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Ordering the dispersion of ordinary least squares under near-integration

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  • Bailey, Ralph W.
  • Burridge, Peter

Abstract

Suppose that the Ordinary Least Squares regressors X follow a vector Ornstein-Uhlenbeck process, with growth matrix bA. The limiting sample variance matrix V is of interest. If A=kI, k[greater-or-equal, slanted]0, then [not partial differential]V/[not partial differential]b[greater-or-equal, slanted]0. Remarkably, this inequality can fail for any other A.

Suggested Citation

  • Bailey, Ralph W. & Burridge, Peter, 2007. "Ordering the dispersion of ordinary least squares under near-integration," Statistics & Probability Letters, Elsevier, vol. 77(6), pages 594-597, March.
    • Handle: RePEc:eee:stapro:v:77:y:2007:i:6:p:594-597
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    References listed on IDEAS

    as
    1. Phillips, Peter C B, 1988. "Regression Theory for Near-Integrated Time Series," Econometrica, Econometric Society, vol. 56(5), pages 1021-1043, September.
    2. Bailey, Ralph W. & Burridge, Peter & Nandeibam, Shasikanta, 2001. "An Integral Inequality On C([0,1]) And Dispersion Of Ols Under Near-Integration," Econometric Theory, Cambridge University Press, vol. 17(2), pages 471-474, April.
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    Keywords

    Ornstein-Uhlenbeck Near-integration;

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