LIMITED TIME SERIES WITH A UNIT ROOT
取值范围受限的单位根时间序列AI 解读 ↓
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AI 根据所提供的论文材料归类：摘要直接研究受取值范围约束的积分过程、单位根分布及单位根检验。
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取值范围受限的单位根时间序列
- 研究问题
- 当时间序列因构造或控制而受到取值范围约束时，积分与近积分过程的单位根估计和检验会发生怎样的变化？
- 方法与思路
- 作者建立受限积分过程的渐近框架，引入有界单位根分布，以两个可一致估计的非中心参数衡量范围约束的影响。
- 材料陈述的贡献
- 摘要称，范围约束可显著改变标准单位根渐近结果；论文给出稳健检验扩展，并报告新框架能近似相关有限样本性质。
- 阅读关注点
- 应核对范围约束的建模方式、两个非中心参数的估计，以及稳健检验的临界值和有限样本近似评价方法。
- 阅读边界
- 仅据所给出版社摘要，无法判断约束形式和理论条件；致谢提及汇率数据，但未说明应用设计、估计结果或经济结论。
原文摘要
This paper develops an asymptotic theory for integrated and near-integrated time series whose range is constrained in some ways. Such a framework arises when integration and cointegration analyses are applied to time series that are bounded either by construction or because they are subject to control. The asymptotic properties of some commonly used integration tests are discussed; the bounded unit root distribution is introduced to describe the limiting distribution of the sample first-order autoregressive coefficient of a random walk under range constraints. The theoretical results show that the presence of such constraints can lead to drastically different asymptotics. Because deviations from the standard unit root theory are measured through two noncentrality parameters that can be consistently estimated, simple measures of the impact of range constraints on the asymptotic distributions are obtained. Generalizations of standard unit root tests that are robust to the presence of range constraints are also provided. Finally, it is shown that the proposed asymptotic framework provides an adequate approximation to the finite-sample properties of the unit root statistics under range constraints.Partial financial support from Italian MIUR grants is gratefully acknowledged. I thank, without implicating, Pentti Saikkonen (the co-editor), an anonymous referee, Attilio Gardini, Martin Jacobsen, Robert de Jong, Paolo Paruolo, Anders Rahbek, and participants at the 58th European Meeting of the Econometric Society, Stockholm, August 21–24, 2003, for helpful comments. I also thank the Bank of International Settlements for providing the European monetary system exchange rate data.