| rig {mgcv} | R Documentation |
Generate inverse Gaussian random deviates
Description
Generates inverse Gaussian random deviates.
Usage
rig(n,mean,scale)
Arguments
n |
the number of deviates required. If this has length > 1 then the length is taken as the number of deviates required. |
mean |
vector of mean values. |
scale |
vector of scale parameter values (lambda, see below) |
Details
If x if the returned vector, then E(x) = mean while var(x) = scale*mean^3. For density and distribution functions
see the statmod package. The algorithm used is Algorithm 5.7 of Gentle (2003), based on Michael et al. (1976). Note that scale
here is the scale parameter in the GLM sense, which is the reciprocal of the usual ‘lambda’ parameter.
Value
A vector of inverse Gaussian random deviates.
Author(s)
Simon N. Wood simon.wood@r-project.org
References
Gentle, J.E. (2003) Random Number Generation and Monte Carlo Methods (2nd ed.) Springer.
Michael, J.R., W.R. Schucany & R.W. Hass (1976) Generating random variates using transformations with multiple roots. The American Statistician 30, 88-90.
https://www.maths.ed.ac.uk/~swood34/
Examples
require(mgcv)
set.seed(7)
## An inverse.gaussian GAM example, by modify `gamSim' output...
dat <- gamSim(1,n=400,dist="normal",scale=1)
dat$f <- dat$f/4 ## true linear predictor
Ey <- exp(dat$f);scale <- .5 ## mean and GLM scale parameter
## simulate inverse Gaussian response...
dat$y <- rig(Ey,mean=Ey,scale=.2)
big <- gam(y~ s(x0)+ s(x1)+s(x2)+s(x3),family=inverse.gaussian(link=log),
data=dat,method="REML")
plot(big,pages=1)
gam.check(big)
summary(big)