In this paper, variable selection issue is considered in a nonparametric regression setting. Two stepwise procedures based on variance estimators are proposed for selecting the significant variables in a general nonparametric regression model. These procedures do not require multidimensional smoothing at intermediate steps and they are based on formal rests of hypotheses as opposed to existing methods in the literature. Asymptotic properties are examined and empirical results are given.
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Univ New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, AustraliaUniv New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, Australia
Yau, P
Kohn, R
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Univ New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, AustraliaUniv New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, Australia
Kohn, R
Wood, S
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Univ New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, AustraliaUniv New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, Australia
机构:Univ New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, Australia
Wood, S
Kohn, R
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Univ New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, AustraliaUniv New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, Australia
Kohn, R
Shively, T
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机构:Univ New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, Australia
Shively, T
Jiang, WX
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机构:Univ New S Wales, Australian Grad Sch Management, Sydney, NSW 2052, Australia