RevGumbel: "Reverse" Gumbel Distribution Functions

In DescTools: Tools for Descriptive Statistics

"Reverse" Gumbel Distribution Functions

Description

Density, distribution function, quantile function and random generation for the “Reverse” Gumbel distribution with parameters location and scale.

Usage

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)

Arguments

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., length of resulting vector of rRevGumbel(..).

Value

a numeric vector, of the same length as x, q, or p for the first three functions, and of length n for rRevGumbel().

Author(s)

Werner Stahel; partly inspired by package VGAM. Martin Maechler for numeric cosmetic.

See Also

the Weibull distribution functions in R's stats package.

Examples

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")

DescTools documentation built on Sept. 26, 2024, 1:07 a.m.