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A SIMPLE PANEL UNIT ROOT TEST IN THE PRESENCE OF CROSS-SECTION DEPENDENCE

机译:有横断面相关性的简单面板根测试

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摘要

A number of panel unit root tests that allow for cross-section dependence have been proposed in the literature that use orthogonalization type procedures to asymptotically eliminate the cross-dependence of the series before standard panel unit root tests are applied to the transformed series. In this paper we propose a simple alternative where the standard augmented Dickey-Fuller (ADF) regressions are augmented with the cross-section averages of lagged levels and first-differences of the individual series. New asymptotic results are obtained both for the individual cross-sectionally augmented ADF (CADF) statistics and for their simple averages. It is shown that the individual CADF statistics are asymptotically similar and do not depend on the factor loadings. The limit distribution of the average CADF statistic is shown to exist and its critical values are tabulated. Small sample properties of the proposed test are investigated by Monte Carlo experiments. The proposed test is applied to a panel of 17 OECD real exchange rate series as well as to log real earnings of households in the PSID data.
机译:在文献中已经提出了许多允许横截面相关性的面板单位根检验,在将标准面板单位根检验应用于变换后的序列之前,使用正交化过程逐步消除了序列的交叉依赖性。在本文中,我们提出了一种简单的替代方法,其中标准滞后的Dickey-Fuller(ADF)回归通过滞后水平的横截面平均值和各个系列的一阶差分来进行扩展。对于各个横截面增强的ADF(CADF)统计数据及其简单平均值,都获得了新的渐近结果。结果表明,各个CADF统计量在渐近性上相似,并且不取决于因素负荷。平均CADF统计量的极限分布显示存在,并且其临界值已制成表格。建议的测试的小样本属性通过蒙特卡洛实验进行研究。拟议的测试适用于17个OECD实际汇率系列,并在PSID数据中记录家庭的实际收入。

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