The skew-lognormal distribution of a value x whose natural logarithm
follows a Skew-Normal distribution with location meanlog,
scale sdlog and shape.
It reduces to the Log-Normal distribution when shape = 0.
Usage
dskewlnorm(x, meanlog = 0, sdlog = 1, shape = 0, log = FALSE)
pskewlnorm(q, meanlog = 0, sdlog = 1, shape = 0)
qskewlnorm(p, meanlog = 0, sdlog = 1, shape = 0)
rskewlnorm(n = 1, meanlog = 0, sdlog = 1, shape = 0)Arguments
- x
A numeric vector of values.
- meanlog
A numeric vector of the means on the log scale.
- sdlog
A non-negative numeric vector of the standard deviations on the log scale.
- shape
A numeric vector of values.
- log
A flag specifying whether to return the log-transformed value.
- 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
dskewlnorm gives the density, pskewlnorm gives the distribution function, qskewlnorm gives the quantile function, and rskewlnorm generates random deviates.
pskewlnorm and qskewlnorm use the lower tail probability.
Examples
dskewlnorm(x = 1:5, meanlog = 0, sdlog = 1, shape = 0.1)
#> [1] 0.39894228 0.16554302 0.07909057 0.04236014 0.02464460
dskewlnorm(x = 1:5, meanlog = 0, sdlog = 1, shape = -1)
#> [1] 0.398942280 0.076588593 0.019777519 0.006320389 0.002349402
qskewlnorm(p = c(0.1, 0.4), meanlog = 0, sdlog = 1, shape = 0.1)
#> [1] 0.3017701 0.8409793
qskewlnorm(p = c(0.1, 0.4), meanlog = 0, sdlog = 1, shape = -1)
#> [1] 0.1954953 0.4704475
pskewlnorm(q = 1:5, meanlog = 0, sdlog = 1, shape = 0.1)
#> [1] 0.4682745 0.7309608 0.8467152 0.9050737 0.9375887
pskewlnorm(q = 1:5, meanlog = 0, sdlog = 1, shape = -1)
#> [1] 0.7500000 0.9404110 0.9815125 0.9931394 0.9971098
rskewlnorm(n = 3, meanlog = 0, sdlog = 1, shape = 0.1)
#> [1] 1.308422 1.327854 1.441730
rskewlnorm(n = 3, meanlog = 0, sdlog = 1, shape = -1)
#> [1] 1.1844416 0.3525472 2.8623614