Geodesic
On the construction of majorizing tests
Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 1, pp. 18-29 
A. V. Bernštein. On the construction of majorizing tests. Teoriâ veroâtnostej i ee primeneniâ, Tome 25 (1980) no. 1, pp. 18-29. http://geodesic.mathdoc.fr/item/TVP_1980_25_1_a1/
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     author = {A. V. Bern\v{s}tein},
     title = {On the construction of majorizing tests},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {18--29},
     year = {1980},
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     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1980_25_1_a1/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We describe a method which permits to construct the test majorizing the given one when the latter doesn't belong to a complete class. For the hypothesis testing problem on the mean of the multidimensional normal distribution we prove some theorems which permit to construct the majorizing test from a complete class when the vector of means belongs to a polyhedral convex cone.