Concomitant tail behaviour for extremes

Concomitant tail behaviour for extremes

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Article ID: iaor1999463
Country: United Kingdom
Volume: 30
Issue: 1
Start Page Number: 197
End Page Number: 215
Publication Date: Mar 1998
Journal: Advances in Applied Probability
Authors: ,
Abstract:

The influence of bivariate extremal dependence on the limiting behaviour of the concomitant of the largest order statistic is examined. Our approach is to fix the marginal distributions and derive a general tail characterisation of the joint survivor function. From this, we identify the normalisation required to obtain the limiting distribution of the concomitant of the largest order statistic, obtain its tail form, and investigate the limiting probability that the vector of componentwise maxima occurs as an observation of the bivariate process. The results are illustrated for a range of extremal dependence forms.

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