Identification of nonparametric monotonic regression models with continuous nonclassical measurement errors
Identification of nonparametric monotonic regression models with continuous nonclassical measurement errors
复制标题
具有连续非经典测量误差的非参数单调回归模型的识别
DOI:
10.1016/j.jeconom.2020.09.014
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发表时间:
2022
影响因子:
6.3
通讯作者:
Shiu, Ji-Liang
中科院分区:
文献类型:
--
作者:
Hu, Yingyao;Schennach, Susanne;Shiu, Ji-Liang
This paper provides sufficient conditions for identification of a nonparametric regression model with an unobserved continuous regressor subject to nonclassical measurement error. The measurement error may be directly correlated with the latent regressor in the model. Our identification strategy does not require the availability of additional data information, such as a secondary measurement, an instrumental variable, or an auxiliary sample. Our main assumptions for nonparametric identification include monotonicity of the regression function, independence of the regression error, and completeness of the measurement error distribution. We also propose a sieve maximum likelihood estimator and investigate its finite sample property through Monte Carlo simulations.
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