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Bootstrapping Autoregressive and Moving Average Parameter Estimates of Infinite Order Vector Autoregressive Processes

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  • Paparoditis, Efstathios
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    Abstract

    We consider anr-dimensional multivariate time series {yt, t[set membership, variant]Z} which is generated by an infinite order vector autoregressive process. We show that a bootstrap procedure which works by generating time series replicates via an estimated finitek-order vector autoregressive process (k-->[infinity] at an appropriate rate with the sample size) gives asymptotically valid approximations to the joint distribution of the growing set of estimated autoregressive coefficients and to the corresponding set of estimated moving average coefficients (impuls responses).

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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Multivariate Analysis.

    Volume (Year): 57 (1996)
    Issue (Month): 2 (May)
    Pages: 277-296

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    Handle: RePEc:eee:jmvana:v:57:y:1996:i:2:p:277-296

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    Related research

    Keywords: bootstrap parameter estimates infinite order vector autoregressions autoregressive coefficients moving average coefficients;

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