Hypothesis test for von Mises-Fisher distribution over Kent distribution | R Documentation |

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)

`x` |
A numeric matrix containing the data as unit vectors in Euclidean coordinates. |

`B` |
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:

`test` |
The value of the test statistic |

`p-value or Bootstrap p-value` |
The p-value of the test. |

Michail Tsagris.

R implementation and documentation: Michail Tsagris mtsagris@uoc.gr and Giorgos Athineou <gioathineou@gmail.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.

```
iagesag, vmf.mle, kent.mle, rkent
```

x <- rvmf(100, rnorm(3), 15) fishkent(x) fishkent(x, B = 1) iagesag(x)

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