skip to main content
article
Free Access

Serial Correlation in the Generation of Pseudo-Random Numbers

Published:01 January 1960Publication History
Skip Abstract Section

Abstract

Many practiced and proposed methods for the generation of pseudo-random numbers for use in Monte Carlo calculation can be expressed in the following way: One chooses an integer P, the base; an integer λ, the multiplier, prime to P; and an integer μ, the increment, less than P (μ is frequently, but not always, zero).

References

  1. 1 D. H. LEHMER, Mathematical methods in large-scale computing units. Annals of the Computation Laboratory of Harvard University, No. 26, Proceedings of a Second Symposium on Large-Scale Digital Calculating Machinery, p. 141 (1951).Google ScholarGoogle Scholar
  2. 2 J. TODD AND O. TAUSSKY TODD, "Generation of Pseudo-Random Numbers," in Symposium on Monte Carlo Methods (H. A. Meyer, Ed ), pp. 15-28 (John Wiley and Sons, New York, 1956).Google ScholarGoogle Scholar
  3. 3 M. L. JuscosA, Random number generation on the BRL high-speed computing machines, Report No. 855, Ballistics Research Laboratories, Aberdeen Proving Ground, Maryland, 1953.Google ScholarGoogle Scholar
  4. 4 D. L. jOHNSON, Generating and testing pseudo-random numbers on the IBM Type 701, Math. Tables Aids Comp. 10 (1956), 8-13.Google ScholarGoogle Scholar
  5. 5 JAcK MOS~MAN, The generation of pseudo random numbers on a decimal calculator, J. Assoc. Comp. Mach. 1 (1954), 88-91. Google ScholarGoogle Scholar
  6. 6 EvE BOFINGER AND V. I. BOFINGER, A periodic property of pseudo-random sequences, J. Assoc. Comp Mach 5 (1958), 261-265. Google ScholarGoogle Scholar
  7. 7 J. E. CERTAINE, On sequences of pseudo-random numbers of maximal length, J Assoc. Comp. Mach 5 (1958), 353. Google ScholarGoogle Scholar

Index Terms

  1. Serial Correlation in the Generation of Pseudo-Random Numbers

    Recommendations

    Comments

    Login options

    Check if you have access through your login credentials or your institution to get full access on this article.

    Sign in

    Full Access

    • Published in

      cover image Journal of the ACM
      Journal of the ACM  Volume 7, Issue 1
      Jan. 1960
      79 pages
      ISSN:0004-5411
      EISSN:1557-735X
      DOI:10.1145/321008
      Issue’s Table of Contents

      Copyright © 1960 ACM

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 1 January 1960
      Published in jacm Volume 7, Issue 1

      Permissions

      Request permissions about this article.

      Request Permissions

      Check for updates

      Qualifiers

      • article

    PDF Format

    View or Download as a PDF file.

    PDF

    eReader

    View online with eReader.

    eReader