Skip to main content
Log in

New methods for generating student's t and gamma variables

Neue Methoden zur Erzeugung von Students t und Gamma-Zufallsveränderlichen

  • Short Communications
  • Published:
Computing Aims and scope Submit manuscript

Abstract

Algorithms based on ratio-of-uniforms method are developed for generating random variables from the Student'st and gamma families.

Zusammenfassung

Algorithmen, die auf der „Ratio of Uniforms”-Methode basieren, werden entwickelt, um Zufallsveränderliche der Studentst und Gamma-Familien zu erzeugen.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Ahrens, J. H., Dieter, U.: Computer methods for sampling from gamma, beta, Poisson and binomial distributions. Computing12, 223–246 (1974).

    Google Scholar 

  2. Best, D. J.: Letter to the Editors. Applied Statistics27, 181 (1978).

    Google Scholar 

  3. Cheng, R. C. H.: The generation of gamma variables with non-integral shape parameter. Applied Statistics26, 71–75 (1977).

    Google Scholar 

  4. Kinderman, A. J., Monahan, J. F.: Computer generation of random variables using the ratio of uniform deviates. ACM Trans. Math. Software3, 257–260 (1977).

    Google Scholar 

  5. Kinderman, A. J., Monahan, J. F., Ramage, J. G.: Computer methods for sampling from student'st distribution. Math. Comp.31, 1009–1018 (1977).

    Google Scholar 

  6. Lewis, T. G., Payne, W. H. Generalized feedback shift register pseudo random number algorithm. Jour. ACM20, 456–468 (1973).

    Google Scholar 

  7. Marsaglia, G.: Squeeze method for generating gamma variates. Comp. Math. Applic.3, 321–326 (1977).

    Google Scholar 

  8. Tadikamalla, P. R.: Computer generation of gamma random variables — II. Comm. ACM21, 925–927 (1978).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work supported by contract EY-76-C-02-0016 with the U.S. Department of Energy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kinderman, A.J., Monahan, J.F. New methods for generating student's t and gamma variables. Computing 25, 369–377 (1980). https://doi.org/10.1007/BF02285231

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02285231

Keywords

Navigation