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Multivariate Density Estimation: Theory, Practice, and Visualization

Multivariate Density Estimation: Theory, Practice, and Visualization

David W. Scott

ISBN: 978-0-470-31768-6

Sep 2009

336 pages

Product not available for purchase

Description

Written to convey an intuitive feel for both theory and practice, its main objective is to illustrate 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. Features 12 four-color plates, numerous graphic illustrations as well as a multitude of problems and solutions.
Representation and Geometry of Multivariate Data.

Nonparametric Estimation Criteria.

Histograms: Theory and Practice.

Frequency Polygons.

Averaged Shifted Histograms.

Kernel Density Estimators.

The Curse of Dimensionality and Dimension Reduction.

Nonparametric Regression and Additive Models.

Special Topics.

Appendices.

Indexes.