A natural algorithm for generation of pseudo-random numbers and its applications

Monte Carlo Methods and Applications

Volumn 2, Issue 3, 1996, Pages 191-217

  Ugrin Šparac, Dimitrije ^a  

^a UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

Canonical uniform generator; Monte Carlo method; P sen do random number generators; Statistical arithmetic; Statistical evaluation; Tests

Indexed keywords

EID: 0002393846     PISSN: 09299629     EISSN: 15693961     Source Type: Journal    
DOI: 10.1515/mcma.1996.2.3.191     Document Type: Article

References (10)

1. I. Boros, H. Niederreiter. Optimal multipliers for pseudo-random number generation by the linear congruential method. BIT, (1983), 23, 65-74. (Pubitemid 14624775)
2. D.E. Knuth. The art of computer programming, 2nd. ed., Addison-Wesley, Reading, 1981.
3. M.D. MacLaren, G. Marsaglia. Uniform random number generators, J. Assoc. Comp. Mach. (1965), 12, 83-89.
4. D. Shanks. Solved and unsolved problems in number theory, 3rd. ed., Chelsea, New York, 1985.
5. G. Ugrin-Sparac. On a distribution encountered in the renewal process based on uniform distribution. Glasnik Mat. Ser III, (1990), 25, 221-233.
6. G. Ugrin-Sparac. Stochastic investigations of pseudo-random number generators. Computing, (1991), 46, 53-65.
7. G. Ugrin-Sparac and D. Ugrin-Sparac. On a possible error of type II in statistical evaluation of pseudo-random number generators. Computing, (1996), 56, 105-116. (Pubitemid 126633578)
8. D. Ugrin-Sparac. Application of computers in pure mathematics-, (in Croatian, summary in English). Proceedings, International Symposium 'Computer at the University1, Cavtat, Yugoslavia, 1982.
9. D. Ugrin-Sparac. Jedno videnje suvremene teorije brojeva. (in Croatian). A view to the contemporary number theory, Brojevi, Proceedings, 313-333, Skolska Knjiga, Zagreb, 1985.
10. D. Ugrin-Sparac. Problem of uniqueness in the renewal process generated by the uniform distribution. J. Appl Math. Stoch. Analysis, (1992), 4, 291-306.