Distribution function and quantile function
of the gamma distribution.
Usage
cdfgam(x, para = c(1, 1))
quagam(f, para = c(1, 1))
Arguments
x
Vector of quantiles.
f
Vector of probabilities.
para
Numeric vector containing the parameters of the distribution,
in the order \(\alpha, \beta\) (shape, scale).
Value
cdfgam gives the distribution function;
quagam gives the quantile function.
Details
The gamma distribution with
shape parameter \(\alpha\) and
scale parameter \(\beta\) has probability density function
$$f(x)={x^{\alpha-1} \exp(-x/\beta) \over \beta^\alpha \Gamma(\alpha)}$$
for \(x\ge0\), where \(\Gamma(.)\) is the gamma function.