Authors:
- Reference Book intended for grad students and researchers in statistics, industrial and Engineering mathematics, and operations research
- Convexity and convex optimization receive special attention
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Series in Statistics (SSS)
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Table of contents (11 chapters)
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Front Matter
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Parametric Density Estimation
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Front Matter
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Nonparametric Density Estimation
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Front Matter
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Convexity and Optimization
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"…A highly readable and appealing book…In a world of dry prose, this book is a refreshing change…The book is enjoyable to read, which alone merits praise." Journal of the American Statistical Association
"This is a theoretical work, but the authors always keep the practical aspect in mind. Algorithmic issues are treated with great care. In fact, very interesting chapters, demonstrating the main techniques at work on simulated and real data, complement the theoretical treatment. The monograph is highly recommended for teaching advanced courses on nonparametric statistics. This book is a must for anyone who is serious about nonparametric curve estimation." SIAM Reviews
"The basic tools needed are introduced in the book itself, proofs are complete, partly using the many exercises which are added. The text contains an impressive list of references. … the variety of ideas and approaches is also an advantage of the book since one can learn quite different approaches and techniques from it. … Even specialists may find some new aspects. Certainly the book belongs to the bookshelf of researchers and advanced students being interested in the subject." (Ulrich Stadtmüller, Metrika, July, 2003)
"Throughout the book, applications and the practical performance of the theoretical results are studied. … The book provides a good and up-to-date introduction to nonparametric density estimation. One of its main strengths is giving overviews and motivations of the general ideas before moving on to the technicalities. This, together with the in-action chapters, makes it an excellent text-book for graduate students in statistics, as well as practitioners in the field." (Pia Veldt Larsen, Journal of the Royal Statistical Society Series A: Statistics in Society, Vol. 157 (2), 2004)
"The selection of important topics has been made with excellent taste. The authors’ entertaining style of writing, rare in mathematical texts, makes the book a pleasure to read. The authors are never afraid of giving their opinion explicitly on the beauty, difficulty, and importance of the discussed issues. … The monograph is highly recommended for teaching advanced courses on nonparametric statistics. This book is a must for anyone who is serious about nonparametric curve estimation." (Gábor Lugosi, SIAM Review, Vol. 45 (2), 2003)
"This well written book gives a nice mathematical treatment of parametric and nonparametric maximum likelihood estimation, mainly in the context of density estimation. In addition to these main parts there is a final section on convexity and optimization. … This broader and unifying view is indeed an asset compared to earlier monographs on the above mentioned topics." (Jan Beirlant, Mathematical Reviews, Issue 2002 j)
"The mathematical level is quite high, but most of the required tools, like martingales, exponential inequalities, Fourier analysis, Banach spaces, etc. are explained in the text. An interesting feature of the book is also that each part ends with an ‘in action’ chapter in which the estimation procedures are put to work and small sample performance is discussed. The book can be used for classes and seminars, particularly because of the presence of numerous exercises and tasks." (N. D. C. Veraverbeke, Short Book Reviews, Vol. 22 (1), 2002)
Authors and Affiliations
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Department of Food and Resource Economics, University of Delware, Newark, USA
P. P. B. Eggermont, V. N. LaRiccia
Bibliographic Information
Book Title: Maximum Penalized Likelihood Estimation
Book Subtitle: Volume I: Density Estimation
Authors: P. P. B. Eggermont, V. N. LaRiccia
Series Title: Springer Series in Statistics
DOI: https://doi.org/10.1007/978-1-0716-1244-6
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 2001
Hardcover ISBN: 978-0-387-95268-0Published: 21 June 2001
Softcover ISBN: 978-1-4419-2928-0Published: 03 December 2010
eBook ISBN: 978-1-0716-1244-6Published: 15 December 2020
Series ISSN: 0172-7397
Series E-ISSN: 2197-568X
Edition Number: 1
Number of Pages: XVIII, 512
Topics: Statistical Theory and Methods, Operations Research/Decision Theory