Multivariate Statistics

This book presents the tools and concepts of multivariate data analysis. It demonstrates the application of simple calculus and basic multivariate methods in real life situations, and features more than 200 solved exercises.

The authors present tools and concepts of multivariate data analysis by means of exercises and their solutions. The first part is devoted to graphical techniques. The second part deals with multivariate random variables and presents the derivation of estimators and tests for various practical situations. The last part introduces a wide variety of exercises in applied multivariate data analysis. The book demonstrates the application of simple calculus and basic multivariate methods in real life situations. It contains altogether more than 250 solved exercises which can assist a university teacher in setting up a modern multivariate analysis course. All computer-based exercises are available in the R language. All data sets are included in the library SMSdata that may be downloaded via the quantlet download center www.quantlet.org. Data sets are available also via the Springer webpage. For interactive display of low-dimensional projections of a multivariate data set, we recommend GGobi.

Goes further than most similar textbooks by considering SIR techniques that are not found typically in multivariate textbooks Data sets discussed in the book can be downloaded and analyzed by every statistical package Contains hundreds of solved exercises

Autorentext

Wolfgang Karl Härdle is the Ladislaus von Bortkiewicz Professor of Statistics at the Humboldt-Universität zu Berlin and director of C.A.S.E. (Center for Applied Statistics and Economics), director of the CRC-649 (Collaborative Research Center) Economic Risk and director of the IRTG 1792 High Dimensional Non-stationary Time Series. He teaches quantitative finance and semi-parametric statistics. His research focuses on dynamic factor models, multivariate statistics in finance and computational statistics. He is an elected member of the ISI (International Statistical Institute) and advisor to the Guanghua School of Management, Peking University, and senior fellow of Sim Kee Boon Institute of Financial Economics at the Singapore Management University.

Zdenek Hlávka studied mathematics at the Charles University in Prague and biostatistics at Limburgs Universitair Centrum in Diepenbeek. Later he held a position at Humboldt-Universität zu Berlin before he became amember of the Department of Probability and Mathematical Statistics at Charles University in Prague.

Inhalt

Part I Descriptive Techniques: Comparison of Batches.- Part II Multivariate Random Variables: A Short Excursion into Matrix Algebra.- Moving to Higher.- Multivariate.- Theory of the Multinormal.- Theory of Estimation.- Part III Multivariate Techniques: Regression Models.- Variable Selection.- Decomposition of Data Matrices by Factors.- Principal Component Analysis.- Factor Analysis.- Cluster Analysis.- Discriminant Analysis.- Correspondence Analysis.- Canonical Correlation Analysis.- Multidimensional Scaling.- Conjoint Measurement Analysis.- Applications in Finance.- Highly Interactive, Computationally Intensive Techniques.- Data Sets.- References.- Index.