
412 R.J. Vaccaro et al.
n-1
on
{Sk}k-_O
sequentially, starting from the last element Sn-1. The first test in the nested
sequence of tests is as follows,
18ttest" H ~ Choose H0 UH1 t3...t3Hn_l if S~-1 < T,~-I
HI" Choose H, if Sn-1 _ Tn-1 (17)
If we choose H, then we stop and decide that the rank is n. Otherwise, we conduct the
next test on Sn-2 and so on. The
k th
test in the procedure will be
Uhtest 9 H~ ' Choose
Ho th H1 U ...O H~-k
if
S~-k < T,~-k
(18)
H~" Choose H~-k+l if
Sn-k > Tn-k
We keep testing until we choose H~ for some k and decide that the rank is n-