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Title: The Swiss Re Exposure Curves ad the MBBEFD Distribution Class
Author(s): BERNEGGER, S.
Journal: ASTIN Bulletin
Volume: 27    Issue: 1   Date: May 1997   
Pages: 99-112
DOI: 10.2143/AST.27.1.563208

Abstract :
A new two-parameter family of analytical functions will be introduced for the modelling of loss distributions and exposure curves The curve family contains the Maxwell-Boltzmann, the Bose-Einstein and the Fermi-Dirac distributions, which are well known in statistical mechanics. The functions can be used for the modelling of loss distributions on the finite Interval [0, 1 ] as well as on the interval [0, ∞]. The functions defined on the interval [0, 1] are discussed in detail and related to several Swiss Re exposure curves used in practice The curves can be fitted to the first two moments µ and σ-of a loss distribution or to the first moment µ and the total loss probability p.

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