Meta-frontier and technology switchers: A nonparametric approach

Data envelopment analysis; Meta-frontier; Technology club; Technology gap; Technology switcher; Efficiency analysis; Empirical studies; Fixed numbers; Nonparametric approaches; Nonparametrics; Panel data; Computer Science (all); Modeling and Simulation; Management Science and Operations Research; Information Systems and Management; General Computer Science; Industrial and Manufacturing Engineering

Abstract :

[en] The concept of meta-frontier has been proposed in order to deal with group heterogeneity among entities for nonparametric efficiency analysis. In brief, the meta-frontier is defined as the envelopment of the group-specific frontiers and naturally allows one to distinguish inefficiency from technology gap. While this concept has demonstrated its usefulness for empirical studies and been extended in several directions, two major shortcomings are the fixed number of groups and the static allocation of entities across groups. This is particularly problematic when dealing with panel data. In this paper, we extend the meta-frontier approach when technology switchers are considered, and quantify the impacts of the switchers on inefficient behavior and technology gap. We demonstrate the usefulness of our new methodology with the case of the technology clubs in the world economy.

Disciplines :

Quantitative methods in economics & management

Author, co-author :

Walheer, Barnabé ; Université de Liège - ULiège > HEC Liège : UER > UER Economie : Microéconométrie et économétrie appliquée

Language :

English

Title :

Meta-frontier and technology switchers: A nonparametric approach

Publication date :

2023

Journal title :

European Journal of Operational Research

ISSN :

0377-2217

eISSN :

1872-6860

Publisher :

Elsevier B.V.

Volume :

305

Pages :

463-474

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://api.elsevier.com/content/article/PII:S0377221722004271?httpAccept=text/xml

Available on ORBi :

