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 [I) 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.
Received September 25, 1970; revised October 29, 1971.
Report SW 5aj7l of the Department of Mathematical Statistics, Mathematisch Centrum, Amsterdam.
This research was partially supported by NSF Contract No. G P- 13739.
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Ruymgaart, F.H., Shorack, G.R., van Zwet, W.R. (2012). Asymptotic Normality of Nonparametric Tests for Independence. In: van de Geer, S., Wegkamp, M. (eds) Selected Works of Willem van Zwet. Selected Works in Probability and Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1314-1_5
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