We consider the case of production units arranged into a number of groups. All units within a group choose output-input combinations from the same production possibilities set, which is represented by a stochastic frontier model. The metafrontier is the envelope (over groups) of the group-specific frontiers. We are interested in the unit’s inefficiency relative to its group-specific frontier, b...

Under the concept of metafrontier, technology gap ratio is alternatively interpreted as potential energy efficiency. Combined with Malmquist index framework and Shephard energy distance function, we then develop a metafrontier Malmquist energy productivity index to analyze the total-factor energy productivity growth with four specific components: groupfrontier efficiency change index, groupfron...

The paper presents a metafrontier production function model for farm’s different groups having different technologies. The metafrontier model enables the computation of comparable technical efficiencies for farms operating under different technologies. The model also enables the technology gaps to be estimated for wheat farms under different technologies relative to the potential technology ava...

This article presents a novel model for evaluating the performance of field players in football. Based upon Data Envelopment Analysis (DEA), we employ a nonconcave metafrontier approach that permits estimation of players’ efficiency scores under consideration of their playing positions. The model is applied to a data set of Germany’s premier league football players covering the playing seasons ...

The aim of this paper is to use the concept of the metafrontier function to study the determination of efficiency differentials and Technological Gap Ratio (TGR) on wheat production in Khorasan Razavi province. In this study, we used the metafrontier function and group frontier based on the concept of Stochastic Nonparametric Envelopment of Data analysis (StoNED). The data used in this stud...

Despite remaining the most important type of animal production, pig production in Poland and Hungary declined after their accession to European Union (EU) 2004. This paper investigated evolution technical efficiency pork industry both countries. We applied stochastic frontier analysis, which takes into account heterogeneity environment functions countries—true random effects, a metafrontier mod...

in this article, we have used 36 electricity distribution companies of iran and by using input-oriented dea, we analysis the companies technical efficiency with respect to group frontier and metafrontier following restructuring, then we investigate the factors affecting efficiency. the companies decomposed to two groups in terms of high and low circuit density. for discussing the impact of stru...

the aim of this study is to investigate the context by which veterinary services may affect technical efficiency (te) of iranian dairy farms. a data envelopment analysis (dea) was applied to a random sample of 840 dairy farms from six provinces across iran to estimate regional frontier and metafrontier production functions and also to calculate corresponding te of these farms. the relationship ...