since 17 June 2022

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Bibliography

Abramovitz, M., Catching-up, forging ahead and falling behind. Journal of Economic History 46 (1986), 385–406.
Acemoglu, D., Aghion, P., Zilibotti, F., Distance to frontier, selection, and economic growth. Journal of the European Economic Association 4:1 (2006), 37–74.
Afsharian, M., A linear programming approach to efficiency evaluation in nonconvex metatechnologies. European Journal of Operational Research 268:1 (2018), 268–280.
Alfo, M., Trovato, G., Waldmann, R., Testing for country heterogeneity in growth models using a finite mixture approach. Journal of Applied Econometrics 23 (2008), 487–514.
Amsler, C., O'Donnell, C.J., Schmidt, P., Stochastic metafrontiers. Econometric Reviews 36:6–9 (2017), 1007–1020.
Apergis, N., Convergence in public expenditure across a sample of emerging countries: Evidence from club convergence. Emerging Markets Finance and Trade 51 (2015), 448–462.
Aravindakshan, S., Rossi, F., Amjath-Babu, T.S., Veettil, P.C., Krupnik, T.J., Application of a bias-corrected meta-frontier approach and an endogenous switching regression to analyze the technical efficiency of conservation tillage for wheat in South Asia. Journal of Productivity Analysis 49:2 (2018), 153–171.
Assaf, A., Barros, C.P., Josiassen, A., Hotel efficiency: A bootstrapped metafrontier approach. International Journal of Hospitality Management 31 (2012), 621–629.
Azad, M.A.K., Munisamy, S., Masum, A.K.M., Saona, P., Wanke, P., Bank efficiency in Malaysia: A use of malmquist meta-frontier analysis. Eurasian Business Review 7 (2017), 287–311.
Azariadis, C., Drazen, A., Threshold externalities in economic development. The Quarterly Journal of Economics 105 (1990), 501–526.
Banker, R.D., Natarajan, R., Statistical tests based on DEA efficiency scores. Handbook on data envelopment analysis, 2011, Springer, Boston, MA.
Battese, G.E., Rao, D.S.P., Technology gap, efficiency, and a stochastic metafrontier function. International Journal of Business Economics 1:2 (2002), 87–93.
Battese, G.E., Rao, D.S.P., O'Donnell, C.J., A metafrontier production function for estimation of technical efficiencies and technology gaps for firms operating under different technologies. Journal of Productivity Analysis 21 (2004), 91–103.
Beltran-Esteve, M., Gmez-Limn, J.A., Picazo-Tadeo, A., Reig-Martnez, E., A metafrontier directional distance function approach to assessing eco-efficiency. Journal of Productivity Analysis 41:1 (2014), 69–83.
Bernard, A., Durlauf, S., Interpreting tests of the convergence hypothesis. Journal of Econometrics 71 (1996), 161–173.
Bernard, A., Jones, C., Technology and convergence. Economic Journal 106:6 (1996), 1037–1044.
Biorn, E., Hagen, T.P., Iversen, T., Magnussen, D., The effect of activity-based financing on hospital efficiency: A panel data analysis of DEA efficiency scores 1992000. Health Care Management Science 6:4 (2003), 271–283.
Bloom, E.D., Canning, D., Sevilla, J., Geography and poverty traps. Journal of Economic Growth 8 (2003), 355–378.
Bos, J.W., Candelon, B., Economidou, C., Does knowledge spill over across borders and technology regimes?. Journal of Productivity Analysis 46:1 (2016), 63–82.
Bos, J.W., Economidou, C., Koetter, M., Technology clubs, R&D and growth patterns: Evidence from EU manufacturing. European economic review 54:1 (2010), 60–79.
Bos, J.W., Economidou, C., Koetter, M., Kolari, J.W., Do all countries grow alike?. Journal of Development Economics 91:1 (2010), 113–127.
Breiman, L., Friedman, J.H., Olshen, R.A., Stone, C.J., Classification and regression trees. 1984, Chapman & Hall/CRC.
Castellacci, F., Technology clubs, technology gaps and growth trajectories. Structural Change and Economic Dynamics 19:4 (2008), 301–314.
Castellacci, F., Closing the technology gap?. Review of Development Economics 15:1 (2011), 180–197.
Castellacci, F., Archibugi, D., The technology clubs: The distribution of knowledge across nations. Research Policy 37:10 (2008), 1659–1673.
Castellacci, F., Natera, J.M., Innovation, absorptive capacity and growth heterogeneity: Development paths in Latin America 19702010. Structural Change and Economic Dynamics 37 (2016), 27–42.
Caves, D.W., Christensen, L.R., Diewert, W.E., The economic theory of index numbers and the measurement of input, output and productivity. Econometrica 50 (1982), 1393–1414.
Chang, V., Tovar, B., Metafrontier analysis on productivity for west coast of south pacific terminals. Transportation Research Part A: Policy and Practice 103 (2017), 118–134.
Charnes, A., Cooper, W.W., Rhodes, E., Measuring the efficiency of decision making units. European Journal of Operational Research 2 (1978), 429–444.
Chen, K.-H., Huang, Y.-J., Yang, C.H., Analysis of regional productivity growth in China: A generalized metafrontier MPI approach. China Economic Review 20 (2009), 777–792.
