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Original Articles

Computation of bivariate gamma and inverted beta distribution functions

Pages 153-163 | Received 02 Apr 1993, Published online: 20 Mar 2007

References

  • Abramowitz , M. and Stegun , I.A. 1965 . Handbook of Mathematical Functions , New York : Dover .
  • Amos , D.E. and Bulgren , W.G. 1972 . Computation of a multivariate F distribution . Math.Comp , 26 : 255 – 264 .
  • Exton , H. 1976 . Multiple Hypergeometric Functions and Applications , Ellis Horwood : Chichester .
  • Gaver , D.P. 1970 . Multivariate Gamma Distributions Generated by Mixture , series A Vol. 32 , 123 – 126 . Sankhya .
  • Hutchinson , T.P. 1979 . Four applications of a bivariate Pareto distribution . Biom.J , 21 : 553 – 563 .
  • Lai , C.D. and Moore , T. 1984 . Probability integrals of a bivariate gamma distribution . J.Statist.Comput.Simul , 19 : 205 – 213 .
  • Lee , P.A. 1981 . The correlated bivariate inverted beta distribution . Biom.J , 23 : 693 – 703 .
  • Lenth , R.V. 1987 . Computing noncentral beta probabilities . Appl.Statist , 36 : 241 – 244 . Algorithm AS 226
  • Majunder , K.L. and Bhattacharjee , G.P. 1973 . The incomplete beta integral . Appl.Statist , 22 : 409 – 411 . Algorithm AS 63
  • Mardia , k.v. 1970 . Families of Bivariate Distributions , London : Griffin .
  • Norton , v. 1983 . A simple algorithm for computing the non-central F distribution . Appl. Statist , 32 : 84 – 85 .
  • Ong , S.H. 1990 . Mixture formulations of a bivariate negative binomial distribution with applications . Commun.Statist.-Theory Meth , 19 : 1303 – 1322 .
  • Ong , S.H. 1992 . The computer generation of bivariate binomial variables with given marginals and correlation . Commun.Statist.-Simula , 21 : 285 – 299 .
  • Rice , S.O. 1944 . Mathematical analysis of random noise . Bell Sys.Tech.J , 23 : 282 – 332 .
  • Shea , B.L. 1988 . Chi-squared and incomplete gamma integral . Appl.Statist , 37 : 466 – 473 . Algorithm AS239

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