This Festschrift in honour of Ursula Gathers 60th birthday deals with modern topics in the field of robust statistical methods, especially for time series and regression analysis, and with statistical methods for complex data structures. The individual contributions of leading experts provide a textbook-style overview of the topic, supplemented by current research results and questions. The statistical theory and methods in this volume aim at the 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. ?Presented in honor of Ursula Gathers 60th birthday this book deals with modern topics in the field of robust statistical methods, especially for time series and regression analysis, and with statistical methods for complex data structures.Part I Univariate and Multivariate Robust Methods: Multivariate Median (Hannu Oja).- Depth Statistics (Karl Mosler).- Multivariate Extremes:?A Conditional Quantile Approach (Marie-Fran?oise Barme-Delcroix).- High-Breakdown Estimators of Multivariate Location and Scatter (Peter Rousseeuw and Mia Hubert).- Upper and Lower Bounds for Breakdown Points (Christine H. M?ller).- The Concept of ?-outliers in Structured Data Situations (Sonja Kuhnt and Andr? Rehage).- Multivariate OutlierIidentification Based on Robust Estimators of Location and Scatter (Claudia Becker, Steffen Liebscher and Thomas Kirschstein).- Robustness for Compositional Data (Peter Filzmoser and Karel Hron).- Part II Regression and Time Series Analysis:? Least Squares Estimation in High Dimensional Sparse Heteroscedastic Models (Holger Dette and Jens Wagener).- Bayesian Smoothing, Shrinkage and Variable Selection in Hazard Regression (Susanne Konrath, Ludwig Fahrmeir and Thomas Kneib).- Robust Change Point Analysis (Mal“)