Abstract
A modification of the rule suggested by Tiao and Guttman (1967) is considered for the estimation of the mean of a normal population using data with an unspecified number of outliers. The properties of the modified rule are investigated by considering its premium and protection. For the case where the number of outliers, i, is specified, it is shown that the Tiao-Guttman tables for m 2 are adequate for all values of m.