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The Geometric Meaning of the Notion of Joint Unpredictability of a Bivariate VAR(1) Stochastic Process

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  • Umberto Triacca

    (Department of Computer Engineering, Computer Science and Mathematics, University of L'Aquila,Via Vetoio I-67010 Coppito, L'Aquila, I-67100, Italy)

Abstract

This paper investigates, in a particular parametric framework, the geometric meaning of joint unpredictability for a bivariate discrete process. In particular, the paper provides a characterization of the joint unpredictability in terms of distance between information sets in an Hilbert space.

Suggested Citation

  • Umberto Triacca, 2013. "The Geometric Meaning of the Notion of Joint Unpredictability of a Bivariate VAR(1) Stochastic Process," Econometrics, MDPI, vol. 1(3), pages 1-10, November.
    • Handle: RePEc:gam:jecnmx:v:1:y:2013:i:3:p:207-216:d:30449
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    References listed on IDEAS

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    1. Caporale, G. M. & Pittis, N., 1998. "Cointegration and predictability of asset prices1," Journal of International Money and Finance, Elsevier, vol. 17(3), pages 441-453, June.
    2. Granger, Clive W J, 1986. "Developments in the Study of Cointegrated Economic Variables," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 213-228, August.
    3. Hassapis, Christis & Kalyvitis, Sarantis & Pittis, Nikitas, 1999. "Cointegration and joint efficiency of international commodity markets," The Quarterly Review of Economics and Finance, Elsevier, vol. 39(2), pages 213-231.
    4. Focker, Fulvia & Triacca, Umberto, 2006. "Interpreting the concept of joint unpredictability of asset returns: A distance approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 765-770.
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