On a class of premium principles including the Esscher principle

A class of premium calculation principles is considered with the premiums obtained as expected values of suitably transformed distribution functions. The Esscher principle is a particular example. It is found that the likelihood ratio ordering of risks is preserved for any of these principles. A renewal theoretical interpretation of a special principle is given, and useful properties as well as a related characterization of the exponential distribution are shown. (orig.)Available from TIB Hannover: RN 6363(1995,4) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman