Abstract
Introduction. The article examines the trends in the levels of average wages, minimum wages and subsistence minimum, which are extremely important for the analysis of wealth and well-being of the population of Ukraine. The time trends of these indicators are constructed and the regularities of their change during 1996-2020 are established. The Keitz index is calculated and investigated. The dependences of the average wage, the minimum wage and the subsistence level on the gross domestic product are analyzed and established. The values of the values of the mutual correlation function are investigated. Purpose. The purpose of this article is a mathematical and statistical analysis of the dynamics of wages and living wage in Ukraine and the factors influencing them. The task is to study the impact of gross domestic product on the average wage, minimum wage, subsistence level and establish a causal relationship between them using mathematical, statistical and econometric models in order to further predict them and make recommendations on social indicators of living standards. Method. The article uses mathematical and statistical methods and regression-correlation analysis as the main methods of scientific research; time series theory; methods of mathematical modeling. Results. Analyzing the statistical data of indicators of average wages, minimum wages, subsistence level and gross domestic product in Ukraine for 1996-2020, their dynamics is studied. Trend models of wage levels and subsistence level have been built. The general tendency of their growth is noted. Emphasis is placed on the need to use mathematical modeling to study socio-economic indicators of living standards. The Keitz index, which reflects the fight against poverty, is calculated and analyzed. It is noted that during 1996-2009 the subsistence level exceeded the minimum wage. In 2010-2011, the values of the minimum wage slightly exceeded the subsistence level; and in subsequent years, small amounts were observed, until 2017 the minimum wage was not doubled. This positive trend has also been observed in recent years. Econometric models of dependence of average and minimum wage on gross domestic product are presented. The correlation-regression dependence of the subsistence minimum on the gross domestic product is constructed. It is shown that the growth of gross domestic product is accompanied by an increase in social indicators of living standards of the population of Ukraine. The values of the values of the mutual correlation function between the gross domestic product and the levels of wages and subsistence, respectively, are calculated and investigated.
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