Local identification of nonparametric and semiparametric models
Abstract
In parametric models a sufficient condition for local idenfication is that the vector of moment is differentiable at the true parameter with full rank derivative matrix. This paper shows that additional conditions are often needed in nonlinear, nonparametric models to avoid nonlinearities overwhelming linear effects. It give restrictions on a neighbourhood of the true value that are sufficient for local identification. These results are applied to obtain new, primitive identification conditions in several important models, including nonseparable quantile instrumental variable (IV) models, single-index IV models, and semiparametric consumption-based asset pricing models.Download Info
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Paper provided by Centre for Microdata Methods and Practice, Institute for Fiscal Studies in its series CeMMAP working papers with number CWP37/12.Length:
Date of creation: Nov 2012
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Handle: RePEc:ifs:cemmap:37/12
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Related research
Keywords: Identification; Local Identification; Nonparametric Models; Asset Pricing;Other versions of this item:
- Xiaohong Chen & Victor Chernozhukov & Sokbae Lee & Whitney Newey, 2011. "Local Identification of Nonparametric and Semiparametric Models," Cowles Foundation Discussion Papers 1795R, Cowles Foundation for Research in Economics, Yale University, revised Nov 2012.
- Xiaohong Chen & Victor Chernozhukov & Sokbae 'Simon' Lee & Whitney Newey, 2011. "Local identification of nonparametric and semiparametric models," CeMMAP working papers CWP17/11, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
- Xiaohong Chen & Victor Chernozhukov & Sokbae Lee & Whitney Newey, 2011. "Local Identification of Nonparametric and Semiparametric Models," Cowles Foundation Discussion Papers 1795, Cowles Foundation for Research in Economics, Yale University.
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Longitudinal Data; Spatial Time Series
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-12-10 (All new papers)
References
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