Abstract Consider an i.i.d. sample X∗ 1 , X ∗ 2 , . . . , X ∗ n from a location-scale family, and assume that the only available observations consist of the partial maxima (or minima) sequence, X∗ 1:1, X ∗ 2:2, . . . , X ∗ n:n, where X ∗ j:j = max{X∗ 1 , . . . , X∗ j }. This kind of truncation appears in several circumstances, including best performances in athletics events. In the case of part...