Theoretical considerations of the multivariate von Mises-Fisher distribution
- 1 January 1988
- journal article
- research article
- Published by Taylor & Francis in Journal of Applied Statistics
- Vol. 15 (2) , 149-169
- https://doi.org/10.1080/02664768800000022
Abstract
We develop theorems that are analogous to the famous theorems of Lindley & Smith (1972) for the case that the data are from the p-variate von Mises-Fisher distribution. Results similar to those of Lindley & Smith are obtained for the two-stage case. There is, however, a departure from normal theory in the three-stage case, since closed form solutions do not exist when sampling Sfom the von Mises-Fisher distribution. The difference is discussed and elaborated.Keywords
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