Modelling extreme values by the residual coefficient of variation
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How to Cite

del Castillo, Joan; Padilla, Maria. “Modelling extreme values by the residual coefficient of variation”. SORT-Statistics and Operations Research Transactions, 2016, vol.VOL 40, no. 2, pp. 303-20, https://raco.cat/index.php/SORT/article/view/316240.


Abstract

The possibilities of the use of the coefficient of variation over a high threshold in tail modelling are discussed. The paper also considers multiple threshold tests for a generalized Pareto distribution, together with a threshold selection algorithm. One of the main contributions is to extend the methodology based on moments to all distributions, even without finite moments. These techniques are applied to euro/dollar daily exchange rates and to Danish fire insurance losses.

Keywords

  • Statistics of extremes
  • heavy tails
  • high quantile estimation
  • value at risk
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