Closed-form solution for a bivariate distribution in stochastic frontier models with dependent errors

Emilio Gómez-Déniz and Jorge Pérez-Rodríguez ()

Journal of Productivity Analysis, 2015, vol. 43, issue 2, 215-223

Abstract: This paper proposes a bivariate continuous model based on normal–half normal distributions for testing the independence of idiosyncratic and inefficiency terms in the stochastic frontier model in a maximum likelihood framework. This model allows us to construct a closed-form of the marginal distribution of the composite error term dependent on a parameter which gives a flexible covariance structure (positive and negative correlations are possible), but also nests classical models utilised in stochastic frontier studies. In addition, we obtain the point estimator for technical efficiency using the Battese and Coelli (J Econom 38:387–399, 1988) expression. Copyright Springer Science+Business Media New York 2015

Keywords: Technical and cost efficiencies; Stochastic frontier; Marginal distribution; Dependence; Sarmanov model; C01; C13; C21; C51 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:kap:jproda:v:43:y:2015:i:2:p:215-223

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DOI: 10.1007/s11123-014-0395-x

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