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, lower.tail = TRUE, log.p = FALSE) qposnorm(p, mean = 0, sd = 1, lower.tail = TRUE, log.p = FALSE) rposnorm(n, mean = 0, sd = 1)
x, q |
vector of quantiles. |
p |
vector of probabilities. |
n |
number of observations.
If |
mean, sd, log, lower.tail, log.p |
see |
See posnormal
, 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", las = 1, ylim = 0:1, ylab = paste("posnorm(m = ", m, ", sd = 1)"), col = "blue", main = "Blue is density, orange is the CDF", sub = "Purple lines are the 10,20,...,90 percentiles") abline(h = 0, col = "grey") lines(x, pposnorm(x, m = m), col = "orange", type = "l") 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)