Multivariate Density Estimation: Theory, Practice, and VisualizationClarifies modern data analysis through nonparametric density estimation for a complete working knowledge of the theory and methods Featuring a thoroughly revised presentation, Multivariate Density Estimation: Theory, Practice, and Visualization, Second Edition maintains an intuitive approach to the underlying methodology and supporting theory of density estimation. Including new material and updated research in each chapter, the Second Edition presents additional clarification of theoretical opportunities, new algorithms, and up-to-date coverage of the unique challenges presented in the field of data analysis. The new edition focuses on the various density estimation techniques and methods that can be used in the field of big data. Defining optimal nonparametric estimators, the Second Edition demonstrates the density estimation tools to use when dealing with various multivariate structures in univariate, bivariate, trivariate, and quadrivariate data analysis. Continuing to illustrate the major concepts in the context of the classical histogram, Multivariate Density Estimation: Theory, Practice, and Visualization, Second Edition also features:
Multivariate Density Estimation: Theory, Practice, and Visualization, Second Edition is an ideal reference for theoretical and applied statisticians, practicing engineers, as well as readers interested in the theoretical aspects of nonparametric estimation and the application of these methods to multivariate data. The Second Edition is also useful as a textbook for introductory courses in kernel statistics, smoothing, advanced computational statistics, and general forms of statistical distributions. |
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Contents
CONTENTS ix | 3 |
CONTENTS | 31 |
Theory and Practice | 51 |
5 | 85 |
Frequency Polygons | 100 |
x | 102 |
6 | 137 |
CONTENTS xi | 195 |
The Curse of Dimensionality and Dimension Reduction | 217 |
Nonparametric Regression and Additive Models | 241 |
Other Applications | 267 |
APPENDIX A Computer Graphics in 脫3 | 296 |
CONTENTS xiii | 302 |
267 | 305 |
Notation and Abbreviations | 311 |
334 | |
Other editions - View all
Multivariate Density Estimation: Theory, Practice, and Visualization David W. Scott Limited preview - 2015 |
Multivariate Density Estimation: Theory, Practice, and Visualization David W. Scott Limited preview - 2015 |