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Comment on “Algorithm for normal random numbers”

M. I. J. Probert*

  • Cavendish Laboratory, University of Cambridge, Madingley Road, Cambridge CB3 0HE, United Kingdom

  • *Author to whom correspondence should be addressed

Phys. Rev. E 63, 058701 – Published 9 April, 2001

DOI: https://doi.org/10.1103/PhysRevE.63.058701

Abstract

We have performed some simple statistical tests on the recently proposed algorithm for generating normally distributed random numbers and we find that it has some serious flaws with regard to practical application. In particular, we find that there is a statistically significant difference between the sample mean and that expected when using the original authors’ recommended parameters of the algorithm. Only by significantly increasing these parameters, at the cost of considerable extra computational effort, do we get satisfactory statistics.

Comments & Replies

Reply to “Comment on ‘Algorithm for normal random numbers’ ”

Julio F. Fernández and Carlos Criado
Phys. Rev. E 63, 058702 (2001)

Original Article

Algorithm for normal random numbers

Julio F. Fernández and Carlos Criado
Phys. Rev. E 60, 3361 (1999)

References (5)

  1. J.F. Fernández and C. Criado, Phys. Rev. E 60, 3361 (1999).
  2. G.E.P. Box and M.E. Muller, Ann. Math. Stat. 29, 610 (1958).
  3. S.K. Park and K.W. Miller, Commun. ACM 31, 1192 (1988).
  4. G. Marsaglia, Linear Algebr. Appl. 67, 147 (1985).
  5. G. Cowan, Statistical Data Analysis (Oxford University Press, Oxford, 1998), p. 68.

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