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arXiv 1801.05041econ.EMstat.ME
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分组固定效应的面板数据分位数回归

Panel Data Quantile Regression with Grouped Fixed Effects

Jiaying Gu, Stanislav Volgushev

摘要:

介绍了面板数据分位数回归中分组潜在异质性的估计方法。我们假设所观察到的个体来自一个具有有限数量类型的异质种群。类型和组成员的数量不被假定为预先已知,并通过凸优化问题估计。我们提供的条件下,组成员的估计一致,并建立渐近正态性的估计。仿真结果表明,当T相当大时,该方法在有限样本下工作良好。为了说明所提出的方法,我们使用1977年至2010年美国51个州的面板数据研究了通过隐藏武器法对暴力犯罪率的影响。

英文摘要:

This paper introduces estimation methods for grouped latent heterogeneity in panel data quantile regression. We assume that the observed individuals come from a heterogeneous population with a finite number of types. The number of types and group membership is not assumed to be known in advance and is estimated by means of a convex optimization problem. We provide conditions under which group membership is estimated consistently and establish asymptotic normality of the resulting estimators. Simulations show that the method works well in finite samples when T is reasonably large. To illustrate the proposed methodology we study the effects of the adoption of Right-to-Carry concealed weapon laws on violent crime rates using panel data of 51 U.S. states from 1977 - 2010.

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