带有结构突变的单位根检验——文献综述

单位根检验是时间序列分析的基础,而是否考虑结构突变对单位根检验的结论有着重要影响,因此,考虑结构突变的单位根检验已成为计量经济学界的一个前沿热点问题。本文回顾了这一问题的发展历史,总结了该领域已取得的一些重要研究成果,最后对该问题最新的发展动向加以概括。     

带有结构突变的单位根检验 ——文献综述

单位根检验是时间序列分析的基础，而是否考虑结构突变对单位根检验的结论有着重要影响，因此，考虑结构突变的单位根检验已成为计量经济学界的一个前沿热点问题。本文回顾了这一问题的发展历史，总结了该领域已取得的一些重要研究成果，最后对该问题最新的发展动向加以概括。     

多种单位根检验法的比较研究

本文基于单位根检验基本原理,比较了5种单位根检验的方法,说明在小样本情况下,为提高检验功效,应针对数据生成过程的特点联合多种检验法进行检验。如果检验变量为非平稳,则需要进行进一步的结构突变检验,本文主张选用结构突变点内生的Perron检验法与外生检验法相结合来判断变量的平稳性。     

考虑结构突变的单位根检验程序研究——基于“新息异常值模型”的Perron检验分析

Perron检验是一种考虑结构突变的单位根检验方法,检验统计量的分布依赖于数据生成过程中所包含的确定性趋势和所选取的检验回归式;而在实证分析中真实的数据生成过程是未知的,这使得单位根检验缺乏必要依据,因而探寻科学有效的单位根检验程序是受到广泛关注的问题。基于此,本文在"IO模型"分析框架下,依据Perron检验提出了一套考虑结构突变的单位根检验程序,并通过蒙特卡洛模拟分析了该程序在有限样本情形下的表现。本研究完善了带有结构突变的单位根检验理论,为实证分析提供了有益的建议和参考。     

购买力平价与金融危机基于结构突变下的面板单位根检验

本文采用外生结构突变下面板数据单位根检验方法和传统的检验方法，比较研究了东南亚七国或地区的实际汇率受金融危机冲击的影响，发现东南亚七国或地区的实际汇率是带有结构突变的退势平稳过程，外生结构突变条件下的面板单位根检验结果支持购买力平价理论，实际汇率对购买力平价的背离是短期的：但在不考虑结构突变的情况下，却得出不同的结论，而蒙特卡洛模拟实验表明前者更为可信。     

"工匠精神"如何促进社会福利提升?

“工匠精神”的时代价值正得到越来越多的关注和认可,但“工匠精神”到底如何促进经济发展和福利提高,学界对此尚未深入揭示。本文通过理论机制分析和超边际模型构建,揭示了“工匠精神”的分工结构演进及福利效应,从而系统刻画了“工匠精神”的结构变迁与发展价值。研究发现,“工匠精神”是启动分工结构从自给自足向局部分工和完全分工演进的重要动力,而专业化、人力资本累积是其核心传导机制;当专业化经济程度和交易效率都很小时,经济处于自给自足阶段;当二者不断改进后,经济系统逐步进入局部分工的早期阶段;只有当二者都足够大时,局部分工才会直接跳跃为完全分工,否则经济系统将需经历局部分工过渡期而迂回升级为完全分工。除了结构变迁价值外,“工匠精神”促进分工结构演进的过程还具有提升商业化程度、扩大企业利润和消费者剩余、改进经济发展内生优势和可持续性以及提升人均收入的经济福利效应。本文为“工匠精神”的经济价值给出了一个微观解释,也为中国通过培育、沉淀和应用“工匠精神”促进经济发展和社会福利提升提供了新的理论视角和实践启示。     

人民币汇率购买力平价问题的重新研究——基于结构突变检验与变结构协整的视角

本文应用LM结构突变检验以及Gregory-Hansen等变结构协整方法,对人民币汇率购买力平价问题进行了重新研究。研究发现样本期内人民币汇率发生了两次结构突变,第一次发生在2005年7月,第二次发生在2006年12月。LM检验显示,发生了结构突变的汇率数据生成过程仍为单位根过程,意味着某些经济冲击确实对数据生成过程(DGP)产生了实质影响。进一步对比研究发现,在未考虑结构突变情况下,样本期内购买力平价不成立;但在考虑结构突变情况下,两种变结构协整方法都支持购买力平价成立。     

关于机理变化型变结构非线性协整的研究

变结构非线性协整是协整理论发展的必然的趋势,也是经济系统复杂多变的必然需求,文章补充了变结构非线性协整的定义,并提出了机理变化型变结构非线性协整,指出其本质问题即单位根的结构突变检验,总结了几种结构突变的单位根检验方法,讨论了变结构点的估计方法,给出了基于Chow统计量的变结构协整检验和建模方法。     

带结构突变的确定趋势的单位根检验方法——兼对中国工农业产品比价的实证分析

存在未知结构突变点的DGP关于结构突变的信息是不完全的,理论上不可能得到媲美标准ADF检验或Perron检验的统计特性,且Perron检验比标准ADF检验更适合于作为其单位根统计量的极限分布。本文以Perron(2009)方法为基础,结合minSSR和FGLS详细讨论结构突变的单位根检验的三个步骤,澄清了很多模糊的认识。以我国工农业产品比价和工农业产品价格指数为例,本文的实证研究发现,中国工农业利益分配格局的重大改变是由国际经济事件造成的冲击引起的。     

