Mean parameterization of the gamma pdf.
Usage
dgamma_mean(x, mu, a, log = FALSE)
Arguments
- x
Value space, x > 0.
- mu
Mean parameter of the density, mu > 0.
- a
Shape parameter, a > 0.
- log
optional argument. If true, returns logarithmic probability. Default = FALSE
Details
Define rate constant rho as:
$$\rho(\alpha, \mu) = \frac{\alpha}{\mu}$$
The Frechet distribution density is defined as
$$f(y) = \frac{y^{\alpha - 1} exp(-\frac{y}{\rho})} {\rho^\alpha \Gamma(\alpha)} $$
Examples
x <- seq(from = 0.01, to = 10, length.out = 1000)
plot(x, dgamma_mean(x, mu = 2, a = 2), type = "l")
