Gumbel | R Documentation |
Density function, distribution function, quantile function and random generation for the Gumbel distribution with location and scale parameters.
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)
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 |
The Gumbel distribution function with parameters
loc = a
and scale = b
is
G(z) = \exp\left\{-\exp\left[-\left(\frac{z-a}{b}\right)
\right]\right\}
for all real z
, where b > 0
.
dGumbel
gives the density function, pGumbel
gives
the distribution function, qGumbel
gives the quantile
function, and rGumbel
generates random deviates.
Alec Stephenson <alec_stephenson@hotmail.com>
rFrechet
, rGenExtrVal
, rRevWeibull
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
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