Skew-Normal Distribution
Density and random generation for the univariate skew-normal distribution.
dskewnorm(x, location = 0, scale = 1, shape = 0, log = FALSE) rskewnorm(n, location = 0, scale = 1, shape = 0)
x |
vector of quantiles. |
n |
number of observations.
Same as |
location |
The location parameter xi. A vector. |
scale |
The scale parameter w. A positive vector. |
shape |
The shape parameter. It is called alpha in
|
log |
Logical.
If |
See skewnormal, which currently only estimates the shape
parameter.
More generally here, Z = xi + w * Y where
Y has a standard skew-normal distribution
(see skewnormal),
xi is the location parameter and
w is the scale parameter.
dskewnorm gives the density,
rskewnorm generates random deviates.
The default values of all three parameters corresponds to the skew-normal being the standard normal distribution.
T. W. Yee
http://tango.stat.unipd.it/SN.
## Not run: N <- 200 # Grid resolution
shape <- 7; x <- seq(-4, 4, len = N)
plot(x, dskewnorm(x, shape = shape), type = "l", col = "blue", las = 1,
ylab = "", lty = 1, lwd = 2)
abline(v = 0, h = 0, col = "grey")
lines(x, dnorm(x), col = "orange", lty = 2, lwd = 2)
legend("topleft", leg = c(paste("Blue = dskewnorm(x, ", shape,")", sep = ""),
"Orange = standard normal density"), lty = 1:2, lwd = 2,
col = c("blue", "orange"))
## End(Not run)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.