Some aspects of extreme value theory under serial dependence

Details Some aspects of extreme value theory under serial dependence Some aspects of extreme value theory under serial dependence

2007-10-31

arxiv.org/abs/0710.5879v1

Mathematics

Statistics Theory

to be published in Extremes

Scientific paper

On the occasion of Laurens de Haan's 70th birthday, we discuss two aspects of the statistical inference on the extreme value behavior of time series with a particular emphasis on his important contributions. First, the performance of a direct marginal tail analysis is compared with that of a model-based approach using an analysis of residuals. Second, the importance of the extremal index as a measure of the serial extremal dependence is discussed by the example of solutions of a stochastic recurrence equation.

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