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Table of contents (17 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews of the first edition:
"This book is built around a new look on the important problem of bandwidth selection in density estimation. This new method has been launched in two recent papers of the two authors in the Annals of Statistics. It is based on ideas of minimum distance methods and convergence theory for empirical measures, uniformly over certain classes. The methods aim at finding estimators with universal properties that is valid for all (or nearly all) densities. The book is self-contained because a lot of fundamental inequalities and essential combinatorial techniques are collected in the first part of the book. There is a rich choice of exercises, some of which may be quite hard. This makes it interesting for classroom teaching. It is an attractive book that certainly provides inspiration for further research."
Short Book Reviews, Vol. 21, No. 2, August 2001
"The book deals with probability density estimation from an i.i.d. sample, but the approach is different from those used in other texts on this topic. … It is the aim of the book to study universal performance properties of these estimates. … it is well written following the same idea throughout and contains many exercises which complete the different topics. … I enjoyed reading this nicely written book which can certainly be recommended to all mathematically orientated statisticians interested in the subject." (Ulrich Stadtmüller, Mathematical Reviews, Issue 2002 h)
"This carefully written monograph focuses on nonparametric estimation of a density from i.i.d. data, with the goodness-of-fit being measured in terms of the L1-norm. … The book is recommended to those who want to get an overview of the state of the art of this approach." (W. Stute, Zentralblatt MATH, Vol. 964, 2001)
Authors and Affiliations
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Computer Science Department, McGill University, Montreal, Canada
Luc Devroye
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Facultat de Ciencies Economiques, Universitat Pompeu Fabra, Barcelona, Spain
Gábor Lugosi
Bibliographic Information
Book Title: Combinatorial Methods in Density Estimation
Authors: Luc Devroye, Gábor Lugosi
Series Title: Springer Series in Statistics
DOI: https://doi.org/10.1007/978-1-4613-0125-7
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag New York, Inc. 2001
Hardcover ISBN: 978-0-387-95117-1Published: 12 January 2001
Softcover ISBN: 978-1-4612-6527-6Published: 14 September 2012
eBook ISBN: 978-1-4613-0125-7Published: 06 December 2012
Series ISSN: 0172-7397
Series E-ISSN: 2197-568X
Edition Number: 1
Number of Pages: XII, 209
Topics: Statistical Theory and Methods