B. Campbell et Jm. Dufour, EXACT NONPARAMETRIC-TESTS OF ORTHOGONALITY AND RANDOM-WALK IN THE PRESENCE OF A DRIFT PARAMETER, International economic review, 38(1), 1997, pp. 151-173
In this paper, finite-sample nonparametric tests of conditional indepe
ndence and random walk are extended to allow for an unknown drift para
meter. The tests proposed are based on simultaneous inference methods
and remain exact in the presence of general forms of feedback, nonnorm
ality and heteroskedasticity. Further, in two simulation studies we co
nfirm that the nonparametric procedures are reliable, and find that th
ey display power comparable or superior to that of conventional tests.