contourmcd: Contour Plot of the Bivariate Cauchy Density

View source: R/contourmcd.R

contourmcdR Documentation

Contour Plot of the Bivariate Cauchy Density


Draws the contour plot of the probability density of the multivariate Cauchy distribution with 2 variables with location parameter mu and scatter matrix Sigma.


contourmcd(mu, Sigma,
                   xlim = c(mu[1] + c(-10, 10)*Sigma[1, 1]),
                   ylim = c(mu[2] + c(-10, 10)*Sigma[2, 2]),
                   zlim = NULL, npt = 30, nx = npt, ny = npt,
                   main = "Multivariate Cauchy density",
                   sub = NULL, nlevels = 10,
                   levels = pretty(zlim, nlevels), tol = 1e-6, ...)



length 2 numeric vector.


symmetric, positive-definite square matrix of order 2. The scatter matrix.

xlim, ylim

x-and y- limits.


z- limits. If NULL, it is the range of the values of the density on the x and y values within xlim and ylim.


number of points for the discretisation.

nx, ny

number of points for the discretisation among the x- and y- axes.

main, sub

main and sub title, as for title.

nlevels, levels

arguments to be passed to the contour function.


tolerance (relative to largest variance) for numerical lack of positive-definiteness in Sigma, for the estimation of the density. see dmcd.


additional arguments to plot.window, title, Axis and box, typically graphical parameters such as cex.axis.


Returns invisibly the probability density function.


Pierre Santagostini, Nizar Bouhlel


N. Bouhlel, D. Rousseau, A Generic Formula and Some Special Cases for the KullbackÔÇôLeibler Divergence between Central Multivariate Cauchy Distributions. Entropy, 24, 838, July 2022. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.3390/e24060838")}

See Also

dmcd: probability density of a multivariate Cauchy density

plotmcd: 3D plot of a bivariate Cauchy density.


mu <- c(1, 4)
Sigma <- matrix(c(0.8, 0.2, 0.2, 0.2), nrow = 2)
contourmcd(mu, Sigma)

mcauchyd documentation built on May 29, 2024, 2:21 a.m.