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Simulation and analysis with IMSL routines

Published:01 December 1986Publication History

ABSTRACT

The IMSL Library is a unified collection of over 500 FORTRAN subroutines for applications in statistics, operations research, and other areas of applied mathematics. Routines are available for generating random numbers from eighteen univariate distributions, from three multivariate distributions, and from two time series models. In addition, several routines are provided for parameter estimation and for goodness-of-fit tests. This tutorial discusses the use of the IMSL Library in simulation and statistical analysis.

References

  1. Bays, Carter, and S. D. Durham (1976), Improving a poor random number generator, ACM Transactions on A4rathematica/Soft, ware, 2, 59-64. Google ScholarGoogle ScholarDigital LibraryDigital Library
  2. Coveyou, R. R., and R. D. MacPherson (1967), Fourier analysLs of uniform random number generators, Journal of the ACM, 14, 100-119. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. Fishman, George F., and Louis R. Moore, Ill (1982), A statistical evaluation of multiplicative random number generators with modulus 23x - 1, Journal on the American Statistical Association, TT, 129-136.Google ScholarGoogle Scholar
  4. Fishman, George F., and Louis R. Moore, III (1986), An exhaustive analysis of multipUcative congruential random number generators with modulus 2sl- 1, SIAM Journal on Scientific and Sta~istical Computing, 7, 24-45. Google ScholarGoogle ScholarDigital LibraryDigital Library
  5. Gentle, James E. (1981), Portability considerations for random number generators, in Computer Science and Statistics: Proceedings of the 13th Symposium on the/nter/ace, (edited by William F. Eddy), Springer-Verlag, New York, 158-164.Google ScholarGoogle ScholarCross RefCross Ref
  6. Kennedy, William J., and James E. Gentle (1980), Statistical Computing, Marcel Dekker, Inc., New York.Google ScholarGoogle Scholar
  7. Knuth, Donald E., (1981), The Art of Computer Programming, Volume 2 / Seminumerical Algorithms, second edition, Addison-Wesley, Reading, Massachesetts. Google ScholarGoogle ScholarDigital LibraryDigital Library
  8. Learmonth, G. P., and P. A. W. Lewis (1973a), Naval Postgraduate School Random Number Generator Package LL- RANDOM, NPS55LW73061A, Naval Postgraduate School, Monterey, California.Google ScholarGoogle Scholar
  9. Learmonth, G. P., and P. A. W. Lewis (1973b), Statistical tests of some widely used and recently proposed uniform random number generators, in Computer Science and S~atis~ics: 7th Annum Symposium on the Interface, (edited by William J. Kennedy), Statistical Laboratory, Iowa State University, Ames, Iowa, 163-171.Google ScholarGoogle Scholar
  10. Lewis, P. A. W., A. S. Goodman, and J. M. Miller (1969), A pseudo-random number generator for the System/360, IBM Systems Journal, 8, 136-146.Google ScholarGoogle ScholarDigital LibraryDigital Library
  11. Marsaglia, G., (1968), Random numbers fall mainly in, the planes, Proceedings of the National Academy of Sciences, 61, 25-28.Google ScholarGoogle ScholarCross RefCross Ref
  12. Maxsaglia, G., (1972), The structure of linear congruential sequences, in Applications of Number Theory to Numerical Analysis, (edited by S. K. Zaremba), Academic Press, New York, 249--286.Google ScholarGoogle Scholar
  13. Schmeiser, Bruce, (1983), Recent advances in generation of observations from discrete random variates, in Computer Science and Statistics: The/n~erface, (edited by James E. Gentle), North-Holland Publishing Company, Amsterdam, 154-160.Google ScholarGoogle Scholar

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        • Published in

          cover image ACM Conferences
          WSC '86: Proceedings of the 18th conference on Winter simulation
          December 1986
          890 pages
          ISBN:0911801111
          DOI:10.1145/318242

          Copyright © 1986 ACM

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          Publication History

          • Published: 1 December 1986

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