Geodesic
On a Class of Nonparametric Tests for Independence—Bivariate Case(1)
Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 337-342

Voir la notice de l'article provenant de la source Cambridge University Press

Let(X1, Y1), (X2, Y2),..., (Xn, Yn) be n mutually independent pairs of random variables with absolutely continuous (hereafter, a.c.) pdf given by (1) where f(ρ) denotes the conditional pdf of X given Y, g(y) the marginal pdf of Y, e(ρ)→ 1 and b(ρ)→0 as ρ→0 and, (2) We wish to test the hypothesis (3) against the alternative (4) For the two-sided alternative we take — ∞< b < ∞. A feature of the model (1) is that it covers both-sided alternatives which have not been considered in the literature so far. 
Srivastava, M. S. On a Class of Nonparametric Tests for Independence—Bivariate Case(1). Canadian mathematical bulletin, Tome 16 (1973) no. 3, pp. 337-342. doi: 10.4153/CMB-1973-054-9
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