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Maximum Penalized Likelihood Estimation

Volume II: Regression

Paul P. Eggermont Vincent N. LaRiccia

$508.95   $406.76

Hardback

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English
Springer-Verlag New York Inc.
06 July 2009
This book is intended for graduate students in statistics and industrial mathematics, as well as researchers and practitioners in the field. We cover both theory and practice of nonparametric estimation. The text is novel in its use of maximum penalized likelihood estimation, and the theory of convex minimization problems (fully developed in the text) to obtain convergence rates. We also use (and develop from an elementary view point) discrete parameter submartingales and exponential inequalities. A substantial effort has been made to discuss computational details, and to include simulation studies and analyses of some classical data sets using fully automatic (data driven) procedures. Some theoretical topics that appear in textbook form for the first time are definitive treatments of I.J. Good's roughness penalization, monotone and unimodal density estimation, asymptotic optimality of generalized cross validation for spline smoothing and analogous methods for ill-posed least squares problems, and convergence proofs of EM algorithms for random sampling problems.

By:   ,
Imprint:   Springer-Verlag New York Inc.
Country of Publication:   United States
Edition:   2009 ed.
Dimensions:   Height: 235mm,  Width: 155mm,  Spine: 31mm
Weight:   2.210kg
ISBN:   9780387402673
ISBN 10:   0387402675
Series:   Springer Series in Statistics
Pages:   572
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Nonparametric Regression.- Smoothing Splines.- Kernel Estimators.- Sieves.- Local Polynomial Estimators.- Other Nonparametric Regression Problems.- Smoothing Parameter Selection.- Computing Nonparametric Estimators.- Kalman Filtering for Spline Smoothing.- Equivalent Kernels for Smoothing Splines.- Strong Approximation and Confidence Bands.- Nonparametric Regression in Action.

Reviews for Maximum Penalized Likelihood Estimation: Volume II: Regression

From the reviews: This book is meant for specialized readers or graduate students interested in the theory, computation and application of Nonparametric Regression to real data, and the new contributions of the authors. ... For mathematically mature readers, the book would be a delight to read. ... The authors have not only written a scholarly and very readable book but provide major new methods and insights. ... it would help evaluate the methods as well as lead to teachable notes for a graduate course. (Jayanta K. Ghosh, International Statistical Review, Vol. 79 (1), 2011)


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