We propose a new methodology for the analysis of impulse response functions in VAR or VARMA models. More precisely, we build our results on the non ambiguous notion of innovation of a stochastic process and we consider the impact of any kind of new information at a given date $t$ on the future values of the process. This methodology allows to take into account qualitative or quantitative information, either on the innovation or on the future responses, as well as informations on filters. We show, among other results, that our approach encompasses several standard methodologies found in the literature, such as the orthogonalization of shocks (Sims (1980)), the "structural" identification of shocks (Blanchard and Quah (1989)), the "generalized" impulse responses (Pesaran and Shin (1998)) or the impulse vectors (Uhlig (2005)).
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Paper provided by Banque de France in its series Documents de Travail with number
235.
References listed on IDEAS 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.:
Sims, Christopher A, 1980.
"Macroeconomics and Reality,"
Econometrica,
Econometric Society, vol. 48(1), pages 1-48, January.
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Gallant, A Ronald & Rossi, Peter E & Tauchen, George, 1993.
"Nonlinear Dynamic Structures,"
Econometrica,
Econometric Society, vol. 61(4), pages 871-907, July.
[Downloadable!] (restricted)