Sequences of numbers for monte carlo methods

Monte Carlo Methods and Applications

Volumn 2, Issue 3, 1996, Pages 219-235

  Antipov, M V ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84867968782     PISSN: 09299629     EISSN: 15693961     Source Type: Journal    
DOI: 10.1515/mcma.1996.2.3.219     Document Type: Article

References (24)

1. Lehmer P.H. Mathematical methods in large-scale computing units. Ann. Comp. Laboratory Harvard University (1951), 26, p. 141-146.
2. Knuth D.E. The art of computer programming, v.2, Seminumerical Algorithms. Addison-Wesley Publishing Company. London, 1969.
3. Sobol I.M. Numerical Monte Carlo Methods. Nauka, Moscow, 1973, (in Russian).
4. Kolmogorov A.N. Information theory and the theory of algorithms. Nauka. Moscow, 1987, (in Russian)
5. Antipov M.V. The estimation and choice of the pseudo-random generator for a given class of problems. Preprint No. 554, Computing Centre, Acad. Sei., Novosibirsk, 1985, (in Russian).
6. Antipov M.V. Restrictions in the numerical Monte Carlo methods when using pseudorandom numbers. In: Theory and applications of statistical modelling, Computing Centre, Acad. Sei., Novosibirsk, 1989, 3-9 (in Russian).
7. Antipov M.V. On the correlation coefficient of the full period of a pseudo-sequence. In: Computer systems, Trans. Institute of Mathematics, Acad. Sei., N.50, (1972), (in Russian).
8. Sobol I.M. Multidimensional quadrature formulae and the Haar functions. Nauka, Moscow, 1969, (in Russian)
9. Tausworthe R.C. Random numbers generated by linear recurrence modulo vivo.Math. of Comp., (1965), 19, No. 90, 201-209.
10. Antipov M.V. Systems of pseudo-random generators for the personal computers. Preprint No. 910, Computing Centre, Acad. Sei., Novosibirsk, (1990), (in Russian).
11. Antipov M.V. Analysis of the generating multipliers of the multiplicative pseudo-random generator. Preprint No. 42-71, Institute of Nuclear Physics, Acad. Sei., Novosibirsk, (1971), (in Russian).
12. Antipov M.V. Optimal generating multiplier of the multiplicative pseudo-random generator. In: Probabilistic methods of mathematical physics, Computing Centre. Acad. Sei., Novosibirsk, (1971), 19 p. (in Russian).
13. Antipov M.V. The error estimations in the integration by the Monte Carlo method. In: Mathematical and imitation'models of systems, CM-9, Computing Centre, Acad. Sei. (1983), 7 p. (in Russian).
14. Lib-Yuan Deng, Kwok Hung Chan and Yilian Yuan. Random number generators for multiprocessor systems. Intern. J. Modelling and Simulation, (1994), 14, No.4.
15. Antipov M.V. Sufficiency of a class of pseudo-random number generators. In: Theory and applications of statistical modelling, Computing Centre, Acad. Sei., Novosibirsk, (1991), 3-16 (in Russian).
16. Antipov M.V. The correlation determinate! and the multidimensional distribution of some sequences. In: Methods and algorithms of statistical-modelling, Computing Centre, Acad. Sei., Novosibirsk, (1983), 10-16 (in Russian).
17. Antipov M.V. The uniformity and correlation of the multiplicative sequences. In: Monte Carlo methods in computational mathematics and mathematical physics. Part 1, Computing Centre, Acad. Sei., Novosibirsk, (1979), 9-16 (in Russian)
18. Antipov M.V. The inverse congruence generator and the Euclidean algorithm. In: Numerical Mathematics, Trans. Computing Centre, Acad. Sei., (1993). 3-13.
19. Antipov M.V. Congruence operator of the pseudo-random numbers generator and a modification of Euclidean decomposition. Monte Carlo methods and applications, (1995), 1, No.3, 203-219.
20. Coveyon R.R. and MacPherson R.P. Fourier analysis of uniform random number generators. J. ACM, (1967), 13, No.l, 100-119.
21. Antipov M.V. and Lobanov P.V. The Pseudo-random number generators for personal computers. Preprint No. 1002, Computing Centre, Acad. Sei., Novosibirsk, (1993), (in Russian).
22. Antipova T.I and Antipov M.V. An expert system of generators of statistical distributions. Preprint No. 1038, Computing Centre, Acad. Sei., Novosibirsk, (1995), (in Russian).
23. Mikhailov G.A. and Antipov M.V. Estimations of nommifonnity for distributions of congruental sums of random numbers. Doklady RAN, (1996), 347, No.l, 23-26.
24. Tocher K.D. The application of automatic computers to sampling experiments. J. Royal Statist. Soc., ser.B, (1954), 16, No.l, 39-61.