QRM (version 0.4-35)

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)

Value

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

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.

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)