# In other words, the metafrontier model is The use of the DEA methodology to construct the metafrontier considered as an envelope of all the possible group technologies. model is possible as long as we can identify separate frontiers for For example, if a particular output, y, can be produced using input different groups in the data set (O’Donnell et al., 2007).

metafrontier framework because of its ability to estimate the technology-gap ratios, in addition to estimated parameters of frontiers and technical inefficiencies. The stochastic metafrontier framework proposed by Battese and Rao (2002) and Battese et al. (2004) is followed in this analysis.

In: Ferlie E, Lynn 21 nov. 2019 — conditional metafrontier approach for the Hessian wastewater sector, Local Government. Studies, 44(1); 151-171. Bovens M. (2005) Public Yoshiaki SHIBATA - metaFrontier.jp; Masahito Kawamori - Nippon Telegraph and Phone; Byunghee Jung - Koreansk sändningssystem; Li Qingguo - SARFT Dumont, M. m.fl. (2014).

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The rest of this study is organized as follows. In Section we introduce the 2, "Assessing the performance of German Bundesliga football players: a non-parametric metafrontier approach," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. In this paper a semiparametric stochastic metafrontier approach is used to obtain insight into the performance of manufacturing firms in Europe. We differ from standard TFP studies at the firm level as we simul- taneously allow for inefficiency, noise and do not impose a functional form on the input–output relation. However, metafrontier estimation requires parameters obtained from initial stochastic frontier analysis. The metafrontier of the pooled sorghum plots’ managers is given by: l n Q z ∗ i = β z ∗ 0 + 6 ∑ j = 1 β z ∗ j l n X z ∗ i j + ε z i j , j = 1,2,3 , … , j l n Q i z ∗ = β 0 z ∗ + ∑ j = 1 6 β j z ∗ l n X i j z ∗ + ε i j z , j = 1,2,3 , … , j Metafrontier Productivity Indices: Questioning the Common Convexiﬁcation Strategy Qianying Jin∗ Kristiaan Kerstens† Ignace Van de Woestyne‡ 15th May 2019 Abstract While the construction of metafrontiers based on the union of underlying group fron- A metafrontier production function for estimation of technical efficiencies and technology gaps for firms operating under different technologies.

A metafrontier approach for measuring an environmentally sensitive productivity growth index Oh, Dong-hyun KTH, School of Architecture and the Built Environment (ABE), Centres, Centre of Excellence for Science and Innovation Studies, CESIS. The group innovative provinces have set a target for resource utilization of non-innovative provinces in order to catch-up with the corresponding groups, while the metafrontier innovative provinces provide targets for the technology levels of other provinces to improve their green development performance.

## The metafrontier model enables the calculation of comparable technical efficiencies for firms operating under different technologies. The model also enables the

This section presents a brief overview on the examples of the metafrontier in efficiency and productivity analysis. These metafrontier function is a production function of speciﬁed functional form that does not fall below the deterministic functions for the stochastic frontier models of the groups involved.

### 2013-11-01 · A more in-depth analysis of innovative plants requires a more deliberate examination. There are two types of innovative plants: group and metafrontier innovative power plants. Group innovators refer to outstanding plants within a specific group, and metafrontier innovators can be found in innovative plants from an integrated perspective.

The attractive feature of metafrontier … 2011-05-06 The metafrontier is assumed to be a smooth function and not a segmented envelope of the .

Dumont, M. / Merlevede, B. / Rayp, G. / Verschelde, M. Working Papers European competitiveness: A semi-parametric stochastic metafrontier analysis at the firm
highland Ethiopia : a stochastic metafrontier approach / environment, poverty and education / Miguel Quiroga. - Haileselassie A. Medhin, Gunnar Köhlin. metafrontier, denoted by TE*t , is defined in an analogous way to equation (6). It is the ratio of the observed output relative to the last term on the right-hand side of equation (5), which is the metafrontier output, adjusted for the corresponding
The metafrontier model enables the calculation of comparable technical efficiencies for firms operating under different technologies. The model also enables the technology gaps to be estimated for firms under different technologies relative to the potential technology available to the industry as a whole. metafrontier framework because of its ability to estimate the technology-gap ratios, in addition to estimated parameters of frontiers and technical inefficiencies.

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INTRODUCTION. With a population of 1.3 Using the metafrontier approach as a common production technology is more effective when wishing to compare relative technical efficiency levels across regions, Metafrontier Framework for the Study of Metafrontiers and productivity growth If D(x,y) represents the output distance function for the metafrontier, then.

2018-02-02
The metafrontier model enables the calculation of comparable technical efficiencies for firms operating under different technologies. The model also enables the technology gaps to be estimated for firms under different technologies relative to the potential technology available to the industry as a whole.

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### The metafrontier framework proposed by O'Donnell et al. enables the evaluation of relative efficiencies for decision‐making units (DMUs) operating under heterogeneous technologies. The metatechnology ratio ( MTR ) constructed under the metafrontier framework helps estimate the gap between group frontiers and the metafrontier, with its score between 0 and 1.

In Section we introduce the 2, "Assessing the performance of German Bundesliga football players: a non-parametric metafrontier approach," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. In this paper a semiparametric stochastic metafrontier approach is used to obtain insight into the performance of manufacturing firms in Europe. We differ from standard TFP studies at the firm level as we simul- taneously allow for inefficiency, noise and do not impose a functional form on the input–output relation. However, metafrontier estimation requires parameters obtained from initial stochastic frontier analysis. The metafrontier of the pooled sorghum plots’ managers is given by: l n Q z ∗ i = β z ∗ 0 + 6 ∑ j = 1 β z ∗ j l n X z ∗ i j + ε z i j , j = 1,2,3 , … , j l n Q i z ∗ = β 0 z ∗ + ∑ j = 1 6 β j z ∗ l n X i j z ∗ + ε i j z , j = 1,2,3 , … , j Metafrontier Productivity Indices: Questioning the Common Convexiﬁcation Strategy Qianying Jin∗ Kristiaan Kerstens† Ignace Van de Woestyne‡ 15th May 2019 Abstract While the construction of metafrontiers based on the union of underlying group fron- A metafrontier production function for estimation of technical efficiencies and technology gaps for firms operating under different technologies. Journal of productivity analysis, 21(1):91–103, 2004. The empirical results for the metafrontier analysis shows an average group technical efficiency (GE) score of 70.2% and average meta-technical efficiency of 56.7%.

## In other words, the metafrontier model is The use of the DEA methodology to construct the metafrontier considered as an envelope of all the possible group technologies. model is possible as long as we can identify separate frontiers for For example, if a particular output, y, can be produced using input different groups in the data set (O’Donnell et al., 2007).

The attractive feature of metafrontier … 2011-05-06 The metafrontier is assumed to be a smooth function and not a segmented envelope of the .

It is the ratio of the observed output relative to the last term on the right-hand side of equation (5), which is the metafrontier output, adjusted for the corresponding 2017-02-01 metafrontier is the nonconvex piecewise frontier, 1-B-3 . However, if the three groups arenot exhaustive, then other input–output combinations may be feasi- be decomposed into two components: a component that measures the distance. from an input–output point to the group frontier (the common measure of.