5.1 Give a functional definition similar to (5.5.1) for the rank r(Xi) of a random variable in any set of N independent observations where ties are dealt with by the midrank method. Hint: In place of S(u) in (5.5.2), consider the function c(u) ¼

0 if u > 0 1=2 if u = 0 1 if u > 0

(