Model averaging estimators for the stochastic frontier model

Christopher F. Parmeter, Alan T.K. Wan, Xinyu Zhang

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Model uncertainty is a prominent feature in many applied settings. This is certainty true in the efficiency analysis realm where concerns over the proper distributional specification of the error components of a stochastic frontier model is, generally, still open along with which variables influence inefficiency. Given the concern over the impact that model uncertainty is likely to have on the stochastic frontier model in practice, the present research proposes two distinct model averaging estimators, one which averages over nested classes of inefficiency distributions and another that has the ability to average over distinct distributions of inefficiency. Both of these estimators are shown to produce optimal weights when the aim is to uncover conditional inefficiency at the firm level. We study the finite-sample performance of the model average estimator via Monte Carlo experiments and compare with traditional model averaging estimators based on weights constructed from model selection criteria and present a short empirical application.

Original languageEnglish (US)
Pages (from-to)91-103
Number of pages13
JournalJournal of Productivity Analysis
Issue number2-3
StatePublished - Jun 1 2019


  • Efficiency
  • J-fold cross-validation
  • Model selection
  • Optimality

ASJC Scopus subject areas

  • Business and International Management
  • Social Sciences (miscellaneous)
  • Economics and Econometrics


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