wei_homogeneous_series: Series of Weibull components with common shape (closed form...

In dist.structure: Structured Random Variables for Reliability System Distributions

Series of Weibull components with common shape (closed form as a Weibull)

Description

Constructs a dist_structure for a series of Weibull components sharing a common shape parameter. By the standard identity, the system lifetime is itself Weibull with the common shape and an aggregate scale (sum(1 / scale^shape))^(-1 / shape). Methods for surv, cdf, sampler, and mean forward to this aggregate Weibull, giving exact closed-form values.

Usage

wei_homogeneous_series(shape, scales)

## S3 method for class 'wei_homogeneous_series'
surv(x, ...)

## S3 method for class 'wei_homogeneous_series'
sampler(x, ...)

## S3 method for class 'wei_homogeneous_series'
mean(x, ...)

Arguments

shape	Positive scalar: common Weibull shape.
scales	Positive numeric vector: per-component Weibull scales.
x	A wei_homogeneous_series object.
...	Ignored.

Value

wei_homogeneous_series() returns an object of class c("wei_homogeneous_series", "wei_series", "series_dist", "coherent_dist", "dist_structure", "univariate_dist", "continuous_dist", "dist").

The associated S3 methods return:

• surv(): a closure ⁠function(t, ...)⁠.

• cdf() is derived via the dist_structure default and returns a closure ⁠function(t, ...)⁠ equal to 1 - surv(x)(t).

• sampler(): a closure ⁠function(n, ...)⁠ returning n random variates from the system lifetime distribution.

• mean(): a numeric scalar (the mean system lifetime, aggregate_scale * gamma(1 + 1 / shape)).

Examples

sys <- wei_homogeneous_series(shape = 2, scales = c(1, 2, 3))
# System lifetime is Weibull(shape = 2, scale = aggregate_scale)
algebraic.dist::surv(sys)(1)

dist.structure documentation built on May 13, 2026, 1:07 a.m.