Hypothesis test for von Mises-Fisher distribution over Kent distribution
The null hypothesis is whether a von Mises-Fisher distribution fits the data well, where the altenrative is that Kent distribution is more suitable.
fishkent(x, B = 999)
A numeric matrix containing the data as unit vectors, i.e. in Euclidean coordinates.
The number of bootstrap re-samples. By default is set to 999. If it is equal to 1, no bootstrap is performed and the p-value is obtained throught the asymptotic distribution.
Essentially it is a test of rotational symmetry, whether Kent's ovalness parameter (beta) is equal to zero. This works for spherical data only.
A vector including:
The value of the test statistic
The p-value of the test.
R implementation and documentation: Michail Tsagris <firstname.lastname@example.org> and Giorgos Athineou <email@example.com>
Rivest, L. P. (1986). Modified Kent's statistics for testing goodness of fit for the Fisher distribution in small concentrated samples. Statistics & probability letters, 4(1): 1-4.
vmf, kent.mle, rkent
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