Author(s)

Ian Siluyele¹, Stanley Jere²

¹Zambia Information and Communications Technology Authority (ZICTA), Lusaka, Zambia.
²Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia.

In this paper, the Box-Jenkins modelling procedure is used to determine an ARIMA model and go further to forecasting. The mobile cellular subscription data for the study were taken from the administrative data submitted to the Zambia Information and Communications Technology Authority (ZICTA) as quarterly returns by all three mobile network operators Airtel Zambia, MTN Zambia and Zamtel. The time series of annual figures for mobile cellular subscription for all mobile network operators is from 2000 to 2014 and has a total of 15 observations. Results show that the ARIMA (1, 2, 1) is an adequate model which best fits the mobile cellular subscription time series and is therefore suitable for forecasting subscription. The model predicts a gradual rise in mobile cellular subscription in the next 5 years, culminating to about 9.0% cumulative increase in 2019.

Mobile Cellular Subscription, Box-Jenkins Methodology, ARIMA Model, Autocorrelation Function, Partial Autocorrelation Function

Siluyele, I. and Jere, S. (2016) Using Box-Jenkins Models to Forecast Mobile Cellular Subscription. Open Journal of Statistics, 6, 303-309. doi: 10.4236/ojs.2016.62026.