Stochastic Frontier Models with Threshold Efficiency
AbstractThis 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 and also can be used as a measure of market competition. 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,], where is the threshold parameter, this model has two advantages: (i) the reduction of the number of parameters from the more complicated tail-truncated models allows better performance in numerical optimization; and (ii) the threshold parameter itself represents a degree of competition because the variance of technical inefficiency is dependent solely on the parameter. The Monte Carlo simulation results support the argument that this model approximates the distribution of inefficiency precisely.
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Bibliographic InfoPaper provided by Research Institute for Market Economy, Sogang University in its series Working Papers with number 1205.
Length: 23 pages
Date of creation: 2011
Date of revision:
Stochastic frontier; technical efficiency; threshold inefficiency; uniform distribution; productivity distribution;
Other versions of this item:
- Sungwon Lee & Young Lee, 2014. "Stochastic frontier models with threshold efficiency," Journal of Productivity Analysis, Springer, vol. 42(1), pages 45-54, August.
- 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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