kofn: Maximum Likelihood Estimation for k-Out-of-n System Data

Maximum likelihood estimation of component lifetime parameters from system-level observations of k-out-of-n systems. Supports exponential and Weibull component distributions under multiple observation schemes: Scheme 0 (system lifetime only), Scheme 1 (periodic inspection), and Scheme 2 (complete monitoring). Provides an EM algorithm for Weibull parallel systems and Fisher information comparison across schemes. The k-out-of-n framework unifies series (k=1) and parallel (k=m) systems as a censoring problem on component lifetimes. Conforms to the 'likelihood.model' generics and returns fitted objects compatible with 'algebraic.mle'. The data-generating process and topology infrastructure (system survival, density, signature, structure function, importance measures) are delegated to the 'dist.structure' package; 'kofn' focuses exclusively on inference for the k-out-of-n family.

Version:	0.4.0
Depends:	R (≥ 4.1.0)
Imports:	stats, numDeriv, likelihood.model, compositional.mle, generics, dist.structure, algebraic.dist, flexhaz (≥ 0.5.2)
Suggests:	algebraic.mle, maskedcauses, testthat (≥ 3.0.0), knitr, rmarkdown
Published:	2026-06-19
DOI:	10.32614/CRAN.package.kofn (may not be active yet)
Author:	Alexander Towell [aut, cre]
Maintainer:	Alexander Towell <lex at metafunctor.com>
BugReports:	https://github.com/queelius/kofn/issues
License:	MIT + file LICENSE
URL:	https://github.com/queelius/kofn, https://queelius.github.io/kofn/
NeedsCompilation:	no
Materials:	README, NEWS
CRAN checks:	kofn results

Documentation:

Reference manual:

kofn.html , kofn.pdf

Vignettes:

dist.structure integration (source, R code) Inside kofn: Building on the rlang MLE Stack (source, R code) Exponential Parallel Systems: Closed-Form MLE via Inclusion-Exclusion (source, R code) Getting started with kofn (source, R code) Observation Scheme Composability (source, R code) Observation Schemes: Resolving Information Asymmetry via Periodic Inspection (source, R code) Weibull Parallel Systems: EM Algorithm for Shape-Scale Estimation (source, R code)

Downloads:

Package source:	kofn_0.4.0.tar.gz
Windows binaries:	r-devel: not available, r-release: not available, r-oldrel: not available
macOS binaries:	r-release (arm64): kofn_0.4.0.tgz, r-oldrel (arm64): kofn_0.4.0.tgz, r-release (x86_64): kofn_0.4.0.tgz, r-oldrel (x86_64): kofn_0.4.0.tgz

Linking:

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