On Families of Admissible Tests
Lehmann, E. L.
Ann. Math. Statist., Tome 18 (1947) no. 4, p. 97-104 / Harvested from Project Euclid
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For each hypothesis $H$ of a certain class of simple hypotheses, a family $F$ of tests is determined such that (a) given any test $w$ of $H$ there exists a test $w'$ belonging to $F$ which has power uniformly greater than or equal to that of $w$. (b) no member of $F$ has power uniformly greater than or equal to that of any other member of $F$. The effect on $F$ of various assumptions about the set of alternatives are considered. As an application an optimum property of the known type $A_1$ tests is proved, and a result is obtained concerning the most strigent tests of the hypotheses considered.
Publié le : 1947-03-14
Classification:  
@article{1177730496,
     author = {Lehmann, E. L.},
     title = {On Families of Admissible Tests},
     journal = {Ann. Math. Statist.},
     volume = {18},
     number = {4},
     year = {1947},
     pages = { 97-104},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177730496}
}

Lehmann, E. L. On Families of Admissible Tests. Ann. Math. Statist., Tome 18 (1947) no. 4, pp.  97-104. http://gdmltest.u-ga.fr/item/1177730496/