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Model Selection and Model Averaging.

Model Selection and Model Averaging.

・ISBN 978-0-521-85225-8 hard GB£ 83.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-79048-5

著者・編者Claeskens, Gerda / Hjort, Nils Lid,
シリーズCambridge Series in Statistical and Probabilistic Mathematics
出版社(Cambridge University Press, UK)
出版年月2008
ページ数332 pp.
言語ENG
ニュース番号<M25-8230>

解説

Given a data set, you can fit thousands of models at the push of a button, but how do you choose the best? With so many candidate models, overfitting is a real danger. Is the monkey who typed Hamlet actually a good writer? Choosing a model is central to all statistical work with data. We have seen rapid advances in model fitting and in the theoretical understanding of model selection, yet this book is the first to synthesize research and practice from this active field. Model choice criteria are explained, discussed and compared, including the AIC, BIC, DIC and FIC. The uncertainties involved with model selection are tackled, with discussions of frequentist and Bayesian methods; model averaging schemes are presented. Real-data examples are complemented by derivations providing deeper insight into the methodology, and instructive exercises build familiarity with the methods. The companion website features Data sets and R code.