| Posnorm {VGAM} | R Documentation |
Density, distribution function, quantile function and random generation for the univariate positive-normal distribution.
dposnorm(x, mean=0, sd=1, log=FALSE) pposnorm(q, mean=0, sd=1) qposnorm(p, mean=0, sd=1) rposnorm(n, mean=0, sd=1)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations. Must be a positive integer of length 1. |
mean, sd, log |
see rnorm. |
See posnormal1, the VGAM family function
for estimating the parameters,
for the formula of the probability density function and other details.
dposnorm gives the density,
pposnorm gives the distribution function,
qposnorm gives the quantile function, and
rposnorm generates random deviates.
T. W. Yee
## Not run:
m = 0.8
x = seq(-1, 4, len=501)
plot(x, dposnorm(x, m=m), type="l", ylim=0:1, las=1,
ylab=paste("posnorm(m=",m,", sd=1)"), col="blue",
main="Blue is density, red is cumulative distribution function",
sub="Purple lines are the 10,20,...,90 percentiles")
lines(x, pposnorm(x, m=m), col="red")
abline(h=0)
probs = seq(0.1, 0.9, by=0.1)
Q = qposnorm(probs, m=m)
lines(Q, dposnorm(Q, m=m), col="purple", lty=3, type="h")
lines(Q, pposnorm(Q, m=m), col="purple", lty=3, type="h")
abline(h=probs, col="purple", lty=3)
max(abs(pposnorm(Q, m=m) - probs)) # Should be 0
## End(Not run)