##---- Should be DIRECTLY executable !! ----
##-- ==> Define data, use random,
##-- or do help(data=index) for the standard data sets.
## The function is currently defined as
function (x, y, mar1 = c(0, 1, 0.1), mar2 = c(0, 1, 0.1), dep = 2,
...)
{
mu1 = expression((x^(-alpha) + y^(-alpha))^(1/alpha))
mu = function(x, y) eval({
x <- x
y <- y
mu1
})
param = as.numeric(c(mar1, mar2, dep))
mux = param[1]
muy = param[4]
sigx = param[2]
sigy = param[5]
gamx = param[3]
gamy = param[6]
alpha = param[7]
Hxy = NULL
error = FALSE
if (sigx < 0 | sigy < 0 | alpha < 1)
error = TRUE
if (!error) {
Hxy = NA
tx = (1 + gamx * (x - mux)/sigx)^(1/gamx)
ty = (1 + gamy * (y - muy)/sigy)^(1/gamy)
tx0 = (1 + gamx * (-mux)/sigx)^(1/gamx)
ty0 = (1 + gamy * (-muy)/sigy)^(1/gamy)
c0 = -mu(tx0, ty0)
Hxy = 1/c0 * (mu(tx, ty) - mu(pmin(tx, rep(tx0, length(tx))),
pmin(ty, rep(ty0, length(ty)))))
}
else stop("invalid parameter(s)")
Hxy
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