Annals of Operations Research

, Volume 31, Issue 1, pp 323–345

Recent trends in random number and random vector generation

  • Harald Niederreiter

DOI: 10.1007/BF02204856

Cite this article as:
Niederreiter, H. Ann Oper Res (1991) 31: 323. doi:10.1007/BF02204856


A survey of recent work in the areas of uniform pseudorandom number and uniform pseudorandom vector generation is presented. The emphasis is on methods for which a detailed theory is available. A progress report on the construction of quasirandom points for efficient multidimensional numerical integration is also given.


uniform pseudorandom numbersuniformity testserial testlattice testlinear congruential methodnonlinear congruential methodinversive congruential methoddigital multistep methodGFSR methoduniform pseudorandom vectorsmatrix generatorquasirandom pointsdiscrepancymultidimensional numerical integration

Copyright information

© J.C. Baltzer A. G. Scientific Publishing Company 1991

Authors and Affiliations

  • Harald Niederreiter
    • 1
  1. 1.Institute for Information ProcessingAustrian Academy of SciencesViennaAustria