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Variance function partially linear single-index models

delete2014-04-08
delete31
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H
Heng Lian
H
Hua Liang *
R
Raymond J. Carroll
DOI:10.1111/rssb.12066delete
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摘要

摘要

En 中文
We consider heteroscedastic regression models where the mean function is a partially linear single-index model and the variance function depends on a generalized partially linear single-index model. We do not insist that the variance function depends only on the mean function, as happens in the classical generalized partially linear single-index model. We develop efficient and practical estimation methods for the variance function and for the mean function. Asymptotic theory for the parametric and non-parametric parts of the model is developed. Simulations illustrate the results. An empirical example involving ozone levels is used to illustrate the results further and is shown to be a case where the variance function does not depend on the mean function.
Keyword:
Asymptotic theory
Estimating equation
Identifiability
Kernel regression
Modelling ozone levels
Partially linear single-index model
Semiparametric efficiency
Single-index model
Variance function estimation
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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

机构

N
Nanyang Technological University
学者数:
4.9W
论文数: 4.8W
被引数: 8.1W
G
George Washington University
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1.6W
论文数: 1.4W
被引数: 1.7W
T
Texas A&M University System
学者数:
4.4W
论文数: 4.0W
被引数: 4.0K
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引用论文

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