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Stochastic frontier models with threshold efficiency

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  • Sungwon Lee
  • Young Lee

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Abstract

This paper proposes a tail-truncated stochastic frontier model that allows for the truncation of technical efficiency from below. The truncation bound implies the inefficiency threshold for survival. Specifically, this paper assumes a uniform distribution of technical inefficiency and derives the likelihood function. Even though this distributional assumption imposes a strong restriction that technical inefficiency has a uniform probability density over [0, θ], where θ is the threshold parameter, this model has two advantages: (1) the reduction in the number of parameters compared with more complicated tail-truncated models allows better performance in numerical optimization; and (2) it is useful for empirical studies of the distribution of efficiency or productivity, particularly the truncation of the distribution. The Monte Carlo simulation results support the argument that this model approximates the distribution of inefficiency precisely, as the data-generating process not only follows the uniform distribution but also the truncated half-normal distribution if the inefficiency threshold is small. Copyright Springer Science+Business Media New York 2014

Suggested Citation

  • Sungwon Lee & Young Lee, 2014. "Stochastic frontier models with threshold efficiency," Journal of Productivity Analysis, Springer, vol. 42(1), pages 45-54, August.
  • Handle: RePEc:kap:jproda:v:42:y:2014:i:1:p:45-54
    DOI: 10.1007/s11123-013-0364-9
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    References listed on IDEAS

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    1. Timothy Dunne & Shawn Klimek & James Schmitz, Jr., 2010. "Competition and Productivity: Evidence from the Post WWII U.S. Cement Industry," Working Papers 10-29, Center for Economic Studies, U.S. Census Bureau.
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    11. Schmidt, Peter & Sickles, Robin C, 1984. "Production Frontiers and Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 367-374, October.
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    More about this item

    Keywords

    Stochastic frontier; Technical efficiency; Threshold inefficiency; Uniform distribution; Productivity distribution; C13; C21; D24; L11;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L25 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Performance

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