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Estimating multivariate heavy tails and principal directions easily, with an application to international exchange rates

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  • Tsionas, Efthymios G.

Abstract

In this paper, we consider the estimation of the tail indices of distributions in the domain of attraction of stable laws. We follow the approach of Meerschaert and Scheffler (1999), which requires exclusively the spectral decomposition of the uncentered sample moment matrix containing the moments of a collection of time series. The technique is applied successfully to ten major currencies, using daily data over the period 1996–2012.

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Bibliographic Info

Article provided by Elsevier in its journal Statistics & Probability Letters.

Volume (Year): 82 (2012)
Issue (Month): 11 ()
Pages: 1986-1989

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Handle: RePEc:eee:stapro:v:82:y:2012:i:11:p:1986-1989

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Related research

Keywords: Multivariate stable distributions; Tail dependence; Principal directions;

References

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  1. Meerschaert, Mark M. & Scheffler, Hans-Peter, 1999. "Moment Estimator for Random Vectors with Heavy Tails," Journal of Multivariate Analysis, Elsevier, vol. 71(1), pages 145-159, October.
  2. McCulloch, J Huston, 1997. "Measuring Tail Thickness to Estimate the Stable Index Alpha: A Critique," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(1), pages 74-81, January.
  3. repec:att:wimass:9208 is not listed on IDEAS
  4. B. N. Cheng & S. T. Rachev, 1995. "Multivariate Stable Futures Prices," Mathematical Finance, Wiley Blackwell, vol. 5(2), pages 133-153.
  5. Loretan, Mico & Phillips, Peter C. B., 1994. "Testing the covariance stationarity of heavy-tailed time series: An overview of the theory with applications to several financial datasets," Journal of Empirical Finance, Elsevier, vol. 1(2), pages 211-248, January.
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