The Frechet Distribution
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 loc = a, scale = b and shape = s is
G(x) = exp{-[(z-a)/b]^(-s)}
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.
Alec Stephenson <alec_stephenson@hotmail.com>
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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