MLe of the Wood bimodal distribution on the sphere
It estimates the parameters of the Wood bimodal distribution.
wood.mle(y)
y |
A matrix containing two columns. The first one is the latitude and the second is the longitude, both expressed in degrees. |
The Wood distribution is fitted to some data and its parameters are estimated. It is a bimodal distribution which contains 5 parameters, just like the Kent distribution.
A list including:
info |
A 5 x 3 matrix containing the 5 parameters, gamma, delta, alpha, beta and kappa along with their corresponding 95% confidence intervals all expressed in degrees. |
modes |
The two axis of the modes of the distribution expressed in degrees. |
unitvectors |
A 3 x 3 matrix with the 3 unitvectors associated with the gamma and delta parameters. |
loglik |
The value of the log-likelihood. |
Michail Tsagris.
R implementation and documentation: Michail Tsagris mtsagris@uoc.gr and Giorgos Athineou <gioathineou@gmail.com>.
Wood A.T.A. (1982). A bimodal distribution on the sphere. Journal of the Royal Statistical Society, Series C, 31(1): 52-58.
x <- rvmf(100, rnorm(3), 15) x <- euclid.inv(x) wood.mle(x)
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