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Root-N-Consistent Semiparametric Regression
Abstract
One type of semiparametric regression is b8X A u(Z), where b and u(Z) are an unknown slope coefficient vector and function. Estimates of b based on incorrect parametrization of u are generally inconsist ent, whereas consistent nonparametric estimates converge slowly. An e stimate, bC, is constructed by inserting nonpar-ametric regression es timates in the nonlinear orthogonal projection on Z. Under regularity conditions bC is shown to be N1/2-consistent for b and asymptoticall y normal, and a consistent estimate of its limiting covariance matrix is given. The author discusses the identification problem and bC's e fficiency. Extensions to other econometric models are described. Copyright 1988 by The Econometric Society.
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Metadata
- Authors
- Robinson, P. M.
- Venue
- Econometrica
- Publisher
- JSTOR
- Published
- 1988-07
- Volume
- 56
- Issue
- 4
- Pages
- 931
- ISSN
- 0012-9682 (ISSN-L)
- OpenAlex
- W2078658856
- Cited by
- 2,475
- References
- 1
- FWCI
- 7.89
- Type
- journal article
- Language
- en
- Open access
- closed
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