Fence Methods, The

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A01=Jiming Jiang
A01=Thuan Nguyen
Adaptive Fence
Author_Jiming Jiang
Author_Thuan Nguyen
Category=PBF
Category=PBKD
Category=PBT
Category=PBW
Criterion of Optimality
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Invisible Fence
Measure of Lack-Of-Fit
Mixed Effects
Model Selection
Restricted Fence

Product details

  • ISBN 9789814596060
  • Publication Date: 12 Nov 2015
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
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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.

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