Kumaraswamy density function in median parametrisation.
Usage
dkumaraswamy(x, mu, p, log = FALSE)
Arguments
- x
vector of quantiles, x e (0, 1)
- mu
Median, mu e (0, 1)
- p
shape, p > 0
- log
logical; if TRUE, log(pdf) is returned
Details
$$q(\mu, p) = -\frac{log(2)}{log(1-\mu^p)}$$
$$f(y | \mu, p) = pqx^{p-1}(1-x^p)^{q-1}$$
Examples
x <- seq(from = 0.01, to = 0.99, length.out = 1000)
plot(x, dkumaraswamy(x, mu = 0.5, p = 2), type = "l")
