frechet | R Documentation |
Density function, distribution function, quantile function and random generation for the Frechet distribution with location, scale and shape parameters.
dfrechet(x, loc=0, scale=1, shape=1, log = FALSE)
pfrechet(q, loc=0, scale=1, shape=1, lower.tail = TRUE)
qfrechet(p, loc=0, scale=1, shape=1, lower.tail = TRUE)
rfrechet(n, loc=0, scale=1, shape=1)
x , q |
Vector of quantiles. |
p |
Vector of probabilities. |
n |
Number of observations. |
loc , scale , shape |
Location, scale and shape parameters (can be given as vectors). |
log |
Logical; if |
lower.tail |
Logical; if |
The Frechet distribution function with parameters
\code{loc} = a
, \code{scale} = b
and
\code{shape} = s
is
G(z) = \exp\left\{-\left(\frac{z-a}{b}\right)^{-s}
\right\}
for z > a
and zero otherwise, where b > 0
and
s > 0
.
dfrechet
gives the density function, pfrechet
gives
the distribution function, qfrechet
gives the quantile
function, and rfrechet
generates random deviates.
rgev
, rgumbel
, rrweibull
dfrechet(2:4, 1, 0.5, 0.8)
pfrechet(2:4, 1, 0.5, 0.8)
qfrechet(seq(0.9, 0.6, -0.1), 2, 0.5, 0.8)
rfrechet(6, 1, 0.5, 0.8)
p <- (1:9)/10
pfrechet(qfrechet(p, 1, 2, 0.8), 1, 2, 0.8)
## [1] 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
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