lestat (version 1.9)

expgamma: Create an ExpGamma distribution

Description

Create an ExpGamma Distribution: If a variable has a Gamma distribution with parameters alpha and beta, then its logarithm has an ExpGamma distribution with parameters alpha, beta, and gamma = 1.

Usage

expgamma(alpha = 1, beta = 1, gamma = -2)

Arguments

alpha

The "shape" parameter of the corresponding Gamma distribution.

beta

The "rate" parameter of the corresponding Gamma distribution.

gamma

The scale parameter for the logarithmhic scale. By default, gamma = -2.

Value

An ExpGamma distribution.

Details

The ExpGamma has probability density function $$f(x | \alpha,\beta,\gamma)=\exp(\alpha\gamma x - \beta \exp(\gamma x))$$

See Also

gammadistribution

Examples

# NOT RUN {
dist <- expgamma(4, 6)
plot(dist)
# }