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Fence Methods, The (Hardcover)
Loot Price: R2,347
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Fence Methods, The (Hardcover)
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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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