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Original Articles

Approximations for central and noncentral bivariate chi-square distributions

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Pages 909-930 | Received 01 Mar 1999, Published online: 27 Jun 2007

References

  • Gunst , R. F. and Webster , J. T. 1973 . Density functions of the bivariate chi-square distribution . J. Statist. Comput. Simul , 2 : 275 – 288 .
  • Hawkins , D. M. and Wixley , R. A. J. 1986 . A note on the transformation of chi-squared variables to normality . Ante. Statistician , 40 : 296 – 298 .
  • IMSL (1989). International Mathematical and Statistical Libraries, Inc. Houston, Texas.
  • Johnson , N. L. , Kotz , S. and Balakrishnan , N. 1994 . Continuous Univariate Distributions , Vol. 1 , New York : John Wiley and Sons .
  • Johnson , N. L. , Kotz , S. and Balakrishnan , N. 1995 . Continuous Univariate Distributions , Vol. 2 , New York : John Wiley and Sons .
  • Kocherlakota , S. and Kocherlakota , K. 1991 . Process capability index: bivariate normal distribution . Commun. Statist. ‐ Theory Meth. , 20 : 2529 – 2547 .
  • Kocherlakota , S. and Kocherlakota , K. 1998 . “ Process capability indices for contaminated bivariate normal populations ” . In Quality Improvement through Statistical Methods , Edited by: Abraham , B. Boston, , USA : Birkhauser .
  • Luke , Y. L. 1975 . Mathematical Functions and their Approximations , New York : Academic Press .
  • Mardia , K. V. 1970 . Measures of multivariate skewness and kurtosis with applications . Biometrika , 52 : 519 – 520 .
  • Muirhead , R. J. 1982 . Aspects of Multivariate Statistical Theory , New York : John Wiley and Sons .
  • Patnaik , P. B. 1949 . The non-central x2 and F-distributions and their approximations . Biometrika , 26 : 202 – 232 .
  • Steyn , H. S. and Roux , J. J. J. 1972 . Approximations for the noncentral Wishart distribution . South African Statist. J. , 6 : 165 – 173 .
  • Wolfram, S. (1996). MATHEMATICA 3.0. Chicago: Wolfram Research, Inc.

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