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Original Articles

On the computation of central and noncentral beta probabilities

Pages 1-10 | Received 09 Apr 1991, Published online: 20 Mar 2007

References

  • Abramowitz , M. and Stegun , I. , eds. 1965 . Handbook of Mathematical Functions , New York : Dover Publications Inc .
  • Aroian , L.A. 1941 . Continued fractions for the incomplete beta function . Ann. of Math. Statist , 12 : 218 – 223 .
  • Bancroft , T.A. 1949 . Some recurrence formulae in the incomplete beta function . Ann. of Math. Statist , 20 : 451 – 455 .
  • Bosten , N.E. and Battist , E.L. 1974 . Remark on Algorithm 179 . CACM , 17 : 156 – 157 .
  • Gautschi , W. 1964 . Algorithm 222: Incomplete beta function ratios . CACM , 7 : 71 – 72 .
  • Gautschi , W. 1979 . Incomplete gamma functions . Ass. Comput. Mach. Trans. Math. Softwr , 5 : 482 – 489 .
  • George , E.O. and Ojo , M.O. 1980 . On a generalization of the logistic distribution . Ann. of lnst. Statist. Math , A32 : 161 – 169 .
  • Griffiths , P. and Hill , I.D. 1985 . Applied Statistics Algorithms , Ellis Horwood Limited .
  • Guenther , W.C. 1978 . Evaluation of probabilities for noncentral distributions and the difference of two T-variables with a desk calculator . J. Statist. Comput. Simul , 6 : 199 – 206 .
  • IMSL IMSL STAT/ Library 1987 Version 1.0
  • Johnson , N.L. and Kotz , S. 1970 . Continuous Univariate Distributions , New York : Wiley .
  • Kennedy , W.J. and Gentle , J.E. 1980 . Statistical Computing , New York : Marcel Dekker .
  • Klotz , J. 1988 . An incomplete beta series with argument x(1 - x) . Communications in Statist , : 1333 – 1338 .
  • Lee C. M.-S. On the computation of F-cumulative probabilities Communications in Statist. 1988 1191 1201 B, to appear
  • Lee , C.M.S. 1988 . On the computation of F-cumulative probabilities . Communications in Statist , : 1191 – 1201 .
  • Lee C. M.-S. An algorithm for incomplete beta integral ASA Proceedings, Sec. Statist. Comp. 1989 89 93
  • Lenth R. V. Computing noncentral beta probabilities Applied Statist. 1987 241 244
  • Ludwig , O.G. 1963 . Algorithm 179: Incomplete beta ratio . CACM , 6 : 314 – 314 .
  • Majumder , K.L. and Bhattacharjee , G.P. 1973 . Algorithm AS63: The incomplete beta integral . Applied Statist , 22 : 409 – 411 .
  • Muller , J.H. 1931 . On the application of continued fractions to the incomplete beta function . Biometrika , 22 : 284 – 297 .
  • Peizer , D.B. and Pratt , J.W. 1968 . A normal approximation for binomial, F, Beta, and other common related tail probabilities, I . JASA , 63 : 1416 – 1456 .
  • Pike , M.C. and Hill , I.D. 1967 . Remark on Algorithm 179: Incomplete beta ratio . CACM , 10 : 375 – 376 .
  • Posten , H.O. 1986 . “ Algorithms for the beta distribution function ” . In Proceedings in Compo Statist 309 – 319 . Rome
  • Pratt , J.W. 1968 . A normal approximation for Binomial, F, Beta, and related tail probabilities, II . JASA , 63 : 1457 – 1483 .
  • Shea , B.L. 1988 . Algorithm AS239: Chi-squared and incomplete gamma integral . Applied Statist , 37 : 466 – 473 .
  • Soper , H.E. 1921 . “ The numerical evaluation of the incomplete B-function ” . In Tracts for Computers , Edited by: Pearson , K. London : Cambridge University Press .
  • Singh , K.P. , Lee , C.M.S. and George , E.O. 1988 . On the generalized log-logistic model for survival data . Biometrical Journal , 30 : 843 – 850 .
  • Woods , J.D. and Posten , H.O. 1977 . The use of Fourier series in the evaluation of probability distribution functions . Commun. in Statist , B6 : 201 – 219 .

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