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Identification and estimation of single-index models with measurement error and endogeneity

机译:具有测量误差和内生性的单指标模型的识别和估计

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摘要

Economic variables are often measured with an error and may be endogenous. In this paper, we give new identification results for the ratio of partial effects in linear index models with measurement error and endogeneity. The identification restrictions include independence of covariates and error terms, and the derivative of some conditional mean functions being nonzero. We propose a local polynomial regression estimator to estimate the single-index parameters. We apply these tools to estimate the labour-supply elasticity and find that the labour-supply elasticity for married men is positive, while the coefficients for married women are negative for the full sample and positive for the working sample.
机译:经济变量通常带有误差,并且可能是内生的。在本文中,我们针对具有测量误差和内生性的线性指标模型中的部分效应比率给出了新的识别结果。识别限制包括协变量和误差项的独立性,以及某些条件均值函数的导数为非零。我们提出了一个局部多项式回归估计量来估计单指标参数。我们使用这些工具来估计劳动供给弹性,发现已婚男子的劳动供给弹性为正,而已婚妇女的系数在整个样本中为负,在工作样本中为正。

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