Radix-b extensions to some common empirical tests for pseudorandom number generators

  • Authors:
  • Brad C. Johnson

  • Affiliations:
  • Univ. of Manitoba, Winnipeg, Man., Canada

  • Venue:
  • ACM Transactions on Modeling and Computer Simulation (TOMACS)
  • Year:
  • 1996

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Abstract

Empirical testing of computer generated pseudo-random sequences is widely practiced. Extensions to the coupon collector's and gap tests are presented that examine the distribution and independence of radix-b digit patterns in sequences with modulo of the form bw. An algorithm is given and the test is applied to a number of popular generators. Theoretical expected values are derived for a number of defects that may be present in a pseudorandom sequence and additional empirical evidence is given to support these values. The test has a simple model and a known distribution function. It is easily and efficiently implemented and easily adaptable to testing only the bits of interest, griven a certain application.