Rapid economic growth in South-East and East Asia has seen a surge in touri
st arrivals from this region to Australia in the 1990s, prior to the curren
cy crisis in late 1997. The purpose of the paper is to use Autoregressive I
ntegrated Moving Average (ARIMA) models to explain the nonstationary season
ally unadjusted quarterly tourist arrivals from Wong Kong and Singapore to
Australia from 1975(1) to 1996(4). As the tourist arrivals series display s
trong seasonal patterns, deterministic and stochastic seasonality are exami
ned as possible explanations for variations in the international tourist ar
rivals series. The Hylleberg et al. (Journal of Econometrics, 99, pp. 215-3
8, 1990) test for seasonal unit roots is used to examine stochastic seasona
lity in the various series.