Analytical Approximation in Life Insurance

Abstract

In this paper, the systematic approach is used to model the probabilistic characteristics of life expectancy. The article is devoted to modeling of such probabilistic characteristics as death curve, survival function and mortality rate. In the article, the data on the mortality tables of the population of Russia for the calendar year 2018 are approximated with some special functions. The quality of models fitting was tested using the coefficient of determination. Microsoft Excel was used to calculate the value of the resulting feature, according to the model, and also to calculate the coefficient of determination and to construct the graphs of selection.