Gamma distribution
Distribution function and quantile function of the gamma distribution.
cdfgam(x, para = c(1, 1)) quagam(f, para = c(1, 1))
x |
Vector of quantiles. |
f |
Vector of probabilities. |
para |
Numeric vector containing the parameters of the distribution, in the order alpha, beta (shape, scale). |
The gamma distribution with shape parameter alpha and scale parameter beta has probability density function
f(x) = x^alpha exp(-x/beta) / ( beta^alpha Gamma(alpha) )
for x >= 0, where Gamma(.) is the gamma function.
cdfgam gives the distribution function;
quagam gives the quantile function.
The functions expect the distribution parameters in a vector,
rather than as separate arguments as in the standard R functions
pgamma and qgamma.
gamma for the gamma function.
pgamma for the standard R version of the gamma distribution.
cdfpe3 for the Pearson type III distribution,
which generalizes the gamma distribution.
# Random sample from the gamma distribution # with shape parameter 4 and mean 1. quagam(runif(100), c(4,1/4))
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