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2013 Characterization theorems for mean value insurance premium calculation principle
Mykola Pratsiovytyi, Vitaliy Drozdenko
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Tbilisi Math. J. 6: 57-71 (2013). DOI: 10.32513/tbilisi/1528768937


Characterization theorems for several properties possessed by the mean value insurance premium calculation principle are presented. Demonstrated theorems cover cases of additivity, consistency, iterativity, and scale invariance properties. Results are formulated in a form of necessary and sufficient conditions for attainment of the properties imposed on the auxiliary function with the help of which the mean value premium calculation principle is defined. We show also that for the mean value principle subjected to pricing of only strictly positive risks the class of the auxiliary functions producing scale invariant premiums is larger than in the general case.


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Mykola Pratsiovytyi. Vitaliy Drozdenko. "Characterization theorems for mean value insurance premium calculation principle." Tbilisi Math. J. 6 57 - 71, 2013.


Received: 9 August 2013; Revised: 11 December 2013; Accepted: 18 December 2013; Published: 2013
First available in Project Euclid: 12 June 2018

zbMATH: 1281.91102
MathSciNet: MR3260492
Digital Object Identifier: 10.32513/tbilisi/1528768937

Primary: 91B30
Secondary: 62P05, 62P20

Rights: Copyright © 2013 Tbilisi Centre for Mathematical Sciences


Vol.6 • 2013
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