Ali-Mikhail-Haq Bivariate Distribution
Density, distribution function, and random generation for the (one parameter) bivariate Ali-Mikhail-Haq distribution.
dbiamhcop(x1, x2, apar, log = FALSE) pbiamhcop(q1, q2, apar) rbiamhcop(n, apar)
x1, x2, q1, q2 |
vector of quantiles. |
n |
number of observations.
Same as |
apar |
the association parameter. |
log |
Logical.
If |
See biamhcop, the VGAM
family functions for estimating the
parameter by maximum likelihood estimation, for the formula of the
cumulative distribution function and other details.
dbiamhcop gives the density,
pbiamhcop gives the distribution function, and
rbiamhcop generates random deviates (a two-column matrix).
T. W. Yee and C. S. Chee
x <- seq(0, 1, len = (N <- 101)); apar <- 0.7 ox <- expand.grid(x, x) zedd <- dbiamhcop(ox[, 1], ox[, 2], apar = apar) ## Not run: contour(x, x, matrix(zedd, N, N), col = "blue") zedd <- pbiamhcop(ox[, 1], ox[, 2], apar = apar) contour(x, x, matrix(zedd, N, N), col = "blue") plot(r <- rbiamhcop(n = 1000, 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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