Mathematics – Probability
Scientific paper
2011-07-22
Mathematics
Probability
Keywords: Dependent RVs, Copulas, Frechet Bounds
Scientific paper
In this paper an analytic expression is given for the bounds of the
distribution function of the sum of dependent normally distributed random
variables. Using the theory of copulas and the important Frechet bounds the
dependence structure is not restricted to any specific type. Numerical
illustrations are provided to assess the quality of the derived bounds.
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