Average behaviour of compound nonlinear congruential pseudorandom numbers

Finite Fields and their Applications

Volumn 2, Issue 1, 1996, Pages 111-123

  Eichenauer Herrmann, JÜRGEN ^a   Larcher, Gerhard ^b  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF SALZBURG   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0029684598     PISSN: 10715797     EISSN: None     Source Type: Journal    
DOI: 10.1006/ffta.1996.0008     Document Type: Article

References (13)

1. 1. J. Eichenauer-Herrmann, Inversive congruential pseudorandom numbers: A tutorial, Internat. Statist. Rev. 60 (1992), 167-176.
2. 2. J. Eichenauer-Herrmann, Equidistribution properties of nonlinear congruential pseudorandom numbers, Metrika 40 (1993), 333-338.
3. 3. J. Eichenauer-Herrmann, Compound nonlinear congruential pseudorandom numbers, Monatsh. Math. 117 (1994), 213-222.
4. 4. J. Eichenauer-Herrmann, A unified approach to the analysis of compound pseudorandom numbers, Finite Fields Appl. 1 (1995), 102-114.
5. 5. J. Eichenauer-Herrmann, Pseudorandom number generation by nonlinear methods, Internat. Statist. Rev., to appear.
6. 6. J. Eichenauer-Herrmann and F. Emmerich, Compound inversive congruential pseudorandom numbers: An average-case analysis, Math. Comp., to appear.
7. 7. J. Eichenauer-Herrmann and H. Niederreiter, On the statistical independence of nonlinear congruential pseudorandom numbers, ACM Trans. Modeling Comput. Simulation 4 (1994), 89-95.
8. 8. J. Kiefer, On large deviations of the empiric d.f. of vector chance variables and a law of the iterated logarithm, Pacific J. Math. 11 (1961), 649-660.
9. 9. H. Niederreiter, Statistical independence of nonlinear congruential pseudorandom numbers, Monatsh. Math. 106 (1988), 149-159.
10. 10. H. Niederreiter, Recent trends in random number and random vector generation, Ann. Oper. Res. 31 (1991), 323-346.
11. 11. H. Niederreiter, Finite fields, pseudorandom numbers, and quasirandom points, in "Finite Fields, Coding Theory, and Advances in Communications and Computing (G. L. Mullen and P. J.-S. Shiue, Eds.), pp. 375-394, Dekker, New York, 1992.
12. 12. H. Niederreiter, Nonlinear methods for pseudorandom number and vector generation, in "Simulaton and Optimization" (G. Pflug and U. Dieter, Eds.), pp. 145-153, Lecture Notes in Econom. and Math. Systems, Vol. 374, Springer-Verlag, Berlin, 1992.
13. 13. H. Niederreiter, "Random Number Generation and Quasi-Monte Carlo Methods," SIAM, Philadelphia, 1992.