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arXiv 2102.08063econ.EM
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连续处理效应模型规格检验的统一框架

A Unified Framework for Specification Tests of Continuous Treatment Effect Models

Wei Huang, Oliver Linton, Zheng Zhang

摘要:

我们提出了一个一般框架的规格测试的连续处理效应模型。我们假设一个一般的残差函数,其中包括作为特殊情况的平均和分位数处理效应模型。零模型是在无混淆条件下辨识的,包含一个非参数加权函数。我们提出了一个检验统计的零模型,其中的加权函数估计通过求解一组扩大的矩方程。我们建立了我们的检验统计量的零假设下,固定和本地的替代品的渐近分布。所提出的检验统计量被证明是更有效的比从真正的加权函数构造,并可以检测局部替代偏离零模型的速度为$O(N^{-1/2})$。给出了检验统计量零分布的模拟逼近方法。蒙特卡罗模拟表明,该检验具有良好的有限样本性能,应用表明了该方法的实用价值。

英文摘要:

We propose a general framework for the specification testing of continuous treatment effect models. We assume a general residual function, which includes the average and quantile treatment effect models as special cases. The null models are identified under the unconfoundedness condition and contain a nonparametric weighting function. We propose a test statistic for the null model in which the weighting function is estimated by solving an expanding set of moment equations. We establish the asymptotic distributions of our test statistic under the null hypothesis and under fixed and local alternatives. The proposed test statistic is shown to be more efficient than that constructed from the true weighting function and can detect local alternatives deviated from the null models at the rate of $O(N^{-1/2})$. A simulation method is provided to approximate the null distribution of the test statistic. Monte-Carlo simulations show that our test exhibits a satisfactory finite-sample performance, and an application shows its practical value.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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