Abstract
The methodology for analysis and forecasting of time series is applied to analyze the time series of integral indicators (Total Score) of the ARWU ranking for the University of Melbourne (Australia) and Vanderbilt University (USA). The choice of the ARWU ranking is due to the fact that it has the longest time series Total Score (18 time points), the choice of the University of Melbourne is associated with its clear positive trend, and the choice of Vanderbilt University is associated with its negative trend.
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