This paper gives an account of the R/S statistic and its known propert
ies. It assesses the adequacy of the asymptotic distribution of the st
atistic in the case of samples of small and moderate size, and suggest
s an improved approximation based on the beta distribution. The result
s indicate that the proposed beta approximation is superior to the asy
mptotic distribution for practical purposes. Hence a new table of crit
ical values is presented as an alternative to that of Lo(1991).