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Article

Regularly varying functions

Hedegaard JessenLaboratory of Actuarial Mathematics, University of Copenhagen, Copenhagen, DenmarkThomas MikoschLaboratory of Actuarial Mathematics, University of Copenhagen, Copenhagen, Denmark
2006en
ABI

Abstract

We consider some elementary functions of the components of a regularly varying random vector such as linear combinations, products, minima, maxima, order statistics, powers. We give conditions under which these functions are again regularly varying, possibly with a different index.

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