QRM (version 0.4-7)

Gumbel: Gumbel Distribution

Description

Density, quantiles, and cumulative probability of the Gumbel distribution. The standard Gumbel has $\mu$ value of 0 and $\sigma$ value of one.

Usage

dGumbel(x, mu = 0, sigma = 1, log = FALSE) 
qGumbel(p, mu = 0, sigma = 1) 
pGumbel(q, mu = 0, sigma = 1)
rGumbel(n, mu = 0, sigma = 1)

Arguments

log

logical, whether log values of density should be returned.

mu

numeric, location parameter.

n

integer, count of random variates.

p

vector, probabilities.

q

vector, quantiles.

sigma

numeric, scale parameter.

x

vector, values to evaluate density.

Value

• numeric, probability (pGumbel()), quantile (qGumbel()), density (dGumbel()) or random variates (rGumbel()) for the Gumbel distribution with location parameter $\mu$ and scale parameter $\sigma$.

Examples

rGumbelSim <- rGumbel(1000, 1.0, 2.5)
quantValue <- 4.5
pGEV(q = quantValue, xi = 0, mu = 1.0, sigma = 2.5) 
pGumbel(q = quantValue, mu = 1.0, sigma = 2.5)