The Modeling of Productivity Level and the Comparability of Sport Evaluation Depending on an Athlete’s Age

Throughout life, the human working capacity is variable. It is influenced by a wide range of factors, both external and internal, which are difficult to take into account in various studies. An approximation of the density function of the given distribution, based on the assumption of the random nature of the physical condition, depending on a number of different reasons, among competitors and the hypothesis of the asymmetric distribution of athletes’ achievements at different ages, is formed. Optimum parameters of a log-normal distribution that describe the working capacity of a person according to age were determined by using the least-squares method. A comparative analysis of the obtained model and the previously known methods, created by Litvinov and Spiridonov was performed. The study showed the validity of the method for determining age coefficients and the possibility of its practical application.