Free Access
Issue
ESAIM: PS
Volume 15, 2011
Page(s) 340 - 357
DOI https://doi.org/10.1051/ps/2010005
Published online 05 January 2012
  1. O. Barndorff-Nielsen and B.V. Pederson, The bivariate Hermite polynomials up to order six. Scand. J. Stat. 6 (1978) 127–128. [Google Scholar]
  2. R.A. Fisher, Introduction of “Table of Hh functions”, of Airey (1931), xxvi–xxxvii, Mathematical Tables, 2nd edition 1946, 3th edition 1951. British Association for the Advancement of Science, London (1931), Vol. 1, [Google Scholar]
  3. C.R. Goodall and K.V. Mardia, A geometric derivation of the shape density. Adv. Appl. Prob. 23 (1991) 496–514. [CrossRef] [Google Scholar]
  4. B. Holmquist, Moments and cumulants of the multivariate normal distribution. Stoch. Anal. Appl. 6 (1988) 273–278. [CrossRef] [Google Scholar]
  5. T. Kollo and D. von Rosen, Advanced Multivariate Statistics with Matrices. Springer, New York (2005). [Google Scholar]
  6. S. Kotz, N. Balakrishnan and N.L. Johnson, Continuous Multivariate Distributions. 2nd edition, Wiley, New York (2000) Vol. 1. [Google Scholar]
  7. S. Kotz and S. Nadarajah, Multivariate t Distributions and Their Applications. Cambridge University Press, Cambridge (2004). [Google Scholar]
  8. K.V. Mardia, Fisher's repeated normal integral function and shape distributions. J. Appl. Stat. 25 (1998) 231–235. [CrossRef] [Google Scholar]
  9. D.B. Owen, Handbook of Statistical Tables. Addison Wesley, Reading, Massachusetts (1962). [Google Scholar]
  10. B. Presnell and P. Rumcheva, The mean resultant length of the spherically projected normal distribution. Stat. Prob. Lett. 78 (2008) 557–563. [CrossRef] [Google Scholar]
  11. H. Ruben, An asymptotic expansion for the multivariate normal distribution and Mills ratio. J. Res. Nat. Bureau Stand. B 68 (1964) 3–11. [Google Scholar]
  12. R. Savage, Mills ratio for multivariate normal distributions. Journal of Research of the National Bureau of Standards B 66 (1962) 93–96. [Google Scholar]
  13. G.P. Steck, Lower bounds for the multivariate normal Mills ratio. Ann. Prob. 7 (1979) 547–551. [CrossRef] [Google Scholar]
  14. Y.L. Tong, The Multivariate Normal Distribution. Springer Verlag, New York (1990). [Google Scholar]
  15. D. von Rosen, Infuential observations in multivariate linear models. Scand. J. Stat. 22 (1995) 207–222. [Google Scholar]
  16. C.S. Withers, A chain rule for differentiation with applications to multivariate Hermite polynomials. Bull. Aust. Math. Soc. 30 (1984) 247–250. [CrossRef] [Google Scholar]
  17. C.S. Withers, The moments of the multivariate normal. Bull. Aust. Math. Soc. 32 (1985) 103–108. [CrossRef] [Google Scholar]

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