The functional convergence of the limits and models in the Monte Carlo method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 10, pp. 1641-1651 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. V. Voitishek; S. M. Prigarin. The functional convergence of the limits and models in the Monte Carlo method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 10, pp. 1641-1651. http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_10_a8/

[1] Frolov A. S., Chentsov N. N., “Ispolzovanie zavisimykh ispytanii v metode Monte-Karlo dlya polucheniya gladkikh krivykh”, Tr. VI Vses. soveschanie po teorii veroyatnostei i matem. statistike, Gos. izd-vo polit. i nauchn. lit. LitSSR, Vilnyus, 1962, 425–437

[2] Mikhailov G. A., “Chislennoe postroenie sluchainogo polya s zadannoi spektralnoi plotnostyu”, Dokl. AN SSSR, 238:4 (1978), 793–795 | MR

[3] Mikhailov G. A., “Priblizhennye modeli sluchainykh protsessov i polei”, Zh. vychisl. matem. i matem. fiz., 23:3 (1983), 558–566 | MR

[4] Mikhailov G. A., Metody Monte-Karlo dlya resheniya zadach so sluchainymi parametrami, Preprint No 653, VTs SO AN SSSR, Novosibirsk, 1986, 36 pp. | MR

[5] Mikhailov G. A., Optimizatsiya vesovykh metodov Monte-Karlo, Nauka, M., 1987 | MR

[6] Nekrutkin V. V., “K obosnovaniyu metoda otbora dlya multiplikativnogo datchika psevdosluchainykh chisel”, Zh. vychisl. matem. i matem. fiz., 21:5 (1981), 1100–1107 | MR | Zbl

[7] Kushner G. Dzh., Veroyatnostnye metody approksimatsii v stokhasticheskikh zadachakh upravleniya i teorii ellipticheskikh uravnenii, Nauka, M., 1985 | MR

[8] Voitishek A. V., “Issledovanie slaboi skhodimosti modelei gaussovskikh sluchainykh polei s zadannym spektralnym razlozheniem korrelyatsionnoi funktsii”, Modelirovanie na vychisl. sistemakh, VTs SO AN SSSR, Novosibirsk, 1982, 119–129

[9] Voitishek A. V., “Randomizirovannaya chislennaya spektralnaya model statsionarnoi sluchainoi funktsii”, Matem. i imitatsionnye modeli sistem, VTs SO AN SSSR, Novosibirsk, 1983, 17–25

[10] Voitishek A. V., “Differentsialnye usloviya slaboi skhodimosti stokhasticheskikh otsenok i modelei”, Metody statistich. modelirovaniya, VTs SO AN SSSR, Novosibirsk, 1986, 35–52

[11] Prigarin S. M., “O slaboi skhodimosti priblizhennykh modelei gaussovskikh sluchainykh polei”, Teoriya i prilozh. statistich. modelirovaniya, VTs SO AN SSSR, Novosibirsk, 1988, 31–39 | MR

[12] Voitishek A. V., Prigarin S. M., “Momentnye usloviya funktsionalnoi skhodimosti chislennoi randomizirovannoi spektralnoi modeli odnorodnykh gaussovskikh polei”, Teoriya i prilozh. statistich. modelirovaniya, VTs SO AN SSSR, Novosibirsk, 1988, 41–46

[13] Voitishek A. V., Prigarin S. M., “Obosnovanie metoda zavisimykh ispytanii dlya mnogomernogo parametra”, Teoriya i prilozh. statistich. modelirovaniya, VTs SO AN SSSR, Novosibirsk, 1989, 73–80

[14] Prigarin S. M., “Teorema Dzheina-Markusa i ee primeneniya v statisticheskom modelirovanii”, Teoriya i prilozh. statistich. modelirovaniya, VTs SO AN SSSR, Novosibirsk, 1990, 13–18

[15] Billingsli P., Skhodimost veroyatnostnykh mer, Nauka, M., 1977 | MR

[16] Kozachenko Yu. V., Yadrenko M. I., “Lokalnye svoistva vyborochnykh funktsii sluchainykh polei”, Teoriya veroyatnostei, matem. statistika, 1976, no. 14, 53–66 | Zbl

[17] Yurinskii V. V., “O vyborochnoi nepreryvnosti sluchainykh polei”, Teoriya veroyatnostei i ee primeneniya, 18:3 (1973), 633–639

[18] Gikhman I. I., Skorokhod A. V., Vvedenie v teoriyu sluchainykh protsessov, Nauka, M., 1965 | MR

[19] Petrov V. V., Predelnye teoremy dlya summ nezavisimykh sluchainykh velichin, Nauka, M., 1987 | MR

[20] Venttsel A. D., Kurs teorii sluchainykh protsessov, Nauka, M., 1975 | MR

[21] Jain N. C., Marcus M. B., “Central limit theorems for $C(S)$-valued random variables”, J. Funct. Analys., 19:3 (1975), 216–231 | DOI | MR | Zbl

[22] Ermakov S. M., Mikhailov G. A., Statisticheskoe modelirovanie, Nauka, M., 1982 | MR