kofn_dist: k-out-of-n system distribution

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

k-out-of-n system distribution

Description

A k-out-of-n system functions if at least k of its m components function. Equivalent to the (m - k + 1)-th order statistic of component lifetimes.

Usage

kofn_dist(k, components)

Arguments

k	Minimum functioning components for system operation (:G).
components	List of dist objects (length m).

Details

This constructor uses the :G convention: k is the number of components that must remain functioning for the system to function. k = 1 is parallel; k = m is series. The companion kofn package (which depends on dist.structure) uses the :F convention, where k is the number of failures that trigger system failure; conversion is k_dist = m - k_kofn + 1. When in doubt, draw a small example: kofn_dist(k = 2, ...) for m = 3 functions until two of the three components have failed.

Value

A kofn_dist inheriting from coherent_dist.

See Also

order_statistic() for the closely-related order-statistic parameterization.

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