@article{MVK_2015_6_3_a5,
author = {A. V. Ivanov},
title = {Asymptotically optimal criteria for testing parametric hypothesis on the distribution of a~random {vector.~I}},
journal = {Matemati\v{c}eskie voprosy kriptografii},
pages = {89--116},
year = {2015},
volume = {6},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MVK_2015_6_3_a5/}
}
TY - JOUR AU - A. V. Ivanov TI - Asymptotically optimal criteria for testing parametric hypothesis on the distribution of a random vector. I JO - Matematičeskie voprosy kriptografii PY - 2015 SP - 89 EP - 116 VL - 6 IS - 3 UR - http://geodesic.mathdoc.fr/item/MVK_2015_6_3_a5/ LA - ru ID - MVK_2015_6_3_a5 ER -
A. V. Ivanov. Asymptotically optimal criteria for testing parametric hypothesis on the distribution of a random vector. I. Matematičeskie voprosy kriptografii, Tome 6 (2015) no. 3, pp. 89-116. http://geodesic.mathdoc.fr/item/MVK_2015_6_3_a5/
[1] Arbekov I. M., “Optimalnaya diskretizatsiya nablyudenii slabykh signalov pri ogranichenii na skorost kvantovaniya”, Problemy peredachi informatsii, 34:1 (1998), 69–76 | MR | Zbl
[2] Borovkov A. A., Matematicheskaya statistika, 4-e izd., Lan, Sankt-Peterburg–Moskva–Krasnodar, 2010, 704 pp.
[3] Verner M., Osnovy kodirovaniya, Tekhnosfera, M., 2004, 288 pp.
[4] Gaek Ya., Shidak Z., Teoriya rangovykh kriteriev, Nauka, M., 1971, 376 pp.
[5] Gnedenko B. V., Kurs teorii veroyatnostei, 6-e izd., Nauka, M., 1988, 448 pp. | MR
[6] Ivanov A. V., “Asimptoticheski naibolee moschnyi kriterii razlicheniya gipotez o raspredelenii sluchainogo vektora”, 10-ya Obscheros. nauch. konf. MaBIT-2011, Materialy sektsii “Matematicheskie problemy informatsionnoi bezopasnosti”, MAKS-PRESS, M., 2012, 93–97
[7] Ivanov A. V., “Asimptoticheski optimalnye kriterii v zadache razlicheniya gipotezo raspredelenii sluchainogo vektora”, Obozr. prikl. i promyshl. matem., 20:2 (2013), 139–141
[8] Ivanov A. V., “Asimptoticheski optimalnye kriterii v zadache razlicheniya gipotez o raspredelenii sluchainogo vektora. II”, Obozr. prikl. i promyshl. matem., 20:4 (2013), 548–550
[9] Ivanov A. V., “Asimptoticheski optimalnye kriterii v zadache razlicheniya gipotez o raspredelenii sluchainogo vektora. III”, Obozr. prikl. i promyshl. matem., 21:1 (2014), 58–60
[10] Maksimov Yu. I., “Postroenie i analiz statisticheskikh kriteriev dlya nekotorykh skhem sluchainykh posledovatelnostei so znacheniyami iz polya $GF(q)$”, Trudy po diskretnoi matematike, 5, 2002, 159–166
[11] Pazizin S. V., “Obnaruzhenie i priem posledovatelnosti signalov, iskazhennykh sluchainoi pomekhoi i nezavisimym shumom”, Problemy peredachi informatsii, 34:1 (1998), 46–55 | MR | Zbl
[12] Pazizin S. V., “Veroyatnosti pravilnogo dekodirovaniya dlya kanala s additivnym normalnym shumom i dvoichnogo simmetrichnogo kanala pri sluchainom vybore kodovykh slov”, Diskretnaya matematika, 12:2 (2000), 93–98 | DOI | MR | Zbl
[13] Petrov V. V., Predelnye teoremy dlya summ nezavisimykh sluchainykh velichin, Nauka, M., 1987, 320 pp. | MR
[14] Rusas Dzh., Kontigualnost veroyatnostnykh mer, Mir, M., 1975, 256 pp. | MR
[15] Chibisov D. M., “Teorema o dopustimykh kriteriyakh i ee primenenie k odnoi asimptoticheskoi zadache proverki gipotez”, Teoriya veroyatn. i ee primen., 21:1 (1967), 96–111 | MR | Zbl
[16] Arbekov I. M., “Asymptotically optimum detection of a weak signal sequence with random time delays”, IEEE Trans. Inf. Theory, 41:4 (1995), 1169–1174 | DOI | Zbl
[17] Kassam S. A., Signal detection in non-gaussian noise, Springer-Verlag, New-York, 1988, 235 pp. | MR
[18] Miller J. H., Thomas J. B., “Detectors for discrete-time signals in non-gaussian noise”, IEEE Trans. Inf. Theory, 18:2 (1972), 241–250 | DOI | MR | Zbl