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Fence Methods (Hardcover) (Jiming Jiang & Thuan Nguyen)
About this item
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.
Number of Pages: 233
Sub-Genre: Applied, Probability + Statistics / General
Publisher: World Scientific Pub Co Inc
Author: Jiming Jiang & Thuan Nguyen
Street Date: November 23, 2015
Item Number (DPCI): 248-00-6452
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