Detecting a conditional extrme value model

Details Detecting a conditional extrme value model Detecting a conditional extrme value model

2009-02-17

arxiv.org/abs/0902.2996v1

Mathematics

Statistics Theory

21 pages, 4 figures

Scientific paper

10.1007/s10687-009-0097-3

In classical extreme value theory probabilities of extreme events are estimated assuming all the components of a random vector to be in a domain of attraction of an extreme value distribution. In contrast, the conditional extreme value model assumes a domain of attraction condition on a sub-collection of the components of a multivariate random vector. This model has been studied in \cite{heffernan:tawn:2004,heffernan:resnick:2007,das:resnick:2008a}. In this paper we propose three statistics which act as tools to detect this model in a bivariate set-up. In addition, the proposed statistics also help to distinguish between two forms of the limit measure that is obtained in the model.

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