The use of the scaling property in a frontier analysis of a system of equations

References

• Agasisti, T., and S. Gralka. 2019. “The Transient and Persistent Efficiency of Italian and German Universities: A Stochastic Frontier Analysis.” Applied Economics 51 (46): 5012–5030. doi:10.1080/00036846.2019.1606409.
   Web of Science ®Google Scholar
• Aigner, D., C. A. K. Lovell, P. Schmidt, and P. Schmidt. 1977. “Formulation and Estimation of Stochastic Frontier Production Function Models.” Journal of Econometrics 6(1): 21–37. doi: 10.1016/0304-4076(77)90052-5.
   Google Scholar
• Alvarez, A., C. Amsler, L. Orea, and P. Schmidt. 2006. “Interpreting and Testing the Scaling Property in Models Where Inefficiency Depends on Firm Characteristics.” Journal of Productivity Analysis 25 (3): 201–212. doi:10.1007/s11123-006-7639-3.
   Web of Science ®Google Scholar
• Amsler, C., A. Prokhorov, and P. Schmidt. 2017. “Endogenous Environmental Variables in Stochastic Frontier Models.” Journal of Econometrics 199 (2): 131–140. doi:10.1016/j.jeconom.2017.05.005.
   Web of Science ®Google Scholar
• Barbetta, G. P., and G. Turati. 2003. “Efficiency of Junior High Schools and the Role of Proprietary Structure.” Annals of Public and Cooperative Economics 74 (4): 529–551. doi:10.1111/j.1467-8292.2003.00234.x.
   Google Scholar
• Battese, G. E., and T. J. Coelli. 1995. “A Model for Technical Inefficiency Effects in A Stochastic Frontier Production Function for Panel Data.” Empirical Economics 20 (2): 325–332. doi:10.1007/BF01205442.
   Google Scholar
• Bauer, P. W. 1990. “Recent Developments in the Econometric Estimation of Frontiers.” Journal of Econometrics 46 (1–2): 39–56. doi:10.1016/0304-4076(90)90046-V.
   Web of Science ®Google Scholar
• Bee, M., and P. J. Dolton. 1985. “Costs and Economies of Scale in UK Private Schools.” Applied Economics 17 (2): 281–290. doi:10.1080/00036848500000025.
   Web of Science ®Google Scholar
• Blank, J. L. T. 2000. Public Provision and Performance: Contributions from Efficiency and Productivity Measurement. Amsterdam: Elsevier.
   Google Scholar
• Blank, J. L. T. 2015. “Benchmarking and Operational Management: An Application of Frontier Analysis to Dutch Secondary Education.” In Contemporary Economic Perspectives in Education, edited by K. De Witte, 77–88. Leuven: Leuven University Press.
   Google Scholar
• Blank, J. L. T., and E. Eggink. 2004. “The Decomposition of Cost Efficiency: An Empirical Application of the Shadow Cost Function Model to Dutch General Hospitals.” Health Care Management Science 7 (2): 79–88. doi:10.1023/B:HCMS.0000020647.60327.b4.
   PubMedGoogle Scholar
• Chaudhuri, K., P. Chowdhury, and S. C. Kumbhakar. 2015. “Crime in India: Specification and Estimation of Violent Crime Index.” Journal of Productivity Analysis 43 (1): 13–28. doi:10.1007/s11123-014-0398-7.
   Web of Science ®Google Scholar
• Coelli, T. J., D. S. P. Rao, C. J. O’Donnell, G. E. Battese, C. J. O’Donnell, and G. E. Battese. 2005. An Introduction to Efficiency and Productivity Analysis. 2nd ed. New York: Springer.
   Google Scholar
• Färe, R., and Primont, D. 1995. Multi-Output Production and Duality: Theory and Applications. Dordrecht: Kluwer Academic Publishers.
   Google Scholar
• Foreman-Peck, J., and L. Foreman-Peck. 2006. “Should Schools Be Smaller? The Size-Performance Relationship for Welsh Schools.” Economics of Education Review 25 (2): 157–171. doi:10.1016/j.econedurev.2005.01.004.
   Web of Science ®Google Scholar
• Fried, H. O., C. A. K. Lovell, and S. S. Schmidt. 2008. The Measurement of Productive Efficiency and Productivity Growth. New York: Oxford University Press.
