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Mandelbrot's extremism

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Author Info
Beirlant, J.
Schoutens, W.
Segers, J.J.J. (Tilburg University, Center for Economic Research)
Abstract

In the sixties Mandelbrot already showed that extreme price swings are more likely than some of us think or incorporate in our models. A modern toolbox for analyzing such rare events can be found in the field of extreme value theory. At the core of extreme value theory lies the modelling of maxima over large blocks of observations and of excesses over high thresholds. The general validity of these models makes them suitable for out-of-sample extrapolation. By way of illustration we assess the likeliness of the crash of the Dow Jones on October 19, 1987, a loss that was more than twice as large as on any other single day from 1954 until 2004.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 125.

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Date of creation: 2004
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Handle: RePEc:dgr:kubcen:2004125

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods

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  1. Christopher A. T. Ferro & Johan Segers, 2003. "Inference for clusters of extreme values," Journal Of The Royal Statistical Society Series B, Royal Statistical Society, vol. 65(2), pages 545-556. [Downloadable!] (restricted)
  2. Benoit Mandelbrot, 1967. "The Variation of Some Other Speculative Prices," Journal of Business, University of Chicago Press, vol. 40, pages 393. [Downloadable!]
  3. Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," Journal of Business, University of Chicago Press, vol. 36, pages 394. [Downloadable!]
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This page was last updated on 2009-12-21.


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