In this chapter we present an overview of the main ideas and methods in the fractional integration and cointegration literature. We do not attempt to give a complete survey of this enormous literature, but rather a more introductory treatment suitable for a researcher or graduate student wishing to learn about this exciting field of research. With this aim, we have surely overlooked many relevant references for which we apologize in advance. Knowledge of standard time series methods, and in particular methods related to nonstationary time series, at the level of a standard graduate course or advanced undergraduate course is assumed.
翻译:在本章中,我们综述了分数整合和融合文献中的主要思想和方法,我们并不试图对这一巨大的文献进行彻底的调查,而是要对希望了解这一令人振奋的研究领域的研究人员或研究生进行更适当的介绍性处理,为此,我们确实忽略了许多相关的参考资料,我们事先对此表示歉意。我们假定在标准研究生课程或高级本科课程一级了解标准时间序列方法,特别是非静止时间序列方法。