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Regularly varying functions

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

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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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