Description Usage Arguments Details Value Note Author(s) References See Also Examples
internal use only
1 | dbgpd_bilog(x, y, mar1 = c(0, 1, 0.1), mar2 = c(0, 1, 0.1), a = 1/2, b = 1/2, ...)
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x |
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y |
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mar1 |
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mar2 |
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a |
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b |
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... |
internal use only
internal use only
internal use only
P. Rakonczai
internal use only
internal use only
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 | ##---- 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), a = 1/2,
b = 1/2, ...)
{
param = as.numeric(c(mar1, mar2, a, b))
mux = param[1]
muy = param[4]
sigx = param[2]
sigy = param[5]
gamx = param[3]
gamy = param[6]
a = param[7]
b = param[8]
hxy = NULL
error = FALSE
if (sigx < 0 | sigy < 0 | a < 0 | b < 0 | a > 1 | b > 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)
dtx = (1/sigx) * pmax((1 + gamx * (x - mux)/sigx), 0)^(1/gamx -
1)
dty = (1/sigy) * pmax((1 + gamy * (y - muy)/sigy), 0)^(1/gamy -
1)
w = tx/(tx + ty)
l = length(w)
gma1 = rep(NA, l)
for (i in 1:l) {
if (!is.na(w[i])) {
eqn = function(z) (1 - a) * (1 - w[i]) * (1 -
z)^b - (1 - b) * w[i] * z^a
if (w[i] == 0)
gma1[i] = 0
else if (w[i] == 1)
gma1[i] = 1
else gma1[i] <- uniroot(eqn, lower = 0, upper = 1,
tol = .Machine$double.eps^0.5)$root
}
}
hdens = function(w, gma = gma1) ((1 - a) * (1 - gma) *
gma^(1 - a))/((1 - w) * w^2 * ((1 - gma) * a + gma *
b))
dxdymu = function(x1, y1) -(x1 + y1)^(-3) * hdens(x1/(x1 +
y1))
c0 = log(pbvevd(c(0, 0), model = "bilog", mar1 = c(mux,
sigx, gamx), mar2 = c(muy, sigy, gamy), alpha = a,
beta = b))
hxy = 1/c0 * dxdymu(tx, ty) * dtx * dty
hxy = as.numeric(hxy * (1 - ((x < 0) * (y < 0))))
}
else stop("invalid parameter(s)")
hxy
}
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