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Bayes Quantile Estimation and Threshold Selection for the Generalized Pareto Family

In: Extreme Value Theory and Applications

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  • James Pickands III

    (University of Pennsylvania)

Abstract

There is always a trade off between computational and statistical efficiency. The phenomenal recent advances in computing have shifted the advantage toward Bayesian methods of estimation. We propose an interactive program for analyzing observations above a high threshold. The first phase of the analysis is the “identification” phase. Using parameter estimators which are not too efficient but easy to compute, we perform many iterations to find the empirical optimal combination choice of threshold and choice of monotone increasing function transformation. We review existing methods of estimation. The second phase is the “estimation” phase. We examine the use of Bayes estimators for this phase. We also suggest a method of finding confidence regions.

Suggested Citation

  • James Pickands III, 1994. "Bayes Quantile Estimation and Threshold Selection for the Generalized Pareto Family," Springer Books, in: Janos Galambos & James Lechner & Emil Simiu (ed.), Extreme Value Theory and Applications, pages 123-138, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4613-3638-9_7
    DOI: 10.1007/978-1-4613-3638-9_7
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