R: "Reverse" Gumbel Distribution Functions

pRevGumbel {DescTools} | R Documentation

## "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")

[Package DescTools version 0.99.32 Index]