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Original Articles

Robust portfolio estimation under skew-normal return processes

, , , &
Pages 1091-1112 | Received 15 Dec 2010, Accepted 09 Nov 2011, Published online: 06 Feb 2012

REFERENCES

  • Adcock, C.J., and K. Shutes. 1999. Portfolio selection based on the multivariate skew-normal distribution. In Financial modelling – proceedings of the 23rd meeting of the EURO working group on financial modelling, Cracow, October 8–10, 1998, ed. A M.J. Skulimowski, 35–60. Kraków: Progress & Business Publishers.
  • Adcock, C.J., and K. Shutes. 2005. An analysis of skewness and skewness persistence in three emerging markets. Emerging Markets Review 6, no. 4: 396–418.
  • Ait-Sahalia, Y., P.A. Mykland, and L. Zhang. 2011. Ultra high frequency volatility estimation with dependent microstructure noise. Journal of Econometrics 160, no. 1: 160–75.
  • Azzalini, A. 1985. A class of distributions which includes the normal ones. Scandinavian Journal of Statistics 12, no. 2: 171–8.
  • Azzalini, A., and A. Capitanio. 1999. Statistical applications of the multivariate skew normal distribution. Journal of the Royal Statistical Society, Series B 61, no. 3: 579–602.
  • Azzalini, A., and A. Dalla Valle. 1996. The multivariate skew-normal distribution. Biometrika 83, no. 4: 715–26.
  • Brockwell, P.J., and R.A. Davis. 2009. Time series: Theory and methods. New York: Springer.
  • Cont, R., and P. Tankov. 2003. Financial modelling with Jump processes. New York: Chapman and Hall.
  • DiCiccio, T.J., and A.C. Monti. 2004. Inferential aspects of the skew exponential power distribution. Journal of the American Statistical Association 99, no. 466: 439–50.
  • Eberlein, E., and U. Keller. 1995. Hyperbolic distributions in finance. Bernoulli 1, no. 3: 281–99.
  • Genton, M.G., L. He, and X. Lui. 2001. Moments of skew-normal random vectors and their quadratic forms. Statistics & Probability Letters 51, no. 4: 319–25.
  • Gourieroux, C., and J. Jasiak. 2001. Financial econometrics: Problems, models, and methods. Princeton, NJ: Princeton University Press.
  • Hogg, R.V., J.W. McKean, and A.T. Craig. 2005. Introduction to mathematical statistics, 6th ed. Englewood Cliffs, NJ: Prentice Hall.
  • Loperfido, N. 2001. Quadratic forms of skew-normal random vectors. Statistics and Probability Letters 54, no. 4: 381–7.
  • Prause, K. 1999. The generalized hyperbolic model: Estimation, financial derivatives, and risk measures. Phd diss., Abteilung für Mathematische Stochastik, Freiburg University, Freiberg, Germany.
  • Rydberg, T.H. 2000. Realistic statistical modelling of financial data. International Statistical Review 68, no. 3: 233–58.
  • Shiraishi, H., and M. Taniguchi. 2007. Statistical estimation of optimal portfolios for locally stationary returns of assets. International Journal of Theoretical and Applied Finance 10, no. 1: 129–54.
  • Shiraishi, H., and M. Taniguchi. 2008. Statistical estimation of optimal portfolios for non-gaussian dependent returns of assets. Journal of Forecasting 27, no. 3: 193–215.
  • Taniguchi, M., and Y. Kakizawa. 2000. Asymptotic theory of statistical inference for time series. New York: Springer.

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