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cff-version: 1.2.0
message: 'To cite package "metafrontier" in publications use:'
type: software
license: GPL-3.0-or-later
title: 'metafrontier: Analysis of Metafrontier Models for Efficiency and Productivity'
version: 0.4.0
identifiers:
- type: doi
  value: 10.32614/CRAN.package.metafrontier
abstract: Implements metafrontier production function models for estimating technical
  efficiencies and technology gaps for groups of firms that face different restrictions
  of a common underlying metatechnology (group-specific technologies in the sense
  of Battese, Rao, and O'Donnell, 2004). Supports both stochastic frontier analysis
  (SFA) and data envelopment analysis (DEA) based metafrontiers. Includes the deterministic
  metafrontier of Battese, Rao, and O'Donnell (2004) <https://doi.org/10.1023/B:PROD.0000012454.06094.29>,
  the stochastic metafrontier of Huang, Huang, and Liu (2014) <https://doi.org/10.1007/s11123-014-0402-2>,
  and the metafrontier Malmquist productivity index of O'Donnell, Rao, and Battese
  (2008) <https://doi.org/10.1007/s00181-007-0119-4>. The deterministic metafrontier
  can be identified by either the minimum sum of absolute deviations (LP) or the minimum
  sum of squared deviations (QP) criterion. Group frontiers can be production or cost
  frontiers, corrected for sample selection following Greene (2010) <https://doi.org/10.1007/s11123-009-0159-1>,
  or spatial-autoregressive stochastic frontiers. Transitive Fare-Primont and Lowe
  productivity indexes (O'Donnell, 2012 <https://doi.org/10.1093/ajae/aas023>) are
  decomposed against group technologies and the metatechnology. Additional features
  include panel SFA with time-varying inefficiency, bootstrap confidence intervals
  for technology gap ratios, a DEA poolability permutation test, latent class metafrontier
  estimation via the EM algorithm, Murphy-Topel corrected standard errors, convergence
  diagnostics, import of pre-fitted models from external estimation engines ('sfaR',
  'frontier', 'Benchmarking'), and 'ggplot2' visualisation methods.
authors:
- family-names: Enstad
  given-names: Erik
  email: erik.enstad@nhh.no
  orcid: https://orcid.org/0009-0006-1053-3849
preferred-citation:
  type: manual
  title: 'metafrontier: Analysis of Metafrontier Models for Efficiency and Productivity'
  authors:
  - family-names: Enstad
    given-names: Erik
    orcid: https://orcid.org/0009-0006-1053-3849
    email: erik.enstad@nhh.no
  year: '2026'
  notes: R package version 0.2.1
  url: https://github.com/iik1/metafrontier
repository: https://cran.r-universe.dev
repository-code: https://github.com/iik1/metafrontier
commit: f3304fcac5058c8ed6cff37f75cf70e49710705f
url: https://github.com/iik1/metafrontier
date-released: '2026-10-28'
contact:
- family-names: Enstad
  given-names: Erik
  email: erik.enstad@nhh.no
  orcid: https://orcid.org/0009-0006-1053-3849