Weighted algorithms for the statistical modeling of diffusion processes
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 4, pp. 571-584 Cet article a éte moissonné depuis la source Math-Net.Ru

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M. A. Marchenko; G. A. Mikhailov. Weighted algorithms for the statistical modeling of diffusion processes. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 4, pp. 571-584. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_4_a10/

[1] Gikhman I. I., Skorokhod A. V., Stochastic differential equation, Springer, Berlin, 1979

[2] Artemiev S. S., Averina T. A., Numerical analysis of systems of ordinary and stochastic differential equations, VSP, Utrecht–Tokyo, 1997 | MR | Zbl

[3] Kloeden P. E., Platen E., Numerical solution of stochastic differential equations, Springer, Berlin etc., 1992 | MR

[4] Marchenko M. A., Optimizatsiya i parallelnaya realizatsiya statisticheskogo modelirovaniya diffuzionnykh protsessov, Dis. ...kand. fiz.-matem. nauk, IVMiMG SO RAN, Novosibirsk, 2002

[5] Gobet E., “Efficient schemes for the weak approximation of reflected diffusions”, Monte Carlo Methods and Applic., 7:1–2 (2001), 193–202 | DOI | MR | Zbl

[6] Marchenko M. A., “Calculation optimization in the solution of diffusion problems”, Russ. J. Numer. Analys. Math. Modelling, 16:5 (2001), 483–498 | MR

[7] Mikhailov G. A., Vesovye metody Monte-Karlo, Izd-vo SO RAN, Novosibirsk, 2000 | MR

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

[9] Mikhailov G. A., Marchenko M. A., “Ispolzovanie vyborki po vazhnosti pri reshenii stokhasticheskikh differentsialnykh uravnenii”, Dokl. RAN, 380:2 (2001), 164–167 | MR | Zbl

[10] Ermakov S. M., Mikhailov G. A., Statisticheskoe modelirovanie, Nauka, M., 1987 | MR

[11] Dyadkin I. G., Hamilton K. G., “A study of 128-bit multipliers for congruential pseudorandom number generators”, Comput. Phys. Commun., 125 (2000), 239–258 | DOI | Zbl

[12] Marsaglia G., “Random numbers fall mainly in the planes”, Proc. Nat. Acad. Sci. USA, 61 (1968), 23–25 | DOI | MR

[13] Mikhailov G. A., Marchenko M. A., “Parallel realization of statistical simulation and random number generators”, Russ. J. Numer. Analys. and Math. Modelling, 17:1 (2002), 113–124 | MR | Zbl

[14] Kendall M., Styuart A., Statisticheskie vyvody i svyazi, Nauka, M., 1973 | Zbl