Asymptotic Normality of Nonparametric Tests for Independence
Open Access
- 1 August 1972
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Mathematical Statistics
- Vol. 43 (4) , 1122-1135
- https://doi.org/10.1214/aoms/1177692465
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.Keywords
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