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Multivariate density estimation : theory, practice, and visualization / David W. Scott.

By: Material type: TextTextSeries: Wiley series in probability and statisticsPublication details: New Jersey : John Wiley, 2015.Edition: 2nd edDescription: xviii, 350 p. : illustrations ; 25 cmISBN:
  • 9780471697558 (hardcover)
Subject(s): DDC classification:
  • 000SA.09 23 Sc425
Contents:
1. Representation and geometry of multivariate data -- 2. Nonparametric estimation criteria -- 3. Histograms: theory and practice -- 4. Frequency polygons -- 5. Averages shifted histograms -- 6. Kernel density estimators -- 7. The curse of dimensionality and dimension reduction -- 8. Nonparametric regression and additive models -- 9. Other applications -- Appendices -- References -- Author index -- Subject index.
Summary: 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.
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Includes bibliographical references and indexes.

1. Representation and geometry of multivariate data --
2. Nonparametric estimation criteria --
3. Histograms: theory and practice --
4. Frequency polygons --
5. Averages shifted histograms --
6. Kernel density estimators --
7. The curse of dimensionality and dimension reduction --
8. Nonparametric regression and additive models --
9. Other applications --
Appendices --
References --
Author index --
Subject index.

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.

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