Penalty, Shrinkage and Pretest Strategies

Beschreibung

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 individualchapters, 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.

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.

Autor*in

S. Ejaz Ahmed

Themen in »Penalty, Shrinkage and Pretest Strategies«

62J05, 62J07, 62F10, 62F12 penalty estimation pooling data pretest and shrinkage estimation regression models variable selection

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“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)

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