bilogis4 {VGAM} | R Documentation |
Density, distribution function, quantile function and random generation for the 4-parameter bivariate logistic distribution.
dbilogis4(x1, x2, loc1=0, scale1=1, loc2=0, scale2=1) pbilogis4(q1, q2, loc1=0, scale1=1, loc2=0, scale2=1) rbilogis4(n, loc1=0, scale1=1, loc2=0, scale2=1)
x1, x2, q1, q2 |
vector of quantiles. |
n |
number of observations. Must be a positive integer of length 1. |
loc1, loc2 |
the location parameters l1 and l2. |
scale1, scale2 |
the scale parameters s1 and s2. |
See bilogis4
, the VGAM family function for
estimating the four parameters by maximum likelihood estimation, for
the formula of the cumulative distribution function and other details.
dbilogis4
gives the density,
pbilogis4
gives the distribution function, and
rbilogis4
generates random deviates (a two-column matrix).
T. W. Yee
Gumbel, E. J. (1961) Bivariate logistic distributions. Journal of the American Statistical Association, 56, 335–349.
## Not run: par(mfrow=c(1,3)) n = 2000 ymat = rbilogis4(n, loc1=5, loc2=7, scale2=exp(1)) myxlim = c(-2,15) myylim = c(-10,30) plot(ymat, xlim=myxlim, ylim=myylim) N = 100 x1 = seq(myxlim[1], myxlim[2], len=N) x2 = seq(myylim[1], myylim[2], len=N) ox = expand.grid(x1, x2) z = dbilogis4(ox[,1], ox[,2], loc1=5, loc2=7, scale2=exp(1)) contour(x1, x2, matrix(z, N, N), main="density") z = pbilogis4(ox[,1], ox[,2], loc1=5, loc2=7, scale2=exp(1)) contour(x1, x2, matrix(z, N, N), main="cdf") ## End(Not run)