FENCE METHODS, THE - Hardcover

JIMING JIANG & THUAN NGUYEN

Hardcover

ISBN 10: 981459606X ISBN 13: 9789814596060

Verlag: World Scientific, 2015

Inhaltsangabe

Páginas:248Géneros:12:PBT:Probability&statistics12:PBW:AppliedmathematicsSinopsis: ,Thisbookisaboutarecentlydevelopedclassofstrategies,knownasthefencemethods,whichfitsparticularlywellinnon-conventionalandcomplexmodelselectionproblemswithpracticalconsiderations.Theideainvolvesaproceduretoisolateasubgroupofwhatareknownascorrectmodels,ofwhichtheoptimalmodelisamember.Thisisaccomplishedbyconstructingastatisticalfence,orbarrier,tocarefullyeliminateincorrectmodels.Oncethefenceisconstructed,theoptimalmodelisselectedfromamongstthosewithinthefenceaccordingtoacriterionwhichcanbemadeflexible.Inparticular,thecriterionofoptimalitycanincorporateconsiderationofpracticalinterest,thusmakingmodelselectionareallifepractice.Furthermore,thisbookintroducesadata-drivenapproach,calledadaptivefence,whichcanbeusedinawiderangeofproblemsinvolvingdeterminationoftuningparameters,orconstants.Insteadofrelyingonasymptotictheory,thefencefocusesonfinite-sampleperformance,andcomputation.Suchfeaturesareparticularlysuitabletostatisticsinthenewera._,

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Reseña del editor

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.

Details zur Ausgabe

• Verlag: World Scientific
• Erscheinungsdatum: 2015
• ISBN 10: 981459606X
• ISBN 13: 9789814596060
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 248