Explicit digital inversive pseudorandom numbers

Mordechay B. Levin

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 5, page 581-598
  • ISSN: 0139-9918

How to cite

top

Levin, Mordechay B.. "Explicit digital inversive pseudorandom numbers." Mathematica Slovaca 50.5 (2000): 581-598. <http://eudml.org/doc/34526>.

@article{Levin2000,
author = {Levin, Mordechay B.},
journal = {Mathematica Slovaca},
keywords = {random number generation; discrepancy; algorithm; explicit digital inversive method; uniform pseudorandom numbers; statistical independence; exponential sums; Weil bound},
language = {eng},
number = {5},
pages = {581-598},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Explicit digital inversive pseudorandom numbers},
url = {http://eudml.org/doc/34526},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Levin, Mordechay B.
TI - Explicit digital inversive pseudorandom numbers
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 5
SP - 581
EP - 598
LA - eng
KW - random number generation; discrepancy; algorithm; explicit digital inversive method; uniform pseudorandom numbers; statistical independence; exponential sums; Weil bound
UR - http://eudml.org/doc/34526
ER -

References

top
  1. DRMOTA M.-TICHY R. F., Sequences, Discrepancies and Applications, Lecture Notes in Math. 1651, Springer-Verlag, New York, 1997. (1997) Zbl0877.11043MR1470456
  2. EICHENAUER-HERRMANN J., Pseudorandom number generation by nonlinear methods, Internat. Statist. Rev. 63 (1995), 247-255. (1995) Zbl0840.65005
  3. EICHENAUER-HERRMANN J.-NIEDERREITER H., Digital inversive pseudo-random numbers, ACM Trans. Model. Comput. Simul. 4 (1994), 339-349. (1994) 
  4. EMMERICH F., Statistical independence properties of inversive pseudorandom vectors over parts of the period, ACM Trans. Model. Comput. Simul. 8 (1998), 140-152. (1998) 
  5. HELLEKALEK P.-LARCHER G., Random and Quasi-Random Point Sets, Lectures Notes in Statist. 138, Springer-Verlag, New York, 1998. (1998) Zbl0937.65004MR1662838
  6. KOROBOV N. M., Exponential Sums and Their Applications, Kluwer Academic Publishers, Dordrecht, 1992. (1992) Zbl0754.11022MR1162539
  7. L'ECUYER P., Uniform number generation, Ann. Oper. Res. 53 (1994), 77-120. (1994) MR1310607
  8. LEVIN M. B., On the choice of parameters in generators of pseudorandom numbers, Sov. Math. Dokl 40 (1989), 101-105. (1989) MR1020377
  9. LIDL R.-NIEDERREITER H., Finite Fields, Addison-Wesley, Reading, Mass., 1983. (1983) Zbl0554.12010MR0746963
  10. MORENO, C J.-MORENO O., Exponential sums and Goppa codes. I, Proc. Amer. Math. Soc. Ill (1991), 523-531. (1991) Zbl0716.94010MR1028291
  11. NIEDERREITER H., Pseudo-random numbers and optimal coefficients, Adv. Math. 26 (1977), 99-181. (1977) Zbl0366.65004MR0476679
  12. NIEDERREITER H., Random Number Generation and Quasi-Monte Carlo Methods, CBMS-NSF Regional Conf. Ser. in Appl. Math. 63, SIAM, Philadelphia, PA, 1992. (1992) Zbl0761.65002MR1172997
  13. NIEDERREITER H., Pseudorandom vector generation by the inversive method, AGM Trans. Model Comput. Simul. 4 (1994), 191-212. (1994) Zbl0847.11039
  14. NIEDERREITER H., On a new class of pseudorandom numbers for simulation methods, J. Comput. Appl. Math. 56 (1994), 159-167. (1994) Zbl0823.65010MR1338642
  15. NIEDERREITER H.-HELLEKALEK P.-LARCHER G.-ZINTERHOF P., Monte Carlo and Quasi-Monte Carlo Methods 1996, Lectures Notes in Statist. 127, Springer-Verlag, New York, 1997. (1997) Zbl0879.00054MR1644508
  16. TEZUKA S., Uniform Random Numbers. Theory and Practice, Kluwer Academic Publishers, Dordrecht, 1995. (1995) Zbl0841.65004

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.