Consistency and Unbiasedness of Certain Nonparametric Tests
Lehmann, E. L.
Ann. Math. Statist., Tome 22 (1951) no. 4, p. 165-179 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
It is shown that there exist strictly unbiased and consistent tests for the univariate and multivariate two- and $k$-sample problem, for the hypothesis of independence, and for the hypothesis of symmetry with respect to a given point. Certain new tests for the univariate two-sample problem are discussed. The large sample power of these tests and of the Mann-Whitney test are obtained by means of a theorem of Hoeffding. There is a discussion of the problem of tied observations.
Publié le : 1951-06-14
Classification:  
@article{1177729639,
     author = {Lehmann, E. L.},
     title = {Consistency and Unbiasedness of Certain Nonparametric Tests},
     journal = {Ann. Math. Statist.},
     volume = {22},
     number = {4},
     year = {1951},
     pages = { 165-179},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177729639}
}

Lehmann, E. L. Consistency and Unbiasedness of Certain Nonparametric Tests. Ann. Math. Statist., Tome 22 (1951) no. 4, pp.  165-179. http://gdmltest.u-ga.fr/item/1177729639/