The article deals with modeling and forecasting the population of Ukraine by time series. It is shown that time series analysis is a complex, multicomponent
econometric task which does not have a universal approach to its solution. This is due both to the diversity of methods of and approaches to time series analysis
which were developed over time and to the specifics of time series data. For example, the authors of the article worked with a univariate nonstationary time
series, therefore, the approaches and methods presented in the article are not recommended for time series with different properties. The article has an
enormous practical value, since it discusses in detail issues of computer modeling of tasks of the kind. The carried out analysis of the literature has shown the
relevance of the problems considered, among which particular attention should be paid to the choice of the ARIMA model, data visualization, and forecast
accuracy