A kernel density estimate of the copula density is visualized. The function provides the same options as plot.BiCop(). Further arguments can be passed to kdecopula::kdecop() to modify the estimate. The kdecopula::kdecopula-package() must be installed to use this function.

BiCopKDE(u1, u2, type = "contour", margins, size, kde.pars = list(), ...)

Arguments

u1, u2

numeric vectors of equal length with values in \([0,1]\).

type

plot type; either "contour" or "surface" (partial matching is activated) for a contour or perspective/surface plot respectively.

margins

only relevant for types "contour" and "surface"; options are: "unif" for the original copula density, "norm" for the transformed density with standard normal margins, "exp" with standard exponential margins, and "flexp" with flipped exponential margins. Default is "norm" for type = "contour", and "unif" for type = "surface". "norm" for the transformed density with standard normal margins (partial matching is activated). Default is "norm" for type = "contour", and "unif" for type = "surface".

size

integer; the plot is based on values on a size x size grid; default is 100 for type = "contour", and 25 for type = "surface".

kde.pars

list of arguments passed to kdecopula::kdecop().

...

optional arguments passed to contour() or wireframe().

Details

For further details on estimation see kdecopula::kdecop().

Author

Thomas Nagler

Examples

# simulate data from Joe copula
cop <- BiCop(3, tau = 0.3)
u <- BiCopSim(1000, cop)
contour(cop)  # true contours


# kernel contours with standard normal margins
BiCopKDE(u[, 1], u[, 2])
#> Error in BiCopKDE(u[, 1], u[, 2]): The 'kdecopula' package must be installed.
BiCopKDE(u[, 1], u[, 2], kde.pars = list(mult = 0.5))  # undersmooth
#> Error in BiCopKDE(u[, 1], u[, 2], kde.pars = list(mult = 0.5)): The 'kdecopula' package must be installed.
BiCopKDE(u[, 1], u[, 2], kde.pars = list(mult = 2))  # oversmooth
#> Error in BiCopKDE(u[, 1], u[, 2], kde.pars = list(mult = 2)): The 'kdecopula' package must be installed.

# kernel density with uniform margins
BiCopKDE(u[, 1], u[, 2], type = "surface", zlim = c(0, 4))
#> Error in BiCopKDE(u[, 1], u[, 2], type = "surface", zlim = c(0, 4)): The 'kdecopula' package must be installed.
plot(cop, zlim = c(0, 4))  # true density


# kernel contours are also used in pairs.copuladata
data(daxreturns)
data <- as.copuladata(daxreturns)
pairs(data[c(4, 5, 14, 15)])
#> Error in (function (u1, u2, type = "contour", margins, size, kde.pars = list(),     ...) {    if (!requireNamespace("kdecopula", quietly = TRUE))         stop("The 'kdecopula' package must be installed.")    args <- preproc(c(as.list(environment()), call = match.call()),         check_u, remove_nas, check_if_01, na.txt = " Only complete observations are used.")    list2env(args, environment())    args <- list(udata = cbind(u1, u2))    if (all(colnames(args$udata) == c("u1", "u2")))         args$udata <- unname(args$udata)    args <- modifyList(args, kde.pars)    est <- do.call(kdecopula::kdecop, args)    if (missing(margins)) {        margins <- switch(type, contour = "norm", surface = "unif")    }    return(plot(est, type = type, margins = margins, size = size,         ...))})(u1 = c(0.828793223605221, 0.563928601045794, 0.596105082080661, 0.422989677071629, 0.426280538373799, 0.250871521532833, 0.307508168954636, 0.209134117395052, 0.772187568232017, 0.370202231451089, 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0.324653595075961, 0.882388624596069, 0.65924222263139, 0.150665886735353, 0.256631582895155, 0.952124489830967, 0.728038899055463, 0.751742193755442, 0.908130535216006, 0.620226189923086, 0.0888523315425116, 0.417445897535002, 0.891506427294475), size = 100, levels = c(0, 0.025, 0.05, 0.075, 0.1, 0.125, 0.15, 0.175, 0.2, 0.225, 0.25), margins = "norm",     axes = FALSE, drawlabels = FALSE, col = c("#00A600", "#2DB600",     "#63C600", "#A0D600", "#E6E600", "#E8C727", "#EAB64E", "#ECB176",     "#EEB99F", "#F0CFC8", "#F2F2F2")): The 'kdecopula' package must be installed.