数理科学

单位根左侧调整 Wald 联合检验量研究

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  • 安徽工业大学 商学院,安徽 马鞍山 243032
王晓强(1995—),男,安徽马鞍山人,安徽工业大学商学院硕士研究生,主要从事数量经济学理论与应用研究。

收稿日期: 2022-03-20

  网络出版日期: 2022-09-06

基金资助

安徽省自然科学基金项目(项目编号:1908085MG227);安徽省高校研究生科学研究项目(项目编号:YJS20210358)

Research on Wald Joint Test with Left Adjustment of Unit Root

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  • School of Business, Anhui University of Technology, Maanshan Anhui 243032

Received date: 2022-03-20

  Online published: 2022-09-06

摘要

为提高单位根检验功效,在 Wald 联合检验量构造中引入左侧调整方法,并讨论特定数据生成过程下检验量分布。理论研究表明:检验量在大样本下收敛于维纳过程的泛函,且与已有检验量分布不同。蒙特卡洛模拟显示两点结论:第一,左侧调整 Wald 联合检验量分位数随着样本容量增大而减少,且小于对应无调整 Wald 联合检验量分位数;第二,左侧调整 Wald 联合检验量不但具有满意的检验水平,而且检验功效不低于无调整 Wald 联合检验量。研究结果有助于改进单位根联合检验方法,为实证研究提供一种新检验方法,完善了单位根检验流程理论。

本文引用格式

王晓强, 江海峰 . 单位根左侧调整 Wald 联合检验量研究[J]. 巢湖学院学报, 2022 , 24(3) : 60 -67 . DOI: 10.12152/j.issn.1672-2868.2022.03.009

Abstract

To improve the power of unit root test, the left adjustment method is applied to construct the Wald joint statistic and the distribution of statistic under the specific data generation process is also analyzed. Theoretical research shows that the statistic converges to the functional of Wiener process in distribution under large sample size, which is different from any of the existing statistic. Monte Carlo simulation shows two conclusions: first, the quantile of left adjusted Wald joint statistic decreases with the increase of sample size, and is less than that of corresponding unadjusted Wald joint statistic; second, the left adjusted Wald joint statistic not only has a satisfactory size level, but also owns the test power no less than that of the unadjusted Wald joint statistic. The results of this research can help improve the unit root joint test method and provide a new test method for empirical research, which enriches the theory of unit root test process.
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