Extremes: Limit Results for Univariate and Multivariate Nonstationary Sequences

  • Jürg Hüsler

Abstract

We review the limiting behaviour of extremes and exceedances of univariate and multivariate nonstationary random sequences. The approach we present is based on an extension of the methods in the stationary case. It is extended also for any visits of the random sequence to some rare set, instead of the usual set (u n , ∞). We discuss some special cases as normal, periodic and independent sequences and review also the dependence structure of the components of the multivariate maxima.

Keywords

Covariance Ozone Berman 

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Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • Jürg Hüsler
    • 1
  1. 1.Dept. of Math. StatisticsUniversity of BernBernSwitzerland

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