The Fence Methods

Nonfiction, Science & Nature, Mathematics, Statistics
Cover of the book The Fence Methods by Jiming Jiang, Thuan Nguyen, World Scientific Publishing Company
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Author: Jiming Jiang, Thuan Nguyen ISBN: 9789814596084
Publisher: World Scientific Publishing Company Publication: September 22, 2015
Imprint: WSPC Language: English
Author: Jiming Jiang, Thuan Nguyen
ISBN: 9789814596084
Publisher: World Scientific Publishing Company
Publication: September 22, 2015
Imprint: WSPC
Language: English

This book is about a recently developed class of strategies, known as the fence methods, which fits particularly well in non-conventional and complex model selection problems with practical considerations. The idea involves a procedure to isolate a subgroup of what are known as correct models, of which the optimal model is a member. This is accomplished by constructing a statistical fence, or barrier, to carefully eliminate incorrect models. Once the fence is constructed, the optimal model is selected from amongst those within the fence according to a criterion which can be made flexible. In particular, the criterion of optimality can incorporate consideration of practical interest, thus making model selection a real life practice.

Furthermore, this book introduces a data-driven approach, called adaptive fence, which can be used in a wide range of problems involving determination of tuning parameters, or constants. Instead of relying on asymptotic theory, the fence focuses on finite-sample performance, and computation. Such features are particularly suitable to statistics in the new era.

Contents:

  • Introduction
  • Examples
  • Adaptive Fence
  • Restricted Fence
  • Invisible Fence
  • Fence Methods for Small Area Estimation and Related Topics
  • Shrinkage Selection Methods
  • Model Selection with Incomplete Data
  • Theoretical Properties

Readership: Graduates and researchers interested in a new class of strategies for model selection.
Key Features:

  • Introduces a general data-driven procedure, and let the data speak in choosing some critical tuning constants
  • Targets non-conventional and complex problems, and focuses on finite-sample performance and computation
  • Makes model selection a real life practice
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book is about a recently developed class of strategies, known as the fence methods, which fits particularly well in non-conventional and complex model selection problems with practical considerations. The idea involves a procedure to isolate a subgroup of what are known as correct models, of which the optimal model is a member. This is accomplished by constructing a statistical fence, or barrier, to carefully eliminate incorrect models. Once the fence is constructed, the optimal model is selected from amongst those within the fence according to a criterion which can be made flexible. In particular, the criterion of optimality can incorporate consideration of practical interest, thus making model selection a real life practice.

Furthermore, this book introduces a data-driven approach, called adaptive fence, which can be used in a wide range of problems involving determination of tuning parameters, or constants. Instead of relying on asymptotic theory, the fence focuses on finite-sample performance, and computation. Such features are particularly suitable to statistics in the new era.

Contents:

Readership: Graduates and researchers interested in a new class of strategies for model selection.
Key Features:

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