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Model selection in spline nonparametric regression

delete2002-03-12
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S
Sally Wood
R
Robert Kohn
T
Tom Shively
W
Wenxin Jiang
DOI:10.1111/1467-9868.00328delete
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摘要

摘要

En 中文
A Bayesian approach is presented for model selection in nonparametric regression with Gaussian errors and in binary nonparametric regression. A smoothness prior is assumed for each component of the model and the posterior probabilities of the candidate models are approximated using the Bayesian information criterion. We study the model selection method by simulation and show that it has excellent frequentist properties and gives improved estimates of the regression surface. All the computations are carried out efficiently using the Gibbs sampler.
Keyword:
Bayesian analysis
Bayesian information criterion
binary regression
Gibbs sampler
thin plate splines
variable selection
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期刊

J
Journal of the Royal Statistical Society Series B-Statistical Methodology
IF:
3.6
论文数:
1.5K
被引数:
3.2W

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