evd (version 2.3-7.1)

rweibull: The Reverse Weibull Distribution

Description

Density function, distribution function, quantile function and random generation for the reverse (or negative) Weibull distribution with location, scale and shape parameters.

Usage

drweibull(x, loc=0, scale=1, shape=1, log = FALSE) 
prweibull(q, loc=0, scale=1, shape=1, lower.tail = TRUE) 
qrweibull(p, loc=0, scale=1, shape=1, lower.tail = TRUE)
rrweibull(n, loc=0, scale=1, shape=1)
dnweibull(x, loc=0, scale=1, shape=1, log = FALSE) 
pnweibull(q, loc=0, scale=1, shape=1, lower.tail = TRUE) 
qnweibull(p, loc=0, scale=1, shape=1, lower.tail = TRUE)
rnweibull(n, loc=0, scale=1, shape=1)

Value

drweibull and dnweibull give the density function,

prweibull and pnweibull give the distribution function,

qrweibull and qnweibull give the quantile function,

rrweibull and rnweibull generate random deviates.

Arguments

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]

Details

The reverse (or negative) Weibull distribution function with parameters \(\code{loc} = a\), \(\code{scale} = b\) and \(\code{shape} = s\) is $$G(z) = \exp\left\{-\left[-\left(\frac{z-a}{b}\right) \right]^s\right\}$$ for \(z < a\) and one otherwise, where \(b > 0\) and \(s > 0\).

See Also

rfrechet, rgev, rgumbel

Examples

drweibull(-5:-3, -1, 0.5, 0.8)
prweibull(-5:-3, -1, 0.5, 0.8)
qrweibull(seq(0.9, 0.6, -0.1), 2, 0.5, 0.8)
rrweibull(6, -1, 0.5, 0.8)
p <- (1:9)/10
prweibull(qrweibull(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