Forecasting Annual International Tourist Arrivals in Zambia Using Holt-Winters Exponential Smoothing
- 1 Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia
- 2 Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia
- 3 Department of Mathematics and Statistics, Mulungushi University, Kabwe, Zambia
- 4 Zambia Information and Communications Technology Authority, Lusaka, Zambia
- 5 Department of Mathematics and Statistics, Northrise University, Ndola, Zambia
Abstract
Tourism is one of the major contributors to foreign exchange earnings to Zambia and world economy. Annual International tourist arrivals in Zambia from 1995 to 2014 are considered in this paper. In this study we evaluated the model performance of Auto-Regressive Integrated Moving Average (ARIMA) and Holt Winters exponential smoothing (HWES). The error indicators: Mean percentage error (MPE), Mean absolute error (MAE), Mean absolute scaled error (MASE), Root-mean-square error (RMSE) and Mean absolute percentage error (MAPE) showed that HWES is an appropriate model with reasonable forecast accuracy. The HWES (α = 1, β = 0.1246865) showed smallest error than those of the ARIMA (0, 1, 2) models. Hence, the HWES (α = 1, β = 0.1246865) can be used to model annual international tourist arrivals in Zambia. Further, forecasting results give a gradual increase in annual international tourist arrivals of about 42% by 2024. Accurate forecasts are key to new investors and Policymakers. The Zambian government should use such forecasts in formulating policies and making strategies that will promote the tourism industry.
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