gumbel {evd} | R Documentation |
The Gumbel Distribution
Description
Density function, distribution function, quantile function and random generation for the Gumbel distribution with location and scale parameters.
Usage
dgumbel(x, loc=0, scale=1, log = FALSE)
pgumbel(q, loc=0, scale=1, lower.tail = TRUE)
qgumbel(p, loc=0, scale=1, lower.tail = TRUE)
rgumbel(n, loc=0, scale=1)
Arguments
x , q |
Vector of quantiles. |
p |
Vector of probabilities. |
n |
Number of observations. |
loc , scale |
Location and scale parameters (can be given as vectors). |
log |
Logical; if |
lower.tail |
Logical; if |
Details
The Gumbel distribution function with parameters
and
is
for all real , where
.
Value
dgumbel
gives the density function, pgumbel
gives
the distribution function, qgumbel
gives the quantile
function, and rgumbel
generates random deviates.
See Also
Examples
dgumbel(-1:2, -1, 0.5)
pgumbel(-1:2, -1, 0.5)
qgumbel(seq(0.9, 0.6, -0.1), 2, 0.5)
rgumbel(6, -1, 0.5)
p <- (1:9)/10
pgumbel(qgumbel(p, -1, 2), -1, 2)
## [1] 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
[Package evd version 2.3-7 Index]