On the Large Sample Properties of a Generalized Wilcoxon-Mann-Whitney Statistic
Basu, A. P.
Ann. Math. Statist., Tome 38 (1967) no. 6, p. 905-915 / Harvested from Project Euclid
Let there be two independent samples of sizes $m$ and $n$ respectively from two populations with continuous cdf's $F(x)$ and $G(y)$. To test the equality of the two populations Sobel [19], has proposed the statistic $V^{m,n}_r$ (to be defined later) based on the first $r$ ordered observations only. In this paper the large sample properties of $V^{m,n}_r$ have been studied. The test is compared with other "$r$ out of $N$" tests by computing the appropriate asymptotic relative efficiencies. The test statistic is found to be quite satisfactory in all the cases considered and is particularly suitable for location alternatives.
Publié le : 1967-06-14
Classification: 
@article{1177698884,
     author = {Basu, A. P.},
     title = {On the Large Sample Properties of a Generalized Wilcoxon-Mann-Whitney Statistic},
     journal = {Ann. Math. Statist.},
     volume = {38},
     number = {6},
     year = {1967},
     pages = { 905-915},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177698884}
}
Basu, A. P. On the Large Sample Properties of a Generalized Wilcoxon-Mann-Whitney Statistic. Ann. Math. Statist., Tome 38 (1967) no. 6, pp.  905-915. http://gdmltest.u-ga.fr/item/1177698884/