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Titlebook: Robustness and Complex Data Structures; Festschrift in Honou Claudia Becker,Roland Fried,Sonja Kuhnt Book 2013 Springer-Verlag Berlin Heide

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Robustness for Compositional Dataimators need to be affine equivariant in order to obtain invariance of the results from the transformation used. Here, different robust multivariate methods are discussed for compositional data analysis, like principal component and discriminant analysis, and applied to a data set from geochemistry.
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Least Squares Estimation in High Dimensional Sparse Heteroscedastic Modelse statistical inference (such as conservative or consistent model selection). The new estimators are asymptotically (pointwise) as efficient as estimators which are assisted by a model selection oracle. The results are illustrated by means of a small simulation study and the analysis of a data example.
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Book 2013he analysis of data which deviate from classical stringent model assumptions, which contain outlying values and/or have a complex structure. Written for researchers as well as master and PhD students with a good knowledge of statistics.  
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Multivariate Medianf the multivariate medians have been proposed in the literature, and their properties (efficiency, equivariance, robustness, computational convenience, estimation of their accuracy, etc.) have been extensively investigated. The univariate median as well as the univariate concepts of sign and rank ar
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