The bounds for the power of $C(\alpha)$-tests and their applications
Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 2, pp. 252-266

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The present paper gives the upper and lower bounds for the power function $\beta_n(\xi,\theta)$ of $C(\alpha)$-tests introduced by J. Neyman in 1959. Some applications of these bounds are also discussed.
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     title = {The bounds for the power of $C(\alpha)$-tests and their applications},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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L. S. Vorobyov; I. G. Žurbenko. The bounds for the power of $C(\alpha)$-tests and their applications. Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 2, pp. 252-266. http://geodesic.mathdoc.fr/item/TVP_1979_24_2_a1/