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Solution of the generalized Neyman–Pearson problem using the methods for the optimal partitioning of sets
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 1, pp. 167-173 Cet article a éte moissonné depuis la source Math-Net.Ru

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E. M. Kiseleva. Solution of the generalized Neyman–Pearson problem using the methods for the optimal partitioning of sets. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 1, pp. 167-173. http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_1_a14/

[1] Neyman J., Pearson E. S., “On the problem of the most efficient tests of statistical hipotheses”, Philos. Trans. Roy. Soc. Ser. A, 231 (1933), 289–337 | DOI

[2] Danzig G., Wald A., “On the fundamental lemma of Neyman and Pearson”, Ann. Math. Statist., 22 (1951), 87–93 | DOI | MR

[3] Leman E. L., Proverka statisticheskikh gipotez, Nauka, M., 1964 | MR

[4] Rao S. R., Lineinye statisticheskie metody i ikh primeneniya, Nauka, M., 1968 | MR | Zbl

[5] Francis R. L., Wright G. F., “Some duality relationships for the generalized Neyman-Pearson problem”, J. Optimizat., 4 (1969), 394–412 | MR | Zbl

[6] Trukhaev P. I., Khomenyuk V. V., Teoriya neklassicheskikh variatsionnykh zadach, Izd-vo LGU, Leningrad, 1971 | MR

[7] Corley H. W., Roberts S. D., “A partitioning problem with applications in regional design”, Operat Res., 20:5 (1972), 1010–1019 | DOI | MR | Zbl

[8] Kuk Yu. V., “Ob odnom obobschenii lemmy Neimana-Pirsona v teorii raspoznavaniya signalov”, Kibernetika, 1978, no. 5, 79–82 | MR | Zbl

[9] Kiseleva E. M., “Reshenie odnoi zadachi optimalnogo razbieniya s razmescheniem tsentrov tyazhesti podmnozhestv”, Zh. vychisl. matem. v matem. fiz., 29:5 (1989), 709–722 | MR | Zbl

[10] Kiseleva E. M., Shafiro B. G., Mnogoproduktovaya zadacha optimalnogo razbieniya s dopolnitelnymi ogranicheniyami, Dep. v VINITI 12.03.90, No 1345-V90, 18 pp.

[11] Shor N. Z., Metody minimizatsii nedifferentsiruemykh funktsii i ikh prilozheniya, Nauk. dumka, Kiev, 1979 | MR | Zbl