Extremes of stochastic volatility models

  title={Extremes of stochastic volatility models},
  author={Richard A. Davis and Thomas Mikosch},
  journal={Annals of Applied Probability},
We consider extreme value theory for stochastic volatility processes in both cases of light-tailed and heavy-tailed noise. First, the asymptotic behavior of the tails of the marginal distribution is described for the two cases when the noise distribution is Gaussian or heavy-tailed. The sequence of point processes, based on the locations of the suitable normalized observations from a stochastic volatility process, converges in distribution to a Poisson process. From the point process… 
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