriguing properties of Tukey's half-space depth ⋮ Adaptive Huber Regression ⋮ K-sign depth: from asymptotics to efficient implementation ⋮ Halfspace depths for scatter, concentration and shape matrices ⋮ Tests for multiple regression based on simplicial depth ⋮ Möbius deconvolution on the hyperbolic plane with application to impedance density estimation ⋮ Smooth depth contours characterize the underlying distribution ⋮ On general notions of depth for regression ⋮ Distribution-free tests for polynomial regression based on simplicial depth ⋮ Robust covariance and scatter matrix estimation under Huber's contamination model ⋮ Control charts based on parameter depths ⋮ Simplified simplicial depth for regression and autoregressive growth processes
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