An approximation to the distribution of the resultant from a fisher distribution

References

• Diggle , P.J. , Fisher , N.I. and Lee , A.J. 1985 . A comparison of tests of uniformity for spherical data. Austral . J. Statist , 27 : 53 – 59 .
   Google Scholar
• Fisher , N.I. , Lewis , T. and Embleton , B.J.J. 1987 . Statistical Analysis of Spherical Data , Cambridge University Press .
   Google Scholar
• Fisher , R.A. 1953 . Dispersion on a sphere . Proc Roy. Soc, Lond , A125 : 54 – 59 .
   Google Scholar
• Mardia , K.V. 1972 . Statistics of Directional Data , Academic Press .
   Google Scholar
• Mudholkar , G.S. and Trivedi , M.C. 1980 . A normal approximation for the distribution of the likelihood ratio statistic in multivariate analysis of variance . Biometrika , 67 : 485 – 488 .
   Web of Science ®Google Scholar
• Pearson , E.S. 1959 . Note on an approximation to the distribution of non-central x2 . Biometrika , 46 : 364
   Web of Science ®Google Scholar
• Steinmetz , R. 1962 . Analysis of vectorial data . Jml. Of Sed. Petro , 32 : 801 – 812 .
   Google Scholar
• Stephens , M.A. 1967 . Tests for dispersion and for the modal vector of a distribution on a sphere . Biometrika , 54 : 211 – 223 .
   PubMedGoogle Scholar
• Watson , G.S. 1956 . A test for randomness of directions . Monthly Notices, Royal Astronomical Society, Geophysical Supplement , 7 : 160 – 161 .
   Google Scholar
• Watson , G.S. and Williams , E.J. 1956 . On construction of significance tests on the circle and the sphere . Biometrika , 43 : 344 – 352 .
   Web of Science ®Google Scholar