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Sample Partial Autocorrelation Function of a Multivariate Time Series

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  • Degerine, S.

Abstract

The choice of a matrix square root in order to define a correlation coefficient is crucial for the notion of partial autocorrelation function (PACF) for a multivariate time series. Here this topic is revisited and, introducing a new matrix link coefficient between two random vectors, a general framework for estimating the PACF is given. This leads to new autoregressive estimation methods based on sample estimators of the partial autocorrelation coefficients. Moreover, some generalizations of the scalar Burg's technique fit in this framework making the comparison of all these methods easier.

Suggested Citation

  • Degerine, S., 1994. "Sample Partial Autocorrelation Function of a Multivariate Time Series," Journal of Multivariate Analysis, Elsevier, vol. 50(2), pages 294-313, August.
  • Handle: RePEc:eee:jmvana:v:50:y:1994:i:2:p:294-313
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    Cited by:

    1. Castro, Glaysar & Girardin, Valerie, 2002. "Maximum of entropy and extension of covariance matrices for periodically correlated and multivariate processes," Statistics & Probability Letters, Elsevier, vol. 59(1), pages 37-52, August.

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