On the occurrence times of componentwise maxima and bias in likelihood inference for multivariate max-stable distributions

Jennifer L. Wadsworth

Biometrika, 2015, vol. 102, issue 3, 705-711

Abstract: Full likelihood-based inference for high-dimensional multivariate extreme value distributions, or max-stable processes, is feasible when incorporating occurrence times of the maxima; without this information, $d$-dimensional likelihood inference is usually precluded due to the large number of terms in the likelihood. However, some studies have noted bias when performing high-dimensional inference that incorporates such event information, particularly when dependence is weak. We elucidate this phenomenon, showing that for unbiased inference in moderate dimensions, dimension $d$ should be of a magnitude smaller than the square root of the number of vectors over which one takes the componentwise maximum. A bias reduction technique is suggested and illustrated on the extreme-value logistic model.

Date: 2015
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Citations: View citations in EconPapers (2)

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