cyl_quadsec-class {cylcop}

An S4 Class of Bivariate Copulas with Quadratic Sections

Description

This class contains bivariate circular-linear copulas with quadratic sections in the linear dimension. They are periodic in the circular dimension, u, and symmetric with respect to u=0.5. Therefore, they can capture correlation in data where there is symmetry between positive and negative angles. These copulas are described by one parameter, a.

Slots

name

character string holding the name of the copula.

parameters

numeric vector holding the parameter value.

param.names

character vector holding the parameter name.

param.lowbnd

numeric vector holding the lower bound of the parameter.

param.upbnd

numeric vector holding the upper bound of the parameter.

Objects from the Class

Objects are created by cyl_quadsec().

Extends

Class 'cyl_quadsec' extends class 'cyl_copula'.

References

Quesada-Molina JJ, Rodr\'iguez-Lallena JA (1995). “Bivariate copulas with quadratic sections.” Journal of Nonparametric Statistics, 5(4), 323–337. ISSN 10290311, doi:10.1080/10485259508832652.

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/.