cyl_rot_combine-class {cylcop}

An S4 Class of Circular-Linear Copulas generated from Linear Combinations of Copulas

Description

This class contains bivariate circular-linear copulas, generated from linear-linear bivariate 'Copula' objects of the package 'copula', by taking the arithmetic mean of the original copula and the 90 deg rotated copula. This results in copulas that are periodic in the circular dimension, u, and symmetric with respect to u=0.5, i.e. positive and negative angles.

Slots

name

character string holding the name of the copula.

parameters

numeric vector holding the parameter values.

param.names

character vector the parameter names.

param.lowbnd

numeric vector holding the lower bounds of the parameters.

param.upbnd

numeric vector holding the upper bounds of the parameters.

orig.cop

linear-linear 2-dimensional 'Copula' object of the package 'copula'.

shift

logical value indicating whether the (u-periodic) copula should be shifted by 0.5 in u direction.

Objects from the Class

Objects are created by cyl_rot_combine().

Extends

Class 'cyl_rot_combine' extends class 'Copula'.

References

Nelsen RB (2006). An Introduction to Copulas, volume 139 of Lecture Notes in Statistics. Springer New York, New York, NY. ISBN 978-0-387-98623-4, doi:10.1007/978-1-4757-3076-0, https://link.springer.com/book/10.1007/978-1-4757-3076-0.

Hodel FH, Fieberg JR (2022). “Circular-Linear Copulae for Animal Movement Data.” Methods in Ecology and Evolution. doi:10.1111/2041-210X.13821.

Hodel FH, Fieberg JR (2021). “Cylcop: An R Package for Circular-Linear Copulae with Angular Symmetry.” bioRxiv. doi:10.1101/2021.07.14.452253, https://www.biorxiv.org/content/10.1101/2021.07.14.452253v3/.