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F2-Linear Random Number Generators

In: Advancing the Frontiers of Simulation

Author

Listed:
  • Pierre L’Ecuyer

    (Université de Montréal)

  • François Panneton

    (Standard Life Investments Inc.)

Abstract

Random number generators based on linear recurrences modulo 2 are among the fastest long-period generators currently available. The uniformity and independence of the points they produce, by taking vectors of successive output values from all possible initial states, can be measured by theoretical figures of merit that can be computed quickly, and the generators having good values for these figures of merit are statistically reliable in general. Some of these generators can also provide disjoint streams and substreams efficiently. In this paper, we review the most interesting construction methods for these generators, examine their theoretical and empirical properties, describe the relevant computational tools and algorithms, and make comparisons.

Suggested Citation

  • Pierre L’Ecuyer & François Panneton, 2009. "F2-Linear Random Number Generators," International Series in Operations Research & Management Science, in: Christos Alexopoulos & David Goldsman & James R. Wilson (ed.), Advancing the Frontiers of Simulation, pages 169-193, Springer.
    • Handle: RePEc:spr:isochp:978-1-4419-0817-9_9
    DOI: 10.1007/b110059_9
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    Cited by:

    1. L’Ecuyer, Pierre & Munger, David & Oreshkin, Boris & Simard, Richard, 2017. "Random numbers for parallel computers: Requirements and methods, with emphasis on GPUs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 135(C), pages 3-17.
    2. Harase, Shin, 2019. "Conversion of Mersenne Twister to double-precision floating-point numbers," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 161(C), pages 76-83.

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