| Description |
1 online resource. |
|
text file |
| Series |
Springer Series in Statistics,
0172-7397
|
|
Springer series in statistics.
0172-7397
|
| Contents |
Parametric Maximum Likelihood Estimation -- Parametric Maximum Likelihood Estimation in Action -- Kernel Density Estimation -- Maximum Likelihood Density Estimation -- Monotone and Unimodal Densities -- Choosing the Smoothing Parameter -- Nonparametric Density Estimation in Action -- Convex Minimization in Finite Dimensional Spaces -- Convex Minimization in Infinite Dimensional Spaces -- Convexity in Action. |
| Summary |
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. |
| Bibliography |
Includes bibliographical references and index. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Estimation theory.
|
|
Estimation theory. |
| Genre/Form |
Electronic books.
|
| Added Author |
LaRiccia, V. N. (Vincent N.), author.
|
| Added Title |
Density estimation |
| Other Form: |
Print version: Eggermont, P. P. B. (Paulus Petrus Bernardus). Maximum penalized likelihood estimation. Volume I, Density estimation. New York : Springer, 2001 1441929282 9781441929280 (OCoLC)710019617 |
| ISBN |
9781071612446 (electronic book) |
|
1071612441 (electronic book) |
|
1441929282 |
|
9781441929280 |
| Standard No. |
10.1007/978-1-0716-1244-6 |
|
