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Exploiting occurrence times in likelihood inference for componentwise maxima.

Research output: Contribution to journalJournal article

Published

Journal publication date1/03/2005
JournalBiometrika
Journal number1
Volume92
Number of pages15
Pages213-227
Original languageEnglish

Abstract

Multivariate extreme value distributions arise as the limiting distributions of normalised componentwise maxima. They are often used to model multivariate data that can be regarded as the componentwise maxima of some unobserved underlying multivariate process. In many applications we have extra information. We often know the locations of the maxima within the underlying process. If the process is temporal this knowledge is frequently available through the dates on which the maxima are recorded. We show how to incorporate this extra information into maximum likelihood procedures. Asymptotic and small-sample efficiency results are presented for the dependence parameter in the logistic parametric sub-class of bivariate extreme value distributions. We conclude with an application to sea levels.

Bibliographic note

RAE_import_type : Journal article RAE_uoa_type : Statistics and Operational Research