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Numerous time-dependent phenomena govern our world. The time series are part of one of the methods often used to understand mathematically. Time series can be used to predict future events. In this article, we use the concept of time series to analyze and model the Index of air quality in Dakar to make his short-term forecast. To top this approach, the auto-regressive moving average(2,1) selected by the optimal Akaike information criterion and Bayesian information criterion was used to perform some simulations. AMS Subject Classification: 78M50, 65C20, 62P12, 37M10

OPTIMIZATION AND ANALYSIS OF THE INDEX OF AIR QUALITY IN DAKAR BY THE PROCESS AUTO REGRESSIVE MOVING AVERAGE ARMA(2,1)