Modelling multi-output stochastic frontiers using copulas

  • Authors:
  • Alessandro Carta;Mark F. J. Steel

  • Affiliations:
  • -;-

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2012

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Abstract

The aim is to introduce a new econometric methodology for multi-output production frontiers. In the context of a system of frontier equations, a flexible multivariate distribution for the inefficiency error term is used. This multivariate distribution is constructed through a copula function which allows for separate modelling of the marginal inefficiency distributions and the dependence. Specific attention to the elicitation of a sensible (improper) prior is paid and simple sufficient conditions for posterior propriety are provided. Inference is conducted through a Markov chain Monte Carlo sampler. Bayes factors are used to compare various copula specifications in the empirical context of Dutch dairy farm data, with two outputs.