# cdfgam: Gamma distribution In lmom: L-Moments

 cdfgam R Documentation

## Gamma distribution

### Description

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).

### 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.

### Value

cdfgam gives the distribution function; quagam gives the quantile function.

### Note

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.

### Examples

# Random sample from the gamma distribution
# with shape parameter 4 and mean 1.
quagam(runif(100), c(4,1/4))


lmom documentation built on Aug. 29, 2023, 9:07 a.m.