Skew-Normal Distribution

Usage

dskewnorm(x, location = 0, scale = 1, shape = 0, log = FALSE, ..., mean, sd)

pskewnorm(q, location = 0, scale = 1, shape = 0, ..., mean, sd)

qskewnorm(p, location = 0, scale = 1, shape = 0, ..., mean, sd)

rskewnorm(n = 1, location = 0, scale = 1, shape = 0, ..., mean, sd)

Arguments

x: A numeric vector of values.
location: A numeric vector of the location parameter.
scale: A non-negative numeric vector of the scale parameter.
shape: A numeric vector of shape. Negative values result in leftward skew, while positive values result in rightward skew.
log: A flag specifying whether to return the log-transformed value.
...: Unused.
mean: A numeric vector of the location parameter. Described as "a numeric vector of the means" prior to to v. 0.10.1. Will be removed in a future version.
sd: A non-negative numeric vector of the scale parameter. Described as "a non-negative numeric vector of the standard deviations" prior to v. 0.10.1. Will be removed in a future version.
q: A vector of quantiles.
p: A numeric vector of probabilities.
n: A non-negative whole number of the number of random samples to generate.

Value

dskewnorm gives the density, pskewnorm gives the distribution function, qskewnorm gives the quantile function, and rskewnorm generates random deviates. pskewnorm and qskewnorm use the lower tail probability.

Examples

dskewnorm(x = -2:2, location = 0, scale = 1, shape = 0.1)
#> [1] 0.04543235 0.22269638 0.39894228 0.26124507 0.06254958
dskewnorm(x = -2:2, location = 0, scale = 1, shape = -1)
#> [1] 0.105525330 0.407161596 0.398942280 0.076779853 0.002456603
qskewnorm(p = c(0.1, 0.4), location = 0, scale = 1, shape = 0.1)
#> [1] -1.1980898 -0.1731883
qskewnorm(p = c(0.1, 0.4), location = 0, scale = 1, shape = -1)
#> [1] -1.6322188 -0.7540709
pskewnorm(q = -2:2, location = 0, scale = 1, shape = 0.1)
#> [1] 0.01848493 0.13944469 0.46827448 0.82213418 0.97298466
pskewnorm(q = -2:2, location = 0, scale = 1, shape = -1)
#> [1] 0.0449827 0.2921390 0.7500000 0.9748285 0.9994824
rskewnorm(n = 3, location = 0, scale = 1, shape = 0.1)
#> [1]  0.06119718 -0.91936053  0.55349209
rskewnorm(n = 3, location = 0, scale = 1, shape = -1)
#> [1] -1.494791 -1.172111 -1.274561