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In this paper, the author uses a system approach for modeling analytical laws of mortality. The article considers modeling such probabilistic characteristics as: deaths graph, survival function, mortality rate. The data tables of Russia's population mortality in 2017 are approximated by such traditional analytical laws as that of de Moivre, Gompertz, Makeham, Weibull and Еrlang. For each class of distributions the problem of estimation of unknown parameters is solved by using different methods.doi:10.17150/2500-2759.2019.29(1).95-106 fatcat:zghjps73s5a4dfcijs7an5ihva