Abstract
Pilgrimage has received a great attention by the government of Saudi Arabia. Of special interest is the yearly series of the Number of Pilgrims coming from outside the kingdom (NPO) since it is one of the most important indicators in determining the planning mechanism for future hajj seasons. This study approaches the problems of identification, estimation, diagnostic checking and forecasting of the NPO series using Bayesian and Box - Jenkins approaches. The accuracy of Bayesian and Box-Jenkins techniques have been checked for forecasting the future observations and the results were very satisfactory. Moreover, it has been shown that Bayesian technique gives more accurate results than Box- Jenkins technique.