Pointwise Confidence Intervals in Nonparametric Regression with Heteroscedastic Error Structure
作者:
Michael H. Neumann,
期刊:
Statistics
(Taylor Available online 1997)
卷期:
Volume 29,
issue 1
页码: 1-36
ISSN:0233-1888
年代: 1997
DOI:10.1080/02331889708802572
出版商: Taylor & Francis Group
关键词: 1991 Mathematics Subject Classification;Primary 62G15;Secondary 62G07;62E20;Nonparametric regression;asymptotic confidence interval;error in coverage probability;Edgeworth expansion;Cornish‐Fisher expansion;wild bootstrap
数据来源: Taylor
摘要:
We assume a nonparametric model with heteroscedastic error structure and consider pointwise confidence intervals for the mean. We construct them by using quantiles from a Cornish‐Fisher expansion and from the wild bootstrap distribution, with as well as without a subsequent bias correction. It turns out that pure undersmoothing, where the full smoothness is used by the initial estimator, outperforms the method with a subsequent bias correction.
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