含结构突变的趋势平稳过程的虚假单位根研究

本文发现Perron（1989）在趋势突变情形下的结论“统计量的极限分布会随着突变点位置参数的变化收敛在0到1/2之间”值得商榷,原因在于模型设定中出现了错误,导致在结构突变的趋势平稳过程的数据生成过程下,统计量的极限分布在截距突变的情况下发散而在斜率突变的情况下退化。本文对其进行修正并补充推导了三种含结构突变的趋势平稳过程的单位根检验统计量的分布,并给出能够证实和证伪的蒙特卡洛模拟结果。     

Detection of Structural Change in the Long‐run Persistence in a Univariate Time Series*

In this paper, we investigate a test for structural change in the long‐run persistence in a univariate time series. Our model has a unit root with no structural change under the null hypothesis, while under the alternative it changes from a unit‐root process to a stationary one or vice versa. We propose a Lagrange multiplier‐type test, a test with the quasi‐differencing method, and ‘demeaned versions’ of these tests. We find that the demeaned versions of these tests have better finite‐sample properties, although they are not necessarily superior in asymptotics to the other tests.     

Nonlinear IV unit root tests in panels with cross-sectional dependency

We propose a unit root test for panels with cross-sectional dependency. We allow general dependency structure among the innovations that generate data for each of the cross-sectional units. Each unit may have different sample size, and therefore unbalanced panels are also permitted in our framework. Yet, the test is asymptotically normal, and does not require any tabulation of the critical values. Our test is based on nonlinear IV estimation of the usual augmented Dickey–Fuller type regression for each cross-sectional unit, using as instruments nonlinear transformations of the lagged levels. The actual test statistic is simply defined as a standardized sum of individual IV t-ratios. We show in the paper that such a standardized sum of individual IV t-ratios has limit normal distribution as long as the panels have large individual time series observations and are asymptotically balanced in a very weak sense. We may have the number of cross-sectional units arbitrarily small or large. In particular, the usual sequential asymptotics, upon which most of the available asymptotic theories for panel unit root models heavily rely, are not required. Finite sample performance of our test is examined via a set of simulations, and compared with those of other commonly used panel unit root tests. Our test generally performs better than the existing tests in terms of both finite sample sizes and powers. We apply our nonlinear IV method to test for the purchasing power parity hypothesis in panels.     

Unit root quantile autoregression testing using covariates

This paper extends unit root tests based on quantile regression proposed by Koenker and Xiao [Koenker, R., Xiao, Z., 2004. Unit root quantile autoregression inference, Journal of the American Statistical Association 99, 775–787] to allow stationary covariates and a linear time trend. The limiting distribution of the test is a convex combination of Dickey–Fuller and standard normal distributions, with weight determined by the correlation between the equation error and the regression covariates. A simulation experiment is described, illustrating the finite sample performance of the unit root test for several types of distributions. The test based on quantile autoregression turns out to be especially advantageous when innovations are heavy-tailed. An application to the CPI-based real exchange rates using four different countries suggests that real exchange rates are not constant unit root processes.     

Panel LM Unit‐root Tests with Level Shifts*

This paper proposes a new panel unit‐root test based on the Lagrangian multiplier (LM) principle. We show that the asymptotic distribution of the new panel LM test is not affected by the presence of structural shifts. This result holds under a mild condition that N/T→k, where k is any finite constant. Our simulation study shows that the panel LM unit‐root test is not only robust to the presence of structural shifts, but is more powerful than the popular Im, Pesaran and Shin (IPS) test. We apply our new test to the purchasing power parity (PPP) hypothesis and find strong evidence for PPP.     

Are unemployment rates in OECD countries stationary? Evidence from univariate and panel unit root tests

This paper revisits the dynamics of unemployment rate for 29 OECD countries over the period of 1980–2013. Numerous empirical studies of the dynamics of unemployment rate are carried out within a linear framework. However, unemployment rate can show nonlinear behaviour as a result of business cycles or some idiosyncratic factors specific to labour market (Cancelo, 2007). Thus, as a testing strategy, we first perform Harvey, Leybourne, and Xiao (2008) linearity unit root test and then apply the newly ESTAR nonlinear unit root test suggested by Kruse (2011). This test has higher power than conventional unit root tests when time series exhibits nonlinear behaviour. Our empirical findings provide significant evidence in favour of unemployment rate stationarity for 25 countries. For robustness purpose, we have also used panel unit root tests without and with structural breaks. The empirical results show that unemployment hysteresis hypothesis is strongly rejected, when taking into account the cross-sectional and structural break assumptions. Thus, unemployment rate is expected to return back to their natural levels without executing any costly macroeconomic labour market policies by the OECD’s governments.     

A Unit Root Test Using a Fourier Series to Approximate Smooth Breaks*

We develop a unit‐root test based on a simple variant of Gallant's (1981) flexible Fourier form. The test relies on the fact that a series with several smooth structural breaks can often be approximated using the low frequency components of a Fourier expansion. Hence, it is possible to test for a unit root without having to model the precise form of the break. Our unit‐root test employing Fourier approximation has good size and power for the types of breaks often used in economic analysis. The appropriate use of the test is illustrated using several interest rate spreads.     

International evidence on persistence in output in the presence of an episodic change

This paper uses some newly developed methods and techniques to examine the dynamic properties of international output in the presence of a structural break. We provide statistical evidence to show that the unit root test results can, in some cases, be sensitive to whether a one-time structural break in the data is modelled exogenously or endogenously. However, in most cases the unit root test results remain robust to specification of the structural break exogenously or endogenously; moreover, we find that the null hypothesis of a unit root in output can be rejected in favour of a ‘flexible’ trend alternative for a number of countries such as Canada, Denmark, France, and the United States.