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Nonlinear innovations and impulse responses

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Author Info
Gourieroux, Christian
Jasiak, Joanna

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Abstract

This paper introduces a concept of innovation for the analysis of nonlinear dynamics. We show that nonlinear processes can be represented as functions of current and lagged values of such innovations. The residuals from nonlinear dynamic models axe used to construct various specification tests. We define and study nonlinear impulse response functions to transitory and permanent shocks.

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Paper provided by CEPREMAP in its series CEPREMAP Working Papers (Couverture Orange) with number 9906.

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Length: 37 pages
Date of creation: 1999
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Handle: RePEc:cpm:cepmap:9906

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C5 - Mathematical and Quantitative Methods - - Econometric Modeling

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Lutkepohl, Helmut & Saikkonen, Pentti, 1997. "Impulse response analysis in infinite order cointegrated vector autoregressive processes," Journal of Econometrics, Elsevier, vol. 81(1), pages 127-157, November. [Downloadable!] (restricted)
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  2. Francis X. Diebold & Todd A. Gunther & Anthony S. Tay, 1997. "Evaluating Density Forecasts," Center for Financial Institutions Working Papers 97-37, Wharton School Center for Financial Institutions, University of Pennsylvania. [Downloadable!]
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  3. Olivier Jean Blanchard & Danny Quah, 1990. "The Dynamic Effects of Aggregate Demand and Supply Disturbances," NBER Working Papers 2737, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  4. Bosq, D. & Guégan, D., 1995. "Nonparametric estimation of the chaotic function and the invariant measure of a dynamical system," Statistics & Probability Letters, Elsevier, vol. 25(3), pages 201-212, November. [Downloadable!] (restricted)
  5. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January. [Downloadable!] (restricted)
  6. Granger, Clive W J, 1995. "Modelling Nonlinear Relationships between Extended-Memory Variables," Econometrica, Econometric Society, vol. 63(2), pages 265-79, March. [Downloadable!] (restricted)
  7. Gallant, A Ronald & Rossi, Peter E & Tauchen, George, 1993. "Nonlinear Dynamic Structures," Econometrica, Econometric Society, vol. 61(4), pages 871-907, July. [Downloadable!] (restricted)
  8. Sims, Christopher A, 1972. "Money, Income, and Causality," American Economic Review, American Economic Association, vol. 62(4), pages 540-52, September. [Downloadable!] (restricted)
  9. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Jonathan B. Hill, 2004. "Strong Orthogonal Decompositions and Nonlinear Impulse Response Functions for Infinite-Variance Processes," Working Papers 0408, Florida International University, Department of Economics. [Downloadable!]
    Other versions:
  2. Joann Jasiak, 1996. "Persistence in Intertrade Durations," Working Papers 1999_8, York University, Department of Economics, revised Mar 1999. [Downloadable!]
  3. Chesher, Andrew & Dhaene, Geert & GouriŽroux, Christian & Scaillet, Olivier, 1999. "Bartlett Identities Tests," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1999019, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES). [Downloadable!]
    Other versions:
    • Andrew Chesher ; Geert Dhaene ; Christian Gourieroux ; Olivier Scaillet, . "Bartlett Identities Tests," Working Papers 99-32, Centre de Recherche en Economie et Statistique. [Downloadable!]
    • CHESHER, Andrew & DHAENE, Geert & GOURIEROUX, Christian & SCAILLET, Olivier, 1999. "Bartlett identities tests," CORE Discussion Papers 1999039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE). [Downloadable!]
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