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Asymptotic Distribution of the Moving Average Coefficients of an Estimated Vector Autoregressive Process

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  • Lütkepohl, Helmut

Abstract

The coefficients of the moving average (MA) representation of a vector autoregressive (VAR) process are the dynamic multipliers of the system. These quantities are often used to analyze the relationships between the variables involved. Assuming that the actual data generation process is stationary and has a VAR representation of unknown and possibly infinite order, the asymptotic distribution of the MA coefficients is derived. A computationally simple formula for the asymptotic co variance matrix is obtained.

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  • Lütkepohl, Helmut, 1988. "Asymptotic Distribution of the Moving Average Coefficients of an Estimated Vector Autoregressive Process," Econometric Theory, Cambridge University Press, vol. 4(1), pages 77-85, April.
    • Handle: RePEc:cup:etheor:v:4:y:1988:i:01:p:77-85_01
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    Cited by:

    1. John Galbraith & Aman Ullah & Victoria Zinde-Walsh, 2002. "Estimation Of The Vector Moving Average Model By Vector Autoregression," Econometric Reviews, Taylor & Francis Journals, vol. 21(2), pages 205-219.
    2. Richard T. Baillie & George Kapetanios & Fotis Papailias, 2017. "Inference for impulse response coefficients from multivariate fractionally integrated processes," Econometric Reviews, Taylor & Francis Journals, vol. 36(1-3), pages 60-84, March.
    3. 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.
    4. Walter Krämer, 2019. "Interview mit Helmut Lütkepohl," AStA Wirtschafts- und Sozialstatistisches Archiv, Springer;Deutsche Statistische Gesellschaft - German Statistical Society, vol. 13(1), pages 87-94, April.
    5. Theodoridis, Konstantinos, 2011. "An efficient minimum distance estimator for DSGE models," Bank of England working papers 439, Bank of England.

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