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Original Articles

Numerical evaluation of an equicorrelated multivariate non-central t distribution

Numerical evaluation of an equicorrelated multivariate non-central t distribution

Pages 41-50 | Received 01 Apr 1979, Published online: 27 Jun 2007

References

  • Abramowitz , M. and Stegun , I. A. , eds. 1964 . Handbook of Mathematical Functions , New York : Dover Publications, Inc .
  • Amos , D. E. and Bulgren , W. G. 1969 . On the computation of a bivariate t-distribution . Mathematics of Computation , 23 : 319 – 333 .
  • Amos , D. E. and Bulgren , W. G. 1972 . Computation of a multivariate F distribution . Mathematics of Computation , 26 : 255 – 264 .
  • Bland , R. P. and Owen , D. B. 1966 . A note on singular normal distributions . Annals of the Institute of Statistical Mathematics , 18 : 113 – 116 .
  • Dunnett , C. W. 1955 . A multiple comparison procedure for comparing several treatments with a control . J. American Statistical Association , 50 : 1096 – 1121 .
  • Dunnett , C. W. and Sobel , M. 1954 . A bivariate generalization of Studentá distribution with tables for certain cases . Biometrika , 41 : 153 – 169 .
  • Dunnett , C. W. and Sobel , M. 1955 . Approximations to the probability integral and certain percentage points of a multivariate analogue of Studentás t distribution . Biometrika , 42 : 258 – 260 .
  • Gupta, S. S. (1956). On a decision rule for a problem in ranking means. Ph. D. Thesis (Mimeo. Ser. No. 150). Institute of Statistics, University of North Carolina, Chapel Hill, North Carolina
  • Gupta , S. S. 1963a . Probability integrals of the multivariate normal and multivariate t . Annals Mathematical Statistics , 34 : 792 – 828 .
  • Gupta , S. S. 1963b . Bibliography on the multivariate normal integrals and related topics . Annals Mathematical Statistics , 34 : 829 – 838 .
  • Gupta , S. S. and Sobel , M. 1957 . On a statistics which arises in selection and ranking problems . Annals Mathematical Statistics , 28 : 957 – 967 .
  • Krishnaiah , P. R. and Armitage , J. V. 1966 . Tables for multivariate t-distribution . Sankhya , 28 : 31 – 56 .
  • Ramig , P. F. and Nelson , P. R. 1980 . The probability integral for a bivariate generalization of the non-central t . Communications in Statistics , 9 ( 6 )
  • Rizvi , M. H. 1971 . Some selection problems involving folded normal distribution . Technometrics , 13 ( 6 ) : 355 – 369 .
  • Schilling , E. G. 1973a . A systematic approach to the analysis of means, part I: analysis of treatment effects . J. Quality Technology , 5 ( 6 ) : 93 – 108 .
  • Schilling , E. G. 1973b . A systematic approach to the analysis of means, part II: analysis of treatment effects, part III: analysis of non-normal data . J. Quality Technology , 5 ( 6 ) : 147 – 159 .
  • Steck , G. P. and Owen , D. B. 1962 . A note on the equicorrel-ated multivariate normal distribution . Biometrika , 49 ( 6 ) : 269 – 271 .

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