References
H. Cramér, Mathematical Methods of Statistics, Princeton University Press, 1946.
D. van Dantzig, On the consistency and the power of Wilcoxon's two sample test, Nederl. Akad. Wetensch. Proc. Ser. A, Vol.54 = Indag. Math. Vol.13 (1951), pp. 1–8.
B. V. Gnedenko, On the Wilcoxon test of comparing two samples, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys., Vol.6 (1958), pp. 615–618.
H. J. Godwin andS. K. Zaremba, A general form of the central limit theorem for partly dependent variables, to appear in Ann. Math. Statist.
E. L. Lehman, Consistency and unbiasedness of certain nonparametric tests, Ann. Math. Statist., Vol.22 (1951), pp. 165–179.
H. B. Mann andD. R. Whitney, On a test whether one of two random variables is stochastically larger than the other, Ann. Math. Statist., Vol.18 (1947), pp. 50–60.
B. L. van der Waerden, Mathematische Statistik, Springer, Berlin-Göttingen-Heidelberg, 1957.
G. B. Wetherill, The Wilcoxon test and non-null hypotheses, J. Roy. Statist. Soc. Ser. B., Vol.22 (1960), pp. 402–418.
Author information
Authors and Affiliations
Additional information
A résumé of this note was read at the Fifth Austrian Congress of Mathematicians in Innsbruck on September 16th, 1960.
Rights and permissions
About this article
Cite this article
Zaremba, S.K. A generalization of Wilcoxon's test. Monatshefte für Mathematik 66, 359–370 (1962). https://doi.org/10.1007/BF01301184
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01301184