Location and scale parameters (can be given
as vectors).
log
Logical; if TRUE, the log density is returned.
lower.tail
Logical; if TRUE (default), probabilities
are P[X <= x],="" otherwise,="" p[x=""> x]=>
Value
dgumbel gives the density function, pgumbel gives
the distribution function, qgumbel gives the quantile
function, and rgumbel generates random deviates.
Interesting Fact
Gumbel is the name of my teddy bear.
And a famous statistician.
Details
The Gumbel distribution function with parameters
$\code{loc} = a$ and $\code{scale} = b$ is
$$G(z) = \exp\left{-\exp\left[-\left(\frac{z-a}{b}\right)
\right]\right}$$
for all real $z$, where $b > 0$.