MLE of the Purkayashta distribution
MLE of the Purkayashta distribution.
purka.mle(x, tol = 1e-07)
x |
A numerical vector with data expressed in radians or a matrix with spherical data. |
tol |
The tolerance value to terminate the Brent algorithm. |
MLE of the Purkayastha distribution is performed.
A list including:
theta |
The median direction. |
alpha |
The concentration parameter. |
loglik |
The log-likelihood. |
alpha.sd |
The standard error of the concentration parameter. |
Michail Tsagris
R implementation and documentation: Michail Tsagris mtsagris@uoc.gr
Purkayastha S. (1991). A Rotationally Symmetric Directional Distribution: Obtained through Maximum Likelihood Characterization. The Indian Journal of Statistics, Series A, 53(1): 70-83
Cabrera J. and Watson G. S. (1990). On a spherical median related distribution. Communications in Statistics-Theory and Methods, 19(6): 1973-1986.
x <- cbind( rnorm(100,1,1), rnorm(100, 2, 1) ) x <- x / sqrt(rowSums(x^2)) purka.mle(x)
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