LEADER 03942nam 2200517 450 001 9910717428603321 005 20230801215713.0 010 $a3-031-22687-9 024 7 $a10.1007/978-3-031-22687-8 035 $a(CKB)5580000000531951 035 $a(DE-He213)978-3-031-22687-8 035 $a(MiAaPQ)EBC7240928 035 $a(Au-PeEL)EBL7240928 035 $a(PPN)269659757 035 $a(EXLCZ)995580000000531951 100 $a20230801d2023 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aRobust and Multivariate Statistical Methods $eFestschrift in Honor of David E. Tyler /$fMengxi Yi and Klaus Nordhausen, editors 205 $aFirst edition. 210 1$aCham, Switzerland :$cSpringer,$d[2023] 210 4$dİ2023 215 $a1 online resource (XVIII, 495 p. 114 illus., 95 illus. in color.) 311 $a3-031-22686-0 320 $aIncludes bibliographical references. 327 $a Part I About David E. Tyler?s Publications -- An Analysis of David E. Tyler?s Publication and Coauthor Network. A Review of Tyler?s Shape Matrix and Its Extensions -- Part II Multivariate Theory and Methods -- On the Asymptotic Behavior of the Leading Eigenvector of Tyler?s Shape Estimator Under Weak Identifiability -- On Minimax Shrinkage Estimation with Variable Selection -- On the Finite-Sample Performance of Measure-Transportation-Based Multivariate Rank Tests -- Refining Invariant Coordinate Selection via Local Projection Pursuit -- Directional Distributions and the Half-Angle Principle -- Part III Robust Theory and Methods -- Power M-Estimators for Location and Scatter -- On Robust Estimators of a Sphericity Measure in High Dimension -- Detecting Outliers in Compositional Data Using Invariant Coordinate Selection -- Robust Forecasting of Multiple Time Series with One-Sided Dynamic Principal Components -- Robust and Sparse Estimation of Graphical Models Based on Multivariate Winsorization -- Robustly Fitting Gaussian Graphical Models?the RPackage robFitConGraph -- Robust Estimation of General Linear Mixed Effects Models -- Asymptotic Behaviour of Penalized Robust Estimators in Logistic Regression When Dimension Increases -- Conditional Distribution-Based Downweighting for Robust Estimation of Logistic Regression Models -- Bias Calibration for Robust Estimation in Small Areas -- The Diverging Definition of Robustness in Statistics and Computer Vision -- Part IV Other Methods -- Power Calculations and Critical Values for Two-Stage Nonparametric Testing Regimes -- Data Nuggets in Supervised Learning -- Improved Convergence Rates of Normal Extremes -- Local Spectral Analysis of Qualitative Sequences via Minimum Description Length. 330 $aThis book presents recent developments in multivariate and robust statistical methods. Featuring contributions by leading experts in the field it covers various topics, including multivariate and high-dimensional methods, time series, graphical models, robust estimation, supervised learning and normal extremes. It will appeal to statistics and data science researchers, PhD students and practitioners who are interested in modern multivariate and robust statistics. The book is dedicated to David E. Tyler on the occasion of his pending retirement and also includes a review contribution on the popular Tyler?s shape matrix. 606 $aMachine learning 606 $aMultivariate analysis 606 $aRobust statistics 615 0$aMachine learning. 615 0$aMultivariate analysis. 615 0$aRobust statistics. 676 $a006.31 702 $aYi$b Mengxi 702 $aNordhausen$b Klaus 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910717428603321 996 $aRobust and Multivariate Statistical Methods$93355630 997 $aUNINA