Contour plot (on the plane) of the ESAG and Kent distributions without any data | R Documentation |

The contour plot (on the plane) of the spherical ESAG and Kent distributions is produced.

esag.contour(mu, gam, lat, long) kent.contour(k, b)

`k` |
The concentration parameter. |

`b` |
The ovalness parameter. It has to be less than k/2 in order for the distribution to be unimodal. Otherwise it is bimodal. |

`mu` |
The mean vector the ESAG distribution, a vector in |

`gam` |
The two gamma parameters of the ESAG distribution. |

`lat` |
A positive number determing the range of degrees to move left and right from the latitude center. See the example to better understand this argument. |

`long` |
A positive number determing the range of degrees to move up and down from the longitude center. See the example to better understand this argument. |

The goal of this function is for the user to see how the Kent or the SAG distribution looks like.

A plot containing the contours of the distribution.

Michail Tsagris and Christos Adam.

R implementation and documentation: Michail Tsagris mtsagris@uoc.gr and Christos Adam pada4m4@gmail.com.

Kent John (1982). The Fisher-Bingham distribution on the sphere. Journal of the Royal Statistical Society, Series B, 44(1): 71–80.

Paine P.J., Preston S.P., Tsagris M. and Wood A.T.A. (2018). An Elliptically Symmetric Angular Gaussian Distribution. Statistics and Computing, 28(3):689–697.

```
vmf.contour, vmf.kerncontour, spher.esag.contour
```

kent.contour(10, 4) mu <- colMeans( as.matrix( iris[,1:3] ) ) gam <- c(1,0.5) esag.contour(mu, gam, 50, 50) esag.contour(mu, gam, 30, 40)

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