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arXiv 2202.12062econ.EM
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动态二元选择面板数据模型的半参数估计

Semiparametric Estimation of Dynamic Binary Choice Panel Data Models

Fu Ouyang, Thomas Tao Yang

AI总结:

针对带固定效应和动态项的面板数据二元选择模型,提出两步半参数识别方法与易实现的2SMS估计程序,其收敛速度与模型维度无关,推导了渐近性质并验证了有限样本表现。

摘要:

我们提出一种新方法,用于分析带固定效应和动态项(滞后因变量)的面板数据二元选择模型的半参数分析。所研究模型采用与Honore和Kyriazidou(2000)相同的随机效用框架。我们证明,在确定性效用过程满足额外序列依赖条件、误差分布满足尾部约束的前提下,该模型的(点)识别可分两步进行,且仅需匹配解释变量的指标函数随时间的取值,而非匹配每个解释变量的取值。\n该识别思路催生了一种易于实现的两步最大得分(2SMS)程序——与Honore和Kyriazidou(2000)的方法不同,其估计量的收敛速度与模型维度无关。我们推导了2SMS程序的渐近性质,并提出基于bootstrap的分布近似方法用于统计推断。蒙特卡洛模拟结果表明,该程序在有限样本下表现良好。

英文摘要:

We propose a new approach to the semiparametric analysis of panel data binary choice models with fixed effects and dynamics (lagged dependent variables). The model we consider has the same random utility framework as in Honore and Kyriazidou (2000). We demonstrate that, with additional serial dependence conditions on the process of deterministic utility and tail restrictions on the error distribution, the (point) identification of the model can proceed in two steps, and only requires matching the value of an index function of explanatory variables over time, as opposed to that of each explanatory variable. Our identification approach motivates an easily implementable, two-step maximum score (2SMS) procedure -- producing estimators whose rates of convergence, in contrast to Honore and Kyriazidou's (2000) methods, are independent of the model dimension. We then derive the asymptotic properties of the 2SMS procedure and propose bootstrap-based distributional approximations for inference. Monte Carlo evidence indicates that our procedure performs adequately in finite samples.

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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