Overview
- An important and substantial contribution to the existing knowledge on submodel, pretest and shrinkage estimation and comparison with penalty estimators
- Nearly all the chapters are self-contained, providing theoretical and numerical solutions and featuring numerous examples based on real datasets
- Blends together estimation and variable selection strategies for a host of applications
- Conveys difficult ideas clearly and directly in a friendly, accessible style
- Includes supplementary material: sn.pub/extras
Part of the book series: SpringerBriefs in Statistics (BRIEFSSTATIST)
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About this book
The objective of this book is to compare the statistical properties of penalty and non-penalty estimation strategies for some popular models. Specifically, it considers the full model, submodel, penalty, pretest and shrinkage estimation techniques for three regression models before presenting the asymptotic properties of the non-penalty estimators and their asymptotic distributional efficiency comparisons. Further, the risk properties of the non-penalty estimators and penalty estimators are explored through a Monte Carlo simulation study. Showcasing examples based on real datasets, the book will be useful for students and applied researchers in a host of applied fields.
The book’s level of presentation and style make it accessible to a broad audience. It offers clear, succinct expositions of each estimation strategy. More importantly, it clearly describes how to use each estimation strategy for the problem at hand. The book is largely self-contained, as are the individual chapters, so that anyone interested in a particular topic or area of application may read only that specific chapter. The book is specially designed for graduate students who want to understand the foundations and concepts underlying penalty and non-penalty estimation and its applications. It is well-suited as a textbook for senior undergraduate and graduate courses surveying penalty and non-penalty estimation strategies, and can also be used as a reference book for a host of related subjects, including courses on meta-analysis. Professional statisticians will find this book to be a valuable reference work, since nearly all chapters are self-contained.
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Table of contents (6 chapters)
Reviews
“The objective of this book is to lay the foundation for shrinkage-type estimators and to compare statistical properties of penalty and non penalty estimation strategies for some popular linear models. … Undoubtedly this volume will serve as an excellent textbook for advanced undergraduate and graduate courses involving penalty and non penalty estimation and as a references source for professional statisticians and practitioners.” (Vyacheslav Lyubchich, Technometrics, Vol. 57 (1), February, 2015)
“The book’s goal is to present some shrinkage, penalty and pretest estimation techniques for different models (e.g., normal, Poisson, multiple regression, etc.). Selected penalty estimation techniques are compared with the full model, sub-model, pretest, and shrinkage estimators in the regression case. The book is dedicated to graduate students, researchers and practitioners in this field.” (Marina Gorunescu, zbMATH 1306.62002, 2015)
“This book is a comprehensive and well-illustrated overview of the developments in this area in the last decade. … the book is a very good source for those who want to start research in the area of preliminary test and Stein-type estimation in the direction of penalty estimation using a priori information. It will also be of interest and immense help to those interested in the theoretical as well as applied aspects of pretesting, shrinkage and penalty estimation.” (Shalabh, Mathematical Reviews, August, 2014)Authors and Affiliations
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Bibliographic Information
Book Title: Penalty, Shrinkage and Pretest Strategies
Book Subtitle: Variable Selection and Estimation
Authors: S. Ejaz Ahmed
Series Title: SpringerBriefs in Statistics
DOI: https://doi.org/10.1007/978-3-319-03149-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2014
Softcover ISBN: 978-3-319-03148-4Published: 30 December 2013
eBook ISBN: 978-3-319-03149-1Published: 11 December 2013
Series ISSN: 2191-544X
Series E-ISSN: 2191-5458
Edition Number: 1
Number of Pages: IX, 115
Number of Illustrations: 6 b/w illustrations
Topics: Statistical Theory and Methods, Statistics and Computing/Statistics Programs