   Google Scholar
• Grosskopf, S., K. J. Hayes, and L. L. Taylor. 2009. “The Relative Efficiency of Charter Schools.” Annals of Public and Cooperative Economics 80 (1): 67–87. doi:10.1111/j.1467-8292.2008.00381.x.
   Google Scholar
• Haelermans, C. 2012. On the Productivity and Efficiency of Education: The Role of Innovations in Dutch Secondary Education. Top Institute for Evidence Based Education Research. Maastricht: Maastricht University.
   Google Scholar
• Haelermans, C., and J. Ruggiero. 2013. “Estimating Technical and Allocative Efficiency in the Public Sector; a Nonparametric Analysis of Dutch Schools.” European Journal of Operational Research 227 (1): 174–181. doi:10.1016/j.ejor.2012.12.004.
   Web of Science ®Google Scholar
• Haelermans, C., and J. L. T. Blank. 2012. “Is a Schools Performance Related to Technical Change? A Study on the Relationship between Innovations and Secondary School Productivity.” Computers & Education 59 (3): 884–892. Retrieved from http://www.sciencedirect.com/science/article/pii/S036013151200084X. 10.1016/j.compedu.2012.03.027
   Web of Science ®Google Scholar
• Haelermans, C., K. De Witte, and J. L. T. Blank. 2012. “On the Allocation of Resources for Secondary Schools.” Economics of Education Review 31 (5): 575–586. doi:10.1016/j.econedurev.2012.02.007.
   Web of Science ®Google Scholar
• Henderson, D. J., L. Simar, and L. Wang. 2017. “The Three I S of Public Schools: Irrelevant Inputs, Insufficient Resources and Inefficiency.” Applied Economics 49 (12): 1164–1184. doi:10.1080/00036846.2016.1213363.
   Web of Science ®Google Scholar
• Herfindahl, O. C. 1950. Concentration in the steel industry. Columbia University.
   Google Scholar
• Kumbhakar, C., and C. Lovell. 2000. Stochastic Frontier Analysis. New York: Cambridge University Press.
   Google Scholar
• Kumbhakar, S. C. 1997. “Modelling Allocative Inefficiency in a Translog Cost Function and Cost Share Equations.” Journal of Econometrics 76 (1–2): 351–356. doi:10.1016/0304-4076(95)01796-8.
   Web of Science ®Google Scholar
• KumKumbhakar, S. C., & Tsionas, E. G. 2005. The Joint Measurement of Technical and Allocative Inefficiencies: An Application of Bayesian Inference in Nonlinear Random-Effects Models. Journal of the American Statistical Association, 100 (471), 736–747.
   Google Scholar
• Maietta, O. W. 2002. “The Effect of the Normalisation of the Shadow Price Vector on the Cost Function Estimation.” Economics Letters 77 (3): 381–385. doi:10.1016/S0165-1765(02)00152-0.
   Web of Science ®Google Scholar
• Marconi, G., and J. Ritzen. 2015. “Determinants of International University Rankings Scores.” Applied Economics 47 (57): 6211–6227. doi:10.1080/00036846.2015.1068921.
   Web of Science ®Google Scholar
• Meeusen, W., and J. Van den Broeck. 1977. “Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error.” International Economic Review 18 (8): 435–444. doi:10.2307/2525757.
   Google Scholar
• Millimet, D. L., and T. Collier. 2008. “Efficiency in Public Schools: Does Competition Matter?” Journal of Econometrics 145 (1–2): 134–157. doi:10.1016/j.jeconom.2008.05.001.
   Web of Science ®Google Scholar
• Ni, Y. 2009. “The Impact of Charter Schools on the Efficiency of Traditional Public Schools: Evidence from Michigan.” Economics of Education Review 28 (5): 571–584. doi:10.1016/j.econedurev.2009.01.003.
   Web of Science ®Google Scholar
• Parmeter, C., and S. Kumbhakar. 2014. Efficiency Analysis: A Primer on Recent Advances. Miami, New York.
   Google Scholar
• Schmidt, P. 2011. “One-step and Two-step Estimation in SFA Models.” Journal of Productivity Analysis 36 (2): 201–203. doi:10.1007/s11123-011-0228-0.
   Web of Science ®Google Scholar
• Schmidt, P., and C. A. Knox Lovell. 1979. “Estimating Technical and Allocative Inefficiency Relative to Stochastic Production and Cost Frontiers.” Journal of Econometrics 9 (3): 343–366. