Abstract
Asymptotic normality of linear rank statistics for testing the hypothesis of independence is established under fixed alternatives. A generalization of a result of Bhuchongkul [1] is obtained both with respect to the conditions concerning the orders of magnitude of the score functions and with respect to the smoothness conditions on these functions.
Citation
F. H. Ruymgaart. G. R. Shorack. W. R. van Zwet. "Asymptotic Normality of Nonparametric Tests for Independence." Ann. Math. Statist. 43 (4) 1122 - 1135, August, 1972. https://doi.org/10.1214/aoms/1177692465
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