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Book synopsis

Density estimation has evolved enormously since the days of bar plots and histograms, but researchers and users are still struggling with the problem of the selection of the bin widths. This text explores a new paradigm for the data-based or automatic selection of the free parameters of density estimates in general so that the expected error is within a given constant multiple of the best possible error. The paradigm can be used in nearly all density estimates and for most model selection problems, both parametric and nonparametric. It is the first book on this topic. The text is intended for first-year graduate students in statistics and learning theory, and offers a host of opportunities for further research and thesis topics. Each chapter corresponds roughly to one lecture, and is supplemented with many classroom exercises. A one year course in probability theory at the level of Feller's Volume 1 should be more than adequate preparation.

Book details

Book category Books in English Mathematics & science Mathematics Probability & statistics

• Full title: Combinatorial Methods in Density Estimation
• Author: Luc Devroye, Gabor Lugosi
• Language: English
• Binding: Hardback
• Number of pages: 209
• EAN: 9780387951171
• ISBN: 0387951172
• ID: 05248014
• Publisher: Springer-Verlag New York Inc.
• Weight: 1090 g
• Dimensions: 235 × 155 × 17 mm
• Date of publishing: 12. January 2001

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