Farlie-Gumbel-Morgenstern's Bivariate Distribution
Density, distribution function, and random generation for the (one parameter) bivariate Farlie-Gumbel-Morgenstern's distribution.
dbifgmcop(x1, x2, apar, log = FALSE) pbifgmcop(q1, q2, apar) rbifgmcop(n, apar)
x1, x2, q1, q2 |
vector of quantiles. |
n |
number of observations.
Same as in |
apar |
the association parameter. |
log |
Logical.
If |
See bifgmcop, the VGAM
family functions for estimating the
parameter by maximum likelihood estimation, for the formula of the
cumulative distribution function and other details.
dbifgmcop gives the density,
pbifgmcop gives the distribution function, and
rbifgmcop generates random deviates (a two-column matrix).
T. W. Yee
## Not run: N <- 101; x <- seq(0.0, 1.0, len = N); apar <- 0.7 ox <- expand.grid(x, x) zedd <- dbifgmcop(ox[, 1], ox[, 2], apar = apar) contour(x, x, matrix(zedd, N, N), col = "blue") zedd <- pbifgmcop(ox[, 1], ox[, 2], apar = apar) contour(x, x, matrix(zedd, N, N), col = "blue") plot(r <- rbifgmcop(n = 3000, apar = apar), col = "blue") par(mfrow = c(1, 2)) hist(r[, 1]) # Should be uniform hist(r[, 2]) # Should be uniform ## End(Not run)
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