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Multivariate Density Estimation: Theory, Practice, and Visualization Hardcover – August 1, 1992

ISBN-13: 978-0471547709 ISBN-10: 0471547700 Edition: 1st

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Frequently Bought Together

Multivariate Density Estimation: Theory, Practice, and Visualization + Density Estimation for Statistics and Data Analysis + Kernel Smoothing (Chapman & Hall/CRC Monographs on Statistics & Applied Probability)
Price for all three: $347.00

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Editorial Reviews

From the Publisher

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.
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Product Details

  • Hardcover: 317 pages
  • Publisher: Wiley; 1st edition (August 1, 1992)
  • Language: English
  • ISBN-10: 0471547700
  • ISBN-13: 978-0471547709
  • Product Dimensions: 6.3 x 0.8 x 9.4 inches
  • Shipping Weight: 1.5 pounds (View shipping rates and policies)
  • Average Customer Review: 4.8 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #2,621,629 in Books (See Top 100 in Books)

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34 of 34 people found the following review helpful By Michael R. Chernick on May 19, 2008
Format: Hardcover
There are a number of good books dealing with univariate density estimates. Some are very theoretical and some are very practical. My favorite is the one by Silverman because it provides intuition for the kernel density estimation methods and gets to the key point. David Scott has produced a volume that is somewhat longer than Silverman's and is the only book I have found for estimating multivariate densities. He writes very clearly on a difficult topic and provides good graphical information.
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13 of 13 people found the following review helpful By A Customer on June 8, 2001
Format: Hardcover
This self-contained title represents a thorough treatment of both univariate and multivariate density estimation, with an emphasis on multivariate applications not found in other texts. A valuable, and perhaps unique, feature of this book is its clear discussion of the theory of kernel density estimation in terms of the conventional histogram, the latter being quite intuitive to most students.
The author uses applied mathematics, expected value operations, and asymptotic theory to draw general conclusions about the relative performance between different density estimation techniques. The purpose is to provide estimators that are "optimal" for higher dimensioned problems, since the computational burden grows exponentially with higher dimensions (thus making exploratory data analysis more expensive). With this in mind, the author is justified to show how the thorough treatment of theory relates to practice and visualization.
Ideas are reinforced by many problems at the end of each chapter (I regret that the answers to these problems are not included, or would have otherwise preferred just a few more examples). One nice feature is the author puts boxes around the most important theorems and results, making them easier to identify for reference purposes later. There is an emphasis on the way univariate concepts extend to lower dimensional multivariate problems, so that only a minority of the text might be considered exclusively multivariate in scope. The book contains a valuable list of references and a terse but useful appendix on 3-D computer visualization.
As a result, this text educates on more than density estimation, but does so assuming a fairly sophisticated level of audience education and background beyond the first few chapters.
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4 of 5 people found the following review helpful By Jan Galkowski on December 12, 2008
Format: Hardcover Verified Purchase
This has become of four texts I am constantly consulting.

The others?

Rice, MATHEMATICAL STATISTICS AND DATA ANALYSIS, 3rd edition.

Bivand, Pebesma, Gomez-Rubio, APPLIED SPATIAL DATA ANALYSIS WITH R

Ramsey, Schafer, THE STATISTICAL SLEUTH: A COURSE IN METHODS OF DATA ANLYSIS
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1 of 1 people found the following review helpful By Ferret Downs on August 18, 2013
Format: Hardcover Verified Purchase
Silverman's book on Density Estimation is still the classic, and one I wouldn't be without, but Scott's book is a great companion. Obviously, it focuses more on multivariate techniques but it also covers bandwidth selection more in depth. These two books, together, provide a complete set. I recommend getting both if you are a serious student of density methods.
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