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Asymptotic Distributions of Impulse Responses, Step Responses, and Variance Decompositions of Estimated Linear Dynamic Models

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Author Info
Mittnik, Stefan
Zadrozny, Peter A

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Abstract

Formulas are derived for computing asymptotic covariance matrices of sets of impulse responses, step responses, or variance decompositions of estimated dynamic simultaneous-equations models in vector autoregressive moving-average (VARMA) form. Computed covariances would be used to test linear restrictions on sets of impulse responses, step responses, or variance decompositions. The results unify and extend previous formulas to handle any model in VARMA form, provide accurate computations based on analytic derivates, and provide insights into the structures of the asymptotic covariances. Copyright 1993 by The Econometric Society.

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Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 61 (1993)
Issue (Month): 4 (July)
Pages: 857-70
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Handle: RePEc:ecm:emetrp:v:61:y:1993:i:4:p:857-70

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  1. Uhlig, Harald, 1999. "What are the Effects of Monetary Policy on Output? Results from an Agnostic Identification Procedure," CEPR Discussion Papers 2137, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  2. K.S.E.M. Hubrich & P.J.G. Vlaar, 2000. "Germany and the euro area: differences in the transmission process of monetary policy," WO Research Memoranda (discontinued) 613, Netherlands Central Bank, Research Department. [Downloadable!]
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  3. Carl Chiarella & Willi Semmler & Stefan Mittnik & Peiyuan Zhu, 2002. "Stock Market, Interest Rate and Output: A Model and Estimation for US Time Series Data," Studies in Nonlinear Dynamics & Econometrics, Berkeley Electronic Press, vol. 6(1), pages 1001-1001. [Downloadable!] (restricted)
  4. Christopher A. Sims & Tao Zha, 1994. "Error Bands for Impulse Responses," Cowles Foundation Discussion Papers 1085, Cowles Foundation, Yale University. [Downloadable!]
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