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Co-integration, Error Correction, and the Econometric Analysis of Non-Stationary Data$
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Anindya Banerjee, Juan J. Dolado, John W. Galbraith, and David Hendry

Print publication date: 1993

Print ISBN-13: 9780198288107

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0198288107.001.0001

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PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use.date: 02 July 2022

Properties of Integrated Processes

Properties of Integrated Processes

(p.69) 3 Properties of Integrated Processes
Co-integration, Error Correction, and the Econometric Analysis of Non-Stationary Data

Anindya Banerjee (Contributor Webpage)

Juan J. Dolado

John W. Galbraith (Contributor Webpage)

David F. Hendry (Contributor Webpage)

Oxford University Press

Presents the important properties of integrated variables and sets out some of the preliminary asymptotic theories essential for the consideration of such processes. It explores the concepts of unit roots, non‐stationarity, orders of integration, and near integration, and demonstrates the use of the theory in understanding the behaviour of least‐squares estimators in spurious regressions and in models involving integrated data. The theoretical analysis is accompanied by evidence from Monte Carlo simulations. Several examples are also provided to illustrate the use of Wiener distribution theory in deriving asymptotic results for such models.

Keywords:   asymptotic theory, Monte Carlo simulation, near integration, non‐stationarity, orders of integration, random walks, regression models, spurious regression Wiener distribution theory, unit roots

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