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The American Statistician Volume 47, 1993 - Issue 2
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Statistical Computing

An Effective Algorithm for the Noncentral Beta Distribution Function

Harry O. Posten Department of Statistics, University of Connecticut, Storrs, CT, 06269, USA
Pages 129-131 | Received 01 Oct 1991, Published online: 27 Feb 2012

References

  • Abramowitz , M. and Stegun , I. A. 1964 . Handbook of Mathematical Functions , Washington , DC : U.S. Government Printing Office .
  • Johnson , N. L. and Kotz , S. 1970 . Continuous Univariate Distributions , Vol. 2 , New York : John Wiley .
  • Kennedy , W. J. and Gentle , J. E. 1980 . Statistical Computing , New York : Marcel Dekker .
  • Lenth , R. V. 1987 . “Computing Noncentral Beta Probabilities” . Applied Statistics , 36 : 241 – 244 .
  • Posten , H. O. “Computer Algorithms for the Classical Distribution Functions” . Proceedings of the First International Conference on the Teaching of Statistics . Sheffield : University of Sheffield Printing Unit .
  • Posten , H. O. “Algorithms for the Beta Distribution Function” . Proceedings in Computational Statistics, Rome 1986 . Edited by: De Antonio , F. , Lauro , N. and Rizzi , A. pp. 309 – 319 . Heidelberg and Wien : Physica-Verlag .
  • Posten , H. O. 1989 . “An Effective Algorithm for the Noncentral Chi-Squared Distribution Function” . The American Statistician , 43 : 261 – 263 .
  • Seber , G. A. F. 1963 . “The Non-central Chi-squared and Beta Distribution Functions” . Biometrika , 50 : 542 – 544 .

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