Cherchye, L., Lovell, C.A., Moesen, W., Van Puyenbroeck, T., One market, one number? A composite indicator assessment of EU internal market dynamics. European Economic Review 51 (2007), 749–779.
Cherchye, L., Moesen, W., Rogge, N., Van Puyenbroeck, T., An introduction to benefit of the doubt composite indicators. Social Indicators Research 82 (2007), 111–145.
Daouia, A., Simar, L., Nonparametric efficiency analysis: A multivariate conditional quantile approach. Journal of Econometrics 140 (2007), 375–400.
Daraio, C., Simar, L., Advanced robust and nonparametric methods in efficiency analysis. methodology and applications. 2007, Springer.
Das, G.G., Drine, I., Distance from the technology frontier: How could africa catch-up via socio-institutional factors and human capital?. Technological Forecasting and Social Change 150 (2020), 119–755.
Durlauf, S., Johnson, P.A., Multiple regimes and cross-country growth behavior. Journal of Applied Econometrics 10 (1995), 365–384.
Duygun, M., Sena, V., Shaban, M., Trademarking activities and total factor productivity: Some evidence for british commercial banks using a metafrontier approach. Journal of Banking and Finance, 72, 2016, S70-S80.
Emrouznejad, A., Yang, G.L., A survey and analysis of the first 40 years of scholarly literature in DEA: 19782016. Socio-Economic Planning Sciences 61 (2018), 4–8.
Färe, R., Grosskopf, S., Norris, M., Zhang, Z., Productivity growth, technical progress, and efficiency change in industrialized countries. American Economic Review 84:1 (1994), 66–83.
Färe, R., Zelenyuk, V., On Farrell's decomposition and aggregation. European Journal of Operational Research 146 (2003), 615–620.
Fiaschi, D., Lavezzi, A., Nonlinear economic growth: Some theory and cross-country evidence. Journal of Development Economics 84 (2007), 271–290.
Fu, T.-T., Juo, J.-C., Chiang, H.-C., Yu, M.-M., Huang, M.Y., Risk-based decompositions of the meta profit efficiency of taiwanese and Chinese bank. Omega 62 (2016), 34–46.
Galor, O., Convergence? Inferences from theoretical models. Economic Journal 106 (1996), 1056–1096.
Gong, G., Keller, W., Convergence and polarization in global income levels: A review of recent results on the role of international technology diffusion. Research Policy 32 (2003), 1055–1079.
Green, W.H., Reconsidering heterogeneity in panel data estimators of the stochastic frontier model. Journal of Econometrics 126:2 (2005), 269–303.
Hall, R., Jones, C., Why do some countries produce so much more output per worker than others. Quarterly Journal of Economics 114:1 (1999), 83–116.
Hayami, Y., Sources of agricultural productivity gap among selected countries. American Journal of Agricultural Economics 51 (1969), 564–575.
Hayami, Y., Ruttan, V.W., Agricultural productivity differences among countries. American Economic Review 60 (1970), 895–911.
He, M., Walheer, B., Technical efficiency and technology gap of the manufacturing industry in China: Does firm ownership matter?. World Development 127 (2020), 104–769.
He, M., Walheer, B., Spillovers and path dependences in the chinese manufacturing industry: A firm-level analysis. Journal of Development Studies 56 (2020), 817–839.
Henderson, D.J., Russell, R.R., Human capital and convergence: A production-frontier approach. International Economic Review 46:4 (2005), 1167–1205.
Howitt, P., Endogenous growth and cross-country income differences. American Economic Review 90:4 (2000), 829–846.
Howitt, P., Mayer-Foulkes, D., R&D, implementation and stagnation: A schumpeterian theory of convergence clubs. Journal of Money, Credit and Banking 37:1 (2005), 147–177.
Huang, C.W., Ho, F.N., Chiu, Y.H., Measurement of tourist hotels’ productive efficiency, occupancy, and catering service effectiveness using a modified two-stage DEA model in Taiwan. Omega 48 (2014), 49–59.
Huang, C.-W., Ting, C.-T., Lin, C.-H., Lin, C.T., Measuring non-convex metafrontier efficiency in international tourist hotels. Journal of the Operational Research Society 64 (2013), 250–259.
Hynninen, S.-M., Ojala, J., Pehkonen, J., Technological change and wage premiums: Historical evidence from linked employer-employee data. Labour Economics 24 (2013), 1–11.
Islam, N., International comparison of total factor productivity: A review. Review of Income and Wealth 45:4 (1999), 493–518.
Jiang, N., Sharp, B., Technical efficiency and technological gap of New Zealand dairy farms: A stochastic meta-frontier model. Journal of Productivity Analysis 44 (2015), 39–49.
Jin, Q., Kerstens, K., Van de Woestyne, I., Metafrontier productivity indices: Questioning the common convexification strategy. European Journal of Operational Research 283 (2020), 737–747.
Kalaitzidakis, P., Mamuneas, T., Savvides, A., Stengos, T., Measures of human capital and nonlinearities in economic growth. Journal of Economic Growth 6 (2001), 229–254.
Kontolaimou, A., Kounetas, K., Mourtos, I., Tsekouras, K., Technology gaps in European banking: Put the blame on inputs or outputs?. Economic Modeling 29:5 (2012), 1798–1808.
Kontolaimou, A., Tsekouras, K., Are cooperatives the weakest link in European banking? A non-parametric metafrontier approach. Journal of Banking and Finance 34:8 (2010), 1946–1957.
Kounetas, K., Heterogeneous technologies, strategic groups and environmental efficiency technology gaps for european countries. Energy Policy 83 (2015), 277–287.
Kumar, S., Russell, R.R., Technological change, technological catch-up, and capital deepening: Relative contributions to growth and convergence. American Economic Review 92:3 (2002), 527–548.
Lewis, H.F., Sexton, T.R., Network DEA: Efficiency analysis of organizations with complex internal structure. Computers & Operations Research 31:9 (2004), 1365–1410.
Li, H.-Z., Kopsakangas-Savolainen, M., Xiao, X.-Z., Lau, S.Y., Have regulatory reforms improved the efficiency levels of the Japanese electricity distribution sector? A cost metafrontier-based analysis. Energy Policy 108 (2017), 606–616.
Lin, B., Du, K., Technology gap and China's regional energy efficiency: A parametric metafrontier approach. Energy Economics 40 (2013), 529–536.
Maasoumi, E., Racine, J., Stengos, T., Growth and convergence: A profile of distribution of dynamics and mobility. Journal of Econometrics 136 (2007), 483–508.
O'Donnell, C.J., Rao, D.S.P., Battese, G.E., Metafrontier frameworks for the study of firm-level efficiencies and technology ratios. Empirical Economics 34 (2008), 231–255.
Orea, L., Kumbhakar, S.C., Efficiency measurement using a latent class stochastic frontier model. Empirical Economics 29:1 (2004), 169–183.
Owen, A.L., Videras, J., Davis, L., Do all countries follow the same growth process?. Journal of Economic Growth 14:4 (2009), 265–286.
Prescott, E.C., Needed: A theory of total factor productivity. International Economic Review 39:3 (1998), 525–551.
Saba, C.S., David, O.O., Convergence patterns in global ICT: Fresh insights from a club clustering algorithm. Telecommunications Policy, 44(10), 2020, 102010.
Sharma, K.R., Leung, P.S., Chen, H., Peterson, A., Economic efficiency and optimum stocking densities in fish polyculture: An application of data envelopment analysis (DEA) to chinese fish farms. Aquaculture 180 (1999), 207–221.
Simar, L., Vanhems, A., Probabilistic characterization of directional distances and their robust versions. Journal of Econometrics 166 (2012), 342–354.
Simar, L., Vanhems, A., Van Keilegom, I., Unobserved heterogeneity and endogeneity in nonparametric frontier estimation. Journal of Econometrics, 190(2), 2016, 360-373.
Stollinger, R., International spillovers in a world of technology clubs. Structural Change and Economic Dynamics 27 (2013), 19–35.
Tsekouras, K., Chatzistamoulou, N., Kounetas, K., Broadstock, D.C., Spillovers, path dependence and the productive performance of European transportation sectors in the presence of technology heterogeneity. Technological Forecasting and Social Change 102 (2016), 261–274.
Tsionas, E.G., Kumbhakar, S.C., Markov switching stochastic frontier model. The Econometrics Journal 7:2 (2004), 398–425.
Tulkens, H., On FDH analysis: Some methodological issues and applications to retail banking, courts and urban transit. Journal of Productivity Analysis 4 (1993), 183–210.
Valdmanis, V., Sensitivity analysis for DEA models: An empirical example using public vs. NFP hospitals. Journal of Public Economics 48 (1992), 185–205.
Walheer, B., Growth and convergence of the OECD countries: A multi-sector production-frontier approach. European Journal of Operational Research 252 (2016), 665–675.
Walheer, B., Aggregation of metafrontier technology gap ratios: The case of European sectors in 1995–2015. European Journal of Operational Research 269:3 (2018), 1013–1026.
Walheer, B., Labour productivity growth and energy in Europe: A production-frontier approach. Energy 152 (2018), 129–143.
Walheer, B., Disentangling heterogeneity gaps and pure performance differences in composite indexes over time: The case of the Europe 2020 strategy. Social Indicators Research 143 (2019), 25–45.
Walheer, B., Labor productivity and technology heterogeneity. Journal of Macroeconomics, 68, 2021, 103290.
Walheer, B., Zhang, L.J., Profit Luenberger and Malmquist-Luenberger indexes for multi-activity decision making units: The case of the star-rated hotel industry in China. Tourism Management 69 (2018), 1–11.
Yang, J., Cheng, J., Huang, S., CO2 emissions performance and reduction potential in Chinas manufacturing industry: A multi-hierarchy meta-frontier approach. Journal of Cleaner Production 255 (2020), 120–226.
Zhou, P., Ang, B.W., Poh, K.L., Measuring environmental performance under different environmental DEA technologies. Energy Economics 30 (2008), 1–14.