Amh {VGAM}R Documentation

Ali-Mikhail-Haq Distribution's Bivariate Distribution

Description

Density, distribution function, and random generation for the (one parameter) bivariate Ali-Mikhail-Haq distribution.

Usage

damh(x1, x2, alpha, log=FALSE)
pamh(q1, q2, alpha)
ramh(n, alpha)

Arguments

x1, x2, q1, q2 vector of quantiles.
n number of observations. Must be a positive integer of length 1.
alpha the association parameter.
log Logical. If TRUE then the logarithm is returned.

Details

See amh, the VGAM family functions for estimating the parameter by maximum likelihood estimation, for the formula of the cumulative distribution function and other details.

Value

damh gives the density, pamh gives the distribution function, and ramh generates random deviates (a two-column matrix).

Author(s)

T. W. Yee and C. S. Chee

See Also

amh.

Examples

x = seq(0, 1, len=(N <- 101))
alpha = 0.7
ox = expand.grid(x, x)
z = damh(ox[,1], ox[,2], alpha=alpha)
## Not run: 
contour(x, x, matrix(z, N, N), col="blue")
z = pamh(ox[,1], ox[,2], alpha=alpha)
contour(x, x, matrix(z, N, N), col="blue")

plot(r <- ramh(n=1000, alpha=alpha), col="blue")
par(mfrow=c(1,2))
hist(r[,1]) # Should be uniform
hist(r[,2]) # Should be uniform
## End(Not run)

[Package VGAM version 0.7-7 Index]