DelayedWeibull {incubate}

Delayed Weibull Distribution

Description

Density, distribution function, quantile function and random generation for the delayed Weibull distribution with parameters as in the Weibull distribution functions in R's stats-package, namely:

• delay

• shape

• scale (inverse of rate)

Usage

dweib_delayed(x, delay, shape, scale = 1, ...)

pweib_delayed(q, delay, shape, scale = 1, ...)

qweib_delayed(p, delay, shape, scale = 1, ...)

rweib_delayed(n, delay, shape, scale = 1)

Arguments

x

A numeric vector of values for which to get the density.

delay

numeric. The delay, must be non-negative.

shape

numeric. Shape parameter, must be positive.

scale

numeric. Scale parameter (inverse of rate), must be positive.

...

further arguments are passed on to the underlying non-delayed function, e.g., stats::dweibull()

q

A numeric vector of quantile values.

p

A numeric vector of probabilities.

n

integer. Number of random observations requested.

Details

Additional arguments are forwarded via ... to the underlying functions of the exponential distribution in the stats-package.

The numerical arguments other than n are recycled to the length of the result. Only the first elements of the logical arguments are used.

Value

dweib_delayed gives the density, pweib_delayed gives the distribution function, qweib_delayed gives the quantile function, and rweib_delayed generates a pseudo-random sample from the delayed Weibull distribution.

The length of the result is determined by n for rweib_delayed, and is the maximum of the lengths of the numerical arguments for the other functions.