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arXiv 2006.14409econ.EMmath.STstat.TH
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具有横截面和时间相关性的大型面板的无平滑推断

Inference without smoothing for large panels with cross-sectional and temporal dependence

J. Hidalgo, M. Schafgans

摘要:

本文讨论了在大面板数据模型中,同时存在未知形式的横截面和时间相关的推断问题。我们有兴趣作出推论,不依赖于任何平滑参数的选择,因为是经常采用的“HAC”估计的协方差矩阵的情况下。为此,我们提出了一个集群估计的渐近协方差的估计和有效的自助方案,不需要选择的带宽或平滑参数,并容纳非参数性质的时间和横截面的依赖。我们的方法是基于这样的观察,即固定效应面板数据模型的谱表示是这样的,误差变得近似时间不相关。我们提出的自举方案可以被视为在频域中的野生自举。我们提出了一些蒙特卡罗模拟,以阐明我们的推理过程的小样本性能。

英文摘要:

This paper addresses inference in large panel data models in the presence of both cross-sectional and temporal dependence of unknown form. We are interested in making inferences that do not rely on the choice of any smoothing parameter as is the case with the often employed "HAC" estimator for the covariance matrix. To that end, we propose a cluster estimator for the asymptotic covariance of the estimators and valid bootstrap schemes that do not require the selection of a bandwidth or smoothing parameter and accommodate the nonparametric nature of both temporal and cross-sectional dependence. Our approach is based on the observation that the spectral representation of the fixed effect panel data model is such that the errors become approximately temporally uncorrelated. Our proposed bootstrap schemes can be viewed as wild bootstraps in the frequency domain. We present some Monte-Carlo simulations to shed some light on the small sample performance of our inferential procedure.

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