"Reverse" Gumbel Distribution Functions
Density, distribution function, quantile function and random
generation for the “Reverse” Gumbel distribution with
parameters location
and scale
.
dRevGumbel (x, location = 0, scale = 1) pRevGumbel (q, location = 0, scale = 1) qRevGumbel (p, location = 0, scale = 1) rRevGumbel (n, location = 0, scale = 1) qRevGumbelExp(p)
x, q |
numeric vector of abscissa (or quantile) values at which to evaluate the density or distribution function. |
p |
numeric vector of probabilities at which to evaluate the quantile function. |
location |
location of the distribution |
scale |
scale (> 0) of the distribution. |
n |
number of random variates, i.e., |
a numeric vector, of the same length as x
, q
, or
p
for the first three functions, and of length n
for
rRevGumbel()
.
Werner Stahel; partly inspired by package VGAM. Martin Maechler for numeric cosmetic.
the Weibull
distribution functions in R's stats package.
curve(pRevGumbel(x, scale= 1/2), -3,2, n=1001, col=1, lwd=2, main = "RevGumbel(x, scale = 1/2)") abline(h=0:1, v = 0, lty=3, col = "gray30") curve(dRevGumbel(x, scale= 1/2), n=1001, add=TRUE, col = (col.d <- adjustcolor(2, 0.5)), lwd=3) legend("left", c("cdf","pdf"), col=c("black", col.d), lwd=2:3, bty="n") med <- qRevGumbel(0.5, scale=1/2) cat("The median is:", format(med),"\n")
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