UNBALANCED COINTEGRATION
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分类依据与纠错
AI 根据所提供的论文材料归类：摘要明确围绕分数单整、近协整及二元序列的协整参数估计展开，因此直接属于时间序列方向。
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不平衡协整
- 研究问题
- 当两个序列的分数单整阶数近似相同或真正不同时，如何理解协整关系并估计相应的协整参数？
- 方法与思路
- 作者在二元框架中分析阶数差异渐近可忽略的近协整，再讨论阶数真正不同但平衡化版本协整时的参数估计。
- 材料陈述的贡献
- 摘要称分析近协整下标准估计量的性质，并讨论真正不同单整阶数下的估计问题，辅以有限样本模拟和模拟序列。
- 阅读关注点
- 核对阶数差异趋零的速度、平衡化的定义与实施方法，以及协整参数的含义、估计条件和两种情形的区别。
- 阅读边界
- 仅据所给 OpenAlex 摘要，不能认定原始不同阶数序列直接满足通常协整定义；具体估计法、条件和模拟数值未说明。
原文摘要
Recently, increasing interest in the issue of fractional cointegration has emerged from theoretical and empirical viewpoints. Here, as opposed to the traditional prescription of unit root observables with weak dependent cointegrating errors, the orders of integration of these series are allowed to take real values, but, as in the traditional framework, equality of the orders of at least two observable series is necessary for cointegration. This assumption, in view of the real-valued nature of these orders, could pose some difficulties, and in the present paper we explore some ideas related to this issue in a simple bivariate framework. First, in a situation of “near-cointegration,” where the only difference with respect to the “usual” fractional cointegration is that the orders of the two observable series differ in an asymptotically negligible way, we analyze properties of standard estimates of the cointegrating parameter. Second, we discuss the estimation of the cointegrating parameter in a situation where the orders of integration of the two observables are truly different but their corresponding balanced versions (with same order of integration) are cointegrated in the usual sense. A Monte Carlo study of finite-sample performance and simulated series is included.I thank Adrian Pagan, James Davidson, and seminar participants at the 2004 Econometric Society European Meeting and the 2004 Simposio de Análisis Económico for helpful comments. I also thank two referees and a co-editor whose comments led to improvements of the paper. This research was supported by the Spanish Ministerio de Educación y Ciencia through a contract Juan de la Cierva and ref. SEJ2005-07657/ECON, and also by the Universidad de Navarra, ref. 16037001.