Multivariate Density Estimation: Theory, Practice, and Visualization

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John Wiley & Sons, Apr 6, 2015 - Mathematics - 416 pages
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Written to convey an intuitive feeling for both theory and practice, this book illustrates what a powerful tool density estimation can be when used not only with univariate and bivariate data but also in the higher dimensions of trivariate and quadrivariate information. Major concepts are presented in the context of a histogram in order to simplify the treatment of advanced estimators. The text features numerous graphics, problems and solutions, and references to online four-color illustrations. Theoretical statisticians and practicing engineers won't want to miss this.
 

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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
AUTHOR INDEX
334

xii
198

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About the author (2015)

David W. Scott, PhD, is Noah Harding Professor in theDepartment of Statistics at Rice University. The author of over 100published articles, papers, and book chapters, Dr. Scott is alsoFellow of the American Statistical Association (ASA) and theInstitute of Mathematical Statistics. He is recipient of the ASAFounder's Award and the Army Wilks Award. His researchinterests include computational statistics, data visualization, anddensity estimation. Dr. Scott is also Coeditor of WileyInterdisciplinary Reviews: Computational Statistics andprevious Editor of the Journal of Computational and GraphicalStatistics.

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