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A Note on Estimating Wishart Autoagressive Model

Author

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  • Roxana Halbleib

Abstract

This note solves the puzzle of estimating degenerate Wishart Autoagressive processes, introduced by Gourieroux, Jasiak and Sufana (2009)to model multivariate stochastic volatility. It derives the asymptotic and empirical properties of the Method of Moment estimator of the Wishart degrees of freedom subject to different stationarity asumptions and specific distributional settings of the underlying processes.

Suggested Citation

  • Roxana Halbleib, 2010. "A Note on Estimating Wishart Autoagressive Model," Working Papers ECARES ECARES 2010-043, ULB -- Universite Libre de Bruxelles.
  • Handle: RePEc:eca:wpaper:2013/73606
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    References listed on IDEAS

    as
    1. Shanken, Jay, 1992. " The Current State of the Arbitrage Pricing Theory," Journal of Finance, American Finance Association, vol. 47(4), pages 1569-1574, September.
    2. Jose A. Scheinkman & Wei Xiong, 2003. "Overconfidence and Speculative Bubbles," Journal of Political Economy, University of Chicago Press, vol. 111(6), pages 1183-1219, December.
    3. Alberto Giovannini & Philippe Weil, 1989. "Risk Aversion and Intertemporal Substitution in the Capital Asset Pricing Model," NBER Working Papers 2824, National Bureau of Economic Research, Inc.
    4. George Chacko & Luis M. Viceira, 2005. "Dynamic Consumption and Portfolio Choice with Stochastic Volatility in Incomplete Markets," Review of Financial Studies, Society for Financial Studies, vol. 18(4), pages 1369-1402.
    5. Lei, Vivian & Noussair, Charles N & Plott, Charles R, 2001. "Nonspeculative Bubbles in Experimental Asset Markets: Lack of Common Knowledge of Rationality vs. Actual Irrationality," Econometrica, Econometric Society, vol. 69(4), pages 831-859, July.
    6. Shanken, Jay, 1982. " The Arbitrage Pricing Theory: Is It Testable?," Journal of Finance, American Finance Association, vol. 37(5), pages 1129-1140, December.
    7. Kandel, Eugene & Pearson, Neil D, 1995. "Differential Interpretation of Public Signals and Trade in Speculative Markets," Journal of Political Economy, University of Chicago Press, vol. 103(4), pages 831-872, August.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Wishart autoagressive process; asymptotic properties; realized covariance; log-normal distribution;

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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