Applied Multivariate Statistical Analysis

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Focusing on high-dimensional applications, this 4th edition presents the tools and concepts used in multivariate data analysis in a style that is also accessible for non-mathematicians and practitioners. It surveys the basic principles and emphasizes both exploratory and inferential statistics; a new chapter on Variable Selection (Lasso, SCAD and Elastic Net) has also been added. All chapters include practical exercises that highlight applications in different multivariate data analysis fields: in quantitative financial studies, where the joint dynamics of assets are observed; in medicine, where recorded observations of subjects in different locations form the basis for reliable diagnoses and medication; and in quantitative marketing, where consumers’ preferences are collected in order to construct models of consumer behavior. All of these examples involve high to ultra-high dimensions and represent a number of major fields in big data analysis.

The fourth edition of this book on Applied Multivariate Statistical Analysis offers the following new features:

A new chapter on Variable Selection (Lasso, SCAD and Elastic Net)

All exercises are supplemented by R and MATLAB code that can be found on www.quantlet.de.

The practical exercises include solutions that can be found in Härdle, W. and Hlavka, Z., Multivariate Statistics: Exercises and Solutions. Springer Verlag, Heidelberg.

Author(s): Wolfgang Karl Härdle, Léopold Simar (auth.)
Edition: 4
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2015

Language: English
Pages: 580
Tags: Statistics for Business/Economics/Mathematical Finance/Insurance; Quantitative Finance; Economic Theory; Statistical Theory and Methods

Front Matter....Pages i-xiii
Front Matter....Pages 1-1
Comparison of Batches....Pages 3-50
Front Matter....Pages 51-51
A Short Excursion into Matrix Algebra....Pages 53-77
Moving to Higher Dimensions....Pages 79-115
Multivariate Distributions....Pages 117-181
Theory of the Multinormal....Pages 183-199
Theory of Estimation....Pages 201-211
Hypothesis Testing....Pages 213-249
Front Matter....Pages 251-251
Regression Models....Pages 253-280
Variable Selection....Pages 281-304
Decomposition of Data Matrices by Factors....Pages 305-318
Principal Components Analysis....Pages 319-358
Factor Analysis....Pages 359-384
Cluster Analysis....Pages 385-405
Discriminant Analysis....Pages 407-424
Correspondence Analysis....Pages 425-442
Canonical Correlation Analysis....Pages 443-454
Multidimensional Scaling....Pages 455-472
Conjoint Measurement Analysis....Pages 473-486
Applications in Finance....Pages 487-499
Computationally Intensive Techniques....Pages 501-554
Front Matter....Pages 555-555
Symbols and Notations....Pages 557-560
Data....Pages 561-571
Back Matter....Pages 573-580