Contour plot (on the plane) of the ESAG and Kent distributions without any data: Contour plot (on the plane) of the ESAG and Kent and ESAG distributions without any data
Description
The contour plot (on the plane) of the spherical ESAG and Kent distributions is produced.
Usage
esag.contour(mu, gam, lat, long)
kent.contour(k, b)
Value
A plot containing the contours of the distribution.
Arguments
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 \(R^3\).
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.
References
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.