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Premium Calculation by Transforming the Layer Premium Density

Published online by Cambridge University Press:  29 August 2014

Shaun Wang
Shaun Wang*
Affiliation:
University of Waterloo, Canada
*
Dept. of Statistics and Actuarial Science, University of Waterloo, Waterloo, ON N2L 3G1, Canada, E-mail: [email protected]
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Abstract

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This paper examines a class of premium functionals which are (i) comonotonic additive and (ii) stochastic dominance preservative. The representation for this class is a transformation of the decumulative distribution function. It has close connections with the recent developments in economic decision theory and non-additive measure theory. Among a few elementary members of this class, the proportional hazard transform seems to stand out as being most plausible for actuaries.

Keywords

Premium calculation principlecomonotonicitystochastic dominancemean-variance analysisproportional hazard transform
Type
Articles
Information
ASTIN Bulletin: The Journal of the IAA , Volume 26 , Issue 1 , May 1996 , pp. 71 - 92
Copyright
Copyright © International Actuarial Association 1996

References

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