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Long memory, fractional integration, and cross-sectional aggregation

长记忆、分数阶单整与横截面聚合

It is commonly argued that observed long memory in time series variables can result from cross-sectional aggregation of dynamic heterogeneous micro units. In this paper we demonstrate that the aggregation argument is consistent with a range of different long memory definitions. A simulation study shows that the cross-section dimension needs to be rather large to reflect the theoretical memory when using commonly used methods to estimate the memory parameter, especially when…

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Common Periodic Correlation Features and the Interaction of Stocks and Flows in Daily Airport Data

共同周期相关特征与机场日度数据中的存量和流量互动

We propose the multivariate representation of univariate and bivariate (possibly nonstationary) periodic models as a benchmark for the imposition of common periodic correlation (CPC) feature restrictions to obtain parameter parsimony. CPCs are short-run common dynamic features that co-vary across the different days of the week and possibly also across weeks and that can be common across different time series. We also show how periodic models can be used to describe…

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A regime switching long memory model for electricity prices

电价的状态转换长记忆模型

In this paper we develop a regime switching model which can generate long memory (fractional integration) in each of the regime states. This property is relevant in a number of cases. For instance, the deregulated market for electricity power in the Nordic countries is characterized by electricity spot prices with a high degree of long memory. It occurs that in some time periods bilateral prices are identical whereas in other periods the prices differ. The latter occurs when…

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REGRESSION THEORY FOR NEARLY COINTEGRATED TIME SERIES

近协整时间序列的回归理论

This paper proposes a notion of near cointegration and generalizes several existing results from the cointegration literature to the case of near cointegration. In particular, the properties of conventional cointegration methods under near cointegration are characterized, thereby investigating the robustness of cointegration methods. In addition, we obtain local asymptotic power functions of five cointegration tests that take cointegration as the null hypothesis.

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Estimating the LQAC model with I(2) variables

含I(2)变量的线性二次调整成本模型估计

This paper derives a method for estimating and testing the Linear Quadratic Adjustment Cost (LQAC) model when the target variable and some of the forcing variables follow I(2) processes. Based on a forward-looking error-correction formulation of the model it is shown how to obtain strongly consistent estimates of the structural parameters from both a linear and a non-linear cointegrating regression where first-differences of the I(2) variables are included as regressors…

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The Effects of Additive Outliers on Tests for Unit Roots and Cointegration

加性异常值对单位根与协整检验的影响

This paper discusses the properties of the univariate Dickey-Fuller test and the Johansen test for the cointegrating rank when there exist additive outlying observations in the time series. The authors provide analytical as well as numerical evidence that additive outliners may produce spurious stationarity. The results easily generalize to models with 'temporary change' outliers. Through an empirical example, the authors discuss how additive and temporary change outliers…

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Semiparametric Tests for Double Unit Roots

双重单位根的半参数检验

In this article, I argue that if an explosive root is considered a serious alternative to an I(2) process, then joint testing for the number of unit roots along the lines of Hasza and Fuller is preferable instead of prior differencing as suggested by Dickey and Pantula. A semiparametric equivalent of the Hasza-Fuller test that permits rather general assumptions about the innovation process is developed. The test is a straightforward generalization of the Phillips Z test for…

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