colcirc.mle: Column-wise MLE of some circular distributions

In circda: Circular Data Analysis

Column-wise MLE of some circular distributions

Description

Column-wise MLE of some circular distributions.

Usage

colcirc.mle(u, rads = TRUE, type = "vm", tol = 1e-07, maxiters = 100, parallel = FALSE)

Arguments

u	A numerical matrix with the circular data.
rads	If the data are expressed in angles set this to FALSE.
type	The distribution to fit, "vm" is von Mises distribution, "cp" is the circular Purkayastha distribution, "pn" is projected normal distribution, "gcpc" is GCPC distribution and "cipc" is CIPC (or wrapped Cauchy) distribution.
tol	The tolerance level to stop the iterative process of finding the MLEs.
maxiters	The maximum number of iterations to implement. This is for the "spml" only.
parallel	Should the computations take place in parallel? This is for the "spml" only.

Details

The function performs MLE of circular distributions for each column of a matrix.

Value

A matrix with two, columns. The first one contains the parameters of the distribution and the second columns contains the log-likelihood values.

Author(s)

Michail Tsagris.

R implementation and documentation: Michail Tsagris [e-mail].

References

Mardia K. V. and Jupp P. E. (2000). Directional statistics. Chicester: John Wiley & Sons.

Sra S. (2012). A short note on parameter approximation for von Mises-Fisher distributions: and a fast implementation of I_s(x). Computational Statistics, 27(1): 177–190.

Presnell Brett, Morrison Scott P. and Littell Ramon C. (1998). Projected multivariate linear models for directional data. Journal of the American Statistical Association, 93(443): 1068–1077.

Tsagris M. and Alzeley O. (2025). Circular and spherical projected Cauchy distributions: A Novel Framework for Circular and Directional Data Modelling. Australian & New Zealand Journal of Statistics, 67(1): 77–103. https://arxiv.org/pdf/2302.02468.pdf

Alzeley O. and Tsagris M. (2026). On the generalized circular projected Cauchy distribution. Mathematics, 14(11): 1934. https://www.mdpi.com/2227-7390/14/11/1934

Purkayastha S. (1991). A Rotationally Symmetric Directional Distribution: Obtained through Max- imum 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.mle

Examples

u <- matrix( circda::rcirc(200 * 10, mu = 3, kappa = 5), ncol = 10 )
res <- colcirc.mle(u)

circda documentation built on Sept. 15, 2026, 5:09 p.m.