Αρχές υπολογισμού ασφαλίστρων και τιμολόγησης βασισμένες σε μονοδιάστατες και πολυδιάστατες σταθμισμένες κατανομές
Weighted premium calculation principles and pricing based on univariate and multivariate weighted distributions

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Ασφάλιστρα ; Κατανομές ; ΣταθμισμέναAbstract
In actuarial science the construction of premium calculation principles that satisfies certain properties constitutes one significant problem. In this paper a family of premium calculation principles is studied, based on weighted distributions. Initially, a construction methodology of premium calculation principles will be developed by using univariate weighted distributions, and then this theory is extended for multivariate weighted distributions. In addition, it is investigated the role of weighted allocations in the pricing of insurance risks. Numerical examples are given which verify the theoretical results.