On the Use of GLS Demeaning in Panel Unit Root Testing
面板单位根检验中 GLS 去均值的作用AI 解读 ↓
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AI 根据所提供的论文材料归类：摘要专门讨论面板单位根检验，并将时间序列 DF–GLS 方法推广至面板，对应面板非平稳性与时间序列方法。
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面板单位根检验中 GLS 去均值的作用
- 研究问题
- 研究 GLS 去均值能否提高面板单位根检验的功效，重点考察去均值与一阶差分的先后顺序及局部备择调节参数的作用。
- 方法与思路
- 作者分析 GLS 去均值与合并 OLS 单位根 t 检验的结合，研究时间序列 DF–GLS 检验的面板对应形式及其渐近性质。
- 材料陈述的贡献
- 摘要称先去均值再差分时 GLS 功效最佳，先差分时则偏好 OLS；前一种情形的渐近分布不依赖局部备择调节参数。
- 阅读关注点
- 应核对两种操作顺序对应的检验构造、功效比较的渐近框架，以及面板维度增长、截面依赖和确定性项的适用条件。
- 阅读边界
- 摘要未说明面板维度的渐近安排及误差依赖限制，也未报告数值功效；操作顺序的结论不能直接推广到所有面板单位根检验。
原文摘要
One of the most well-known facts about unit root testing in time series is that the Dickey–Fuller (DF) test based on ordinary least squares (OLS) demeaned data suffers from low power, and that the use of generalized least squares (GLS) demeaning can lead to substantial power gains. Of course, this development has not gone unnoticed in the panel unit root literature. However, while the potential of using GLS demeaning is widely recognized, oddly enough, there are still no theoretical results available to facilitate a formal analysis of such demeaning in the panel data context. The present article can be seen as a reaction to this. The purpose is to evaluate the effect of GLS demeaning when used in conjuncture with the pooled OLS t-test for a unit root, resulting in a panel analog of the time series DF–GLS test. A key finding is that the success of GLS depend critically on the order in which the dependent variable is demeaned and first-differenced. If the variable is demeaned prior to taking first-differences, power is maximized by using GLS demeaning, whereas if the differencing is done first, then OLS demeaning is preferred. Furthermore, even if the former demeaning approach is used, such that GLS is preferred, the asymptotic distribution of the resulting test is independent of the tuning parameters that characterize the local alternative under which the demeaning performed. Hence, the demeaning can just as well be performed under the unit root null hypothesis. In this sense, GLS demeaning under the local alternative is redundant.