In this paper, the daily Hang Seng index in Hong Kong stock market is studi
ed by multifractal analysis. The main parameter of multifractal spectra use
d is Deltaf, which can be used to characterize the ratio of number of highe
st index moments to that of lowest ones. The dependence of today's gain pro
bability (G%) and the day's index increase probability (n%) with Deltaf of
the previous 3 days are studied. It is found that G% and n% can reach 70-80
% at the large positive Deltaf region and can be very close to 20% at the b
ig negative Deltaf region. The predictability decreases with the increasing
number of the previous days. (C) 2001 Elsevier Science B.V. All rights res
erved.