MLE of the Purkayashta distribution: MLE of the Purkayashta distribution
Description
MLE of the Purkayashta distribution.
Usage
purka.mle(x, tol = 1e-07)
Value
A list including:
theta
The median direction.
circtheta
In case of circular data the circular mean is also returned.
alpha
The concentration parameter.
loglik
The log-likelihood.
alpha.sd
The standard error of the concentration parameter.
Arguments
x
A numerical vector with data expressed in radians or a matrix with spherical data.
tol
The tolerance value to terminate the Brent algorithm.
Author
Michail Tsagris.
R implementation and documentation: Michail Tsagris mtsagris@uoc.gr.
Details
MLE of the Purkayastha distribution is performed.
References
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.