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The Asymptotic Dependence of Elliptic Random Variables

Krystyna Jaworska 

Military University of Technology (WAT), Kaliskiego 2, Warszawa 00-908, Poland

Abstract

Let X, Y be insurance claims due to flood disasters (X) and wind storms (Y). Last year events taught us that very often the extremal values of X are accompanied by extremal values of Y. In mathematical language it means, that X and Y are asymptotically dependent. Traditional models based on multidimensional normal probability law give rise to quite opposite conclusion. Therefore in modelling of extremal events more and more often the researchers are using the elliptic probability law instead of the normal one. In my presentation I'm going to answer the question, for which two-dimensional elliptic random variables (X,Y) the one-dimension random variables X and Y are asymptotically dependent.

 

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Related papers

Presentation: Oral at 2 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", Econophysics, by Krystyna Jaworska
See On-line Journal of 2 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych"

Submitted: 2006-02-28 21:53
Revised:   2009-06-07 00:44