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Modelling Nonlinear Relationships between Extended-Memory Variables

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Granger, Clive W J

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Abstract

A definition of extended memory is provided, generalizing the ideas of long memory and persistence, based on the properties of forecasts over long horizons. Specification of nonlinear models with variables having extended memory is considered in terms of the balance of an equation and it is suggested that many more types of misspecification can occur than with usual situations and could produce important specification errors. Tests of linearity and standard methods of nonlinear modeling are briefly considered and advice is given on circumstances in which they can be used. Copyright 1995 by The Econometric Society.

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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 63 (1995)
Issue (Month): 2 (March)
Pages: 265-79
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Handle: RePEc:ecm:emetrp:v:63:y:1995:i:2:p:265-79

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  1. Douglas Fisher & Adrian R. Fleissig & Apostolos Serletis, 2001. "An empirical comparison of flexible demand system functional forms," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(1), pages 59-80. [Downloadable!]
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  3. Gourieroux, Christian & Jasiak, Joanna, 1999. "Nonlinear innovations and impulse responses," CEPREMAP Working Papers (Couverture Orange) 9906, CEPREMAP. [Downloadable!]
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  4. H. Karlsen & T. Myklebust & D. Tjostheim, . "Nonparametric Estimation in a Nonlinear Cointegration Type Model," Sonderforschungsbereich 373 2000-33, Humboldt Universitaet Berlin.
  5. Yann Schorderet, 2003. "Asymmetric Cointegration," Cahiers du Département d'Econométrie 2003.01, Département d'Econométrie, Université de Genève. [Downloadable!]
  6. Prasad Bidarkota & Khurshid M. Kiani, 2003. "On Business Cycle Asymmetries in G7 Countries," Working Papers 0308, Florida International University, Department of Economics. [Downloadable!]
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  7. Seung Hyun Hong & Peter C. B. Phillips, 2005. "Testing Linearity in Cointegrating Relations with an Application to Purchasing Power Parity," Cowles Foundation Discussion Papers 1541, Cowles Foundation, Yale University. [Downloadable!]
  8. Yann Schorderet, 2002. "A Nonlinear Generalization of Cointegration : A Note on Hidden Cointegration," Cahiers du Département d'Econométrie 2002.03, Département d'Econométrie, Université de Genève. [Downloadable!]
  9. Peter Sephton, 2001. "Forecasting recessions: can we do better on MARS?," Review, Federal Reserve Bank of St. Louis, issue Mar, pages 39-49. [Downloadable!]
  10. Gourieroux, Christian & Josiak, Joann, 1999. "Nonlinear persistence and copersistence," CEPREMAP Working Papers (Couverture Orange) 9920, CEPREMAP. [Downloadable!]
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  11. Mustapha Baghli, 2004. "Modelling the FF/MM rate by threshold cointegration analysis," Applied Economics, Taylor and Francis Journals, vol. 36(6), pages 533-548, April. [Downloadable!] (restricted)
  12. repec:att:wimass:199719 is not listed on IDEAS
  13. William A. Barnett & Apostolos Serletis, 1998. "Martingales, Nonlinearity, and Chaos," Econometrics 9805003, EconWPA. [Downloadable!]
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  14. Felipe M. Aparicio Acosta, 2003. "On The Record Properties Of Integrated Time Series," Statistics and Econometrics Working Papers ws036414, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
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