iweibull: Weibull distribution functions

In tidychangepoint: A Tidy Framework for Changepoint Detection Analysis

Weibull distribution functions

Description

Weibull distribution functions

Usage

iweibull(x, shape, scale = 1)

mweibull(x, shape, scale = 1)

parameters_weibull(...)

Arguments

x	A numeric vector
shape	Shape parameter for Weibull distribution. See stats::dweibull().
scale	Scale parameter for Weibull distribution. See stats::dweibull().
...	currently ignored

Details

Intensity function for the Weibull distribution.

iweibull(x) = \left( \frac{shape}{scale} \right) \cdot \left( \frac{x}{scale} \right)^{shape - 1}

Mean intensity function for the Weibull distribution.

mweibull(x) = \left( \frac{x}{scale} \right)^{shape}

parameters_weibull() returns a list() with two components: shape and scale, each of which is a list() of distribution parameters. These parameters are used to define the prior distributions for the hyperparameters.

Value

A numeric vector

See Also

stats::dweibull()

stats::dgamma()

Examples

# Compute the intensities and plot them
iweibull(1, shape = 1, scale = 1)
plot(x = 1:10, y = iweibull(1:10, shape = 2, scale = 2))

# Compute various values of the distribution
mweibull(1, shape = 1, scale = 1)
plot(x = 1:10, y = mweibull(1:10, shape = 1, scale = 1))
plot(x = 1:10, y = mweibull(1:10, shape = 1, scale = 2))
plot(x = 1:10, y = mweibull(1:10, shape = 0.5, scale = 2))
plot(x = 1:10, y = mweibull(1:10, shape = 0.5, scale = 100))
plot(x = 1:10, y = mweibull(1:10, shape = 2, scale = 2))
plot(x = 1:10, y = mweibull(1:10, shape = 2, scale = 100))

# Generate prior distribution hyperparameters
parameters_weibull()

tidychangepoint documentation built on April 4, 2025, 4:31 a.m.