期刊
ECONOMETRICA
卷 82, 期 2, 页码 785-809出版社
WILEY-BLACKWELL
DOI: 10.3982/ECTA9988
关键词
Identification; local identification; nonparametric models; asset pricing
类别
资金
- National Science Foundation [SES-0838161, SES-1132399]
- European Research Council [ERC-2009-StG-240910-ROMETA]
- National Research Foundation of Korea [NRF-2011-327-B00073]
- Economic and Social Research Council [ES/I034021/1] Funding Source: researchfish
- National Research Foundation of Korea [327-2011-1-B00073] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
In parametric, nonlinear structural models, a classical sufficient condition for local identification, like Fisher (1966) and Rothenberg (1971), is that the vector of moment conditions is differentiable at the true parameter with full rank derivative matrix. We derive an analogous result for the nonparametric, nonlinear structural models, establishing conditions under which an infinite dimensional analog of the full rank condition is sufficient for local identification. Importantly, we show that additional conditions are often needed in nonlinear, nonparametric models to avoid nonlinearities overwhelming linear effects. We give restrictions on a neighborhood of the true value that are sufficient for local identification. We apply these results to obtain new, primitive identification conditions in several important models, including nonseparable quantile instrumental variable (IV) models and semiparametric consumption-based asset pricing models.
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