Mathematical Concepts in Insurance and Reinsurance : Some Moduli in Programming Environment MATHEMATICA

ISBN-13: 9783659969065 / Angielski / Miękka / 2016 / 144 str.

Nikolay Kyurkchiev

Opis

This monograph is based on lectures I gave in a graduate course at the FMI, Univ. of Plovdiv. One of the most significant goals of any insurance risk activity is to achieve a satisfactory model for the probability distribution of the total claim amount. When preparing the strategy "Risk in Persp.", the actuary fix: the prob. distr. (based on accumulated statistics for the study insured event); number of damaged objects; probability of losses for this number of objects and total losses, depending on the number of damaged objects. In this strategy is essential that the analysis of cdf of accumulation with increasing number of damaged objects and the amount of compensation likely to happen (strategy "Ins. Persp."). The study of this sigmoid function, which is an approximation of the cut function associated to the cdf gives information for the actuary with respect to the minimum sample of the general aggregation of the damaged objects, whose losses must be covered, and thus the percentage of the insured event that are occurred (strategy "Ins. Resp.", according to the law of diminishing marginal returns), and at a later stage for the formation of a support plan for the formation policy.

O autorze

Prof. Nikolay Kyurkchiev works in Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences. Up to now he has over 160 publications and is the author/coauthor of 7 scientific monographs. He works in the following areas: Numerical Analysis, Mathematical Modeling, Approximation Theory, Applied Financial and Insurance Mathematics.