frechet {evd} | 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 TRUE , the log density is returned. |
lower.tail |
Logical; if TRUE (default), probabilities
are P[X <= x], otherwise, P[X > x] |
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.
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