2002
DOI: 10.1006/jema.2001.0480
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Estimation of the shadow prices of pollutants with production/environment inefficiency taken into account: a nonparametric directional distance function approach

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Cited by 224 publications
(109 citation statements)
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“…Following Ball et al (1994) and according to the duality between the directional distance function and the revenue function (Färe et al, 2004a), the following equivalence may be expressed, by which the shadow price of the undesirable outputs is computed [2] where and are the dual variables associated with each restriction in the following linear program (3) (Ball et al, 1994;Lee et al, 2002;Shaik et al, 2002;Oude-Lansink and Silva, 2004). These dual variables give a measure of the effect on the distance (or the efficiency) of a change on these constraints 1 .…”
Section: Methodology Data Envelopment Analysis (Dea) Model For the Comentioning
confidence: 99%
“…Following Ball et al (1994) and according to the duality between the directional distance function and the revenue function (Färe et al, 2004a), the following equivalence may be expressed, by which the shadow price of the undesirable outputs is computed [2] where and are the dual variables associated with each restriction in the following linear program (3) (Ball et al, 1994;Lee et al, 2002;Shaik et al, 2002;Oude-Lansink and Silva, 2004). These dual variables give a measure of the effect on the distance (or the efficiency) of a change on these constraints 1 .…”
Section: Methodology Data Envelopment Analysis (Dea) Model For the Comentioning
confidence: 99%
“…DEA estimation is based on linear programming, and it aims to construct a piecewise linear combination of all observed inputs and outputs. Examples include Boyd et al (2002), Kaneko et al (2010), Lee et al (2002), Maradan and Vassiliev (2005) and Choi et al (2012) etc. The major advantage of the DEA approach is that it does not need to impose a specific functional form on the underlying technology (Zhang and Choi, 2014) 4 .…”
Section: Supply-side/production-based Maccmentioning
confidence: 99%
“…According to Shephard's output distance function, Boyd et al [14] used the gradient vector of the output distance function to estimate the shadow price of pollutants. Based on the directional distance function [15], Lee et al [16] added non-efficiency factors into the linear programming model to evaluate the shadow price of pollutants.…”
Section: Open Accessmentioning
confidence: 99%