The Fence Methods Contributor(s): Jiming Jiang & Thuan Nguyen (Author) |
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ISBN: 981459606X ISBN-13: 9789814596060 Publisher: World Scientific Publishing Company OUR PRICE: $93.10 Product Type: Hardcover - Other Formats Published: December 2015 |
Additional Information |
BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | Applied - Mathematics | Complex Analysis |
Physical Information: 0.9" H x 6.1" W x 9" (1.30 lbs) 248 pages |
Descriptions, Reviews, Etc. |
Publisher Description:
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. |