Directional (version 4.0)

MLE of the Purkayashta distribution: MLE of the Purkayashta distribution

Description

MLE of the Purkayashta distribution.

Usage

purka.mle(x, tol = 1e-07)

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.

Value

A list including:

theta

The median direction.

alpha

The concentration parameter.

loglik

The log-likelihood.

alpha.sd

The standard error of the concentration parameter.

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.

See Also

circ.cor1

Examples

# NOT RUN {
x <- cbind( rnorm(100,1,1), rnorm(100, 2, 1) )
x <- x / sqrt(rowSums(x^2))
purka.mle(x)
# }