DEA with efficiency classification preserving conditional convexity

Kuosmanen, Timo

doi:10.1016/s0377-2217(00)00155-7

Cited by 54 publications

(6 citation statements)

References 38 publications

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“…When inputs have zero shadow prices, the calculation of the quantile shadow-price Fisher index will be challenged. To model nonconvexity in the estimation of quantile func-tions, one possibility is to consider conditional convexity, which leads to a piece-wise linear function (see, e.g., Kuosmanen, 2001). We leave it for future work to develop alternative CQR preserving conditional convexity.…”

Section: Proof See Appendix a ■mentioning

confidence: 99%

Can Omitted Carbon Abatement Explain Productivity Stagnation? Quantile Shadow-Price Fisher Index Applied to OECD Countries

2023

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Section: Proof See Appendix a ■mentioning

confidence: 99%

Can Omitted Carbon Abatement Explain Productivity Stagnation? Quantile Shadow-Price Fisher Index Applied to OECD Countries

2023

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“…The statement (7) of technology T WID 1 is nonlinear. Using substitution (5) and implementing the linearization technique employed by Kuosmanen (2001), it is straightforward to show that T WID 1 can be restated in the following equivalent form:…”

Section: The Wid Technology With Convex Input Setsmentioning

confidence: 99%

“…There are many other approaches to modelling nonconvex production technologies developed in the literature, including those ofBogetoft et al (2000),Kuosmanen (2001),Briec et al (2004),Agrell et al (2005),Podinovski (2005) andMehdiloozad et al (2014), to name a few. In our paper, we limit our investigation only to the three cases identified above.4 Using a more general approach based on directional distance functions(Chambers et al, 1998) also results in a linear program.…”

mentioning

confidence: 99%

Nonparametric production technologies with weakly disposable inputs

Mehdiloozad

Podinovski

2018

European Journal of Operational Research

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In models of production theory and efficiency analysis, the inputs and outputs are assumed to satisfy some form of disposability. In this paper, we consider the assumption of weak input disposability. It states that any activity remains feasible if its inputs are simultaneously scaled up in the same proportion. As suggested in the literature, the Shephard technology incorporating weak input disposability could be used to evaluate the effect of input congestion. We show that the Shephard technology is not convex and therefore introduces bias in evaluation of congestion. To address this, we develop an alternative convex technology whose use in the evaluation of congestion removes the noted bias. We undertake a further axiomatic investigation and obtain a range of production technologies, all of which exhibit weak input disposability but are based on different, progressively relaxed, convexity assumptions. Apart from the evaluation of input congestion, such technologies should also be useful in applications in which some inputs are closely related or are overlapping, and therefore satisfy only the weak input disposability assumption incorporated in the new models.

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“…Next, Bogetoft (1996), Chang (1999), Dekker and Post (2001) and Post (2001b, 2001c) have considered convexity of either input sets or output sets. Finally, Post (2001c), and Kuosmanen (2001) replaced convexity by the modified properties of ‘ transconvexity ’ and ‘ conditional convexity ’ respectively.…”

Section: Graph Convexity (Gc)mentioning

confidence: 99%

Methodological Advances in DEA: A survey and an application for the Dutch electricity sector

Cherchye

Post

2003

Statistica Neerlandica

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We survey the methodological advances in DEA over the last 25 years and discuss the necessary conditions for a sound empirical application. We hope this survey will contribute to the further dissemination of DEA, the knowledge of its relative strengths and weaknesses, and the tools currently available for exploiting its full potential. Our main points are illustrated by the case of the DEA study used by the regulatory office of the Dutch electricity sector (Dienst Toezicht Elektriciteitswet; Dte) for setting price caps.

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DEA with efficiency classification preserving conditional convexity

Cited by 54 publications

References 38 publications

Can Omitted Carbon Abatement Explain Productivity Stagnation? Quantile Shadow-Price Fisher Index Applied to OECD Countries

Can Omitted Carbon Abatement Explain Productivity Stagnation? Quantile Shadow-Price Fisher Index Applied to OECD Countries

Nonparametric production technologies with weakly disposable inputs

Methodological Advances in DEA: A survey and an application for the Dutch electricity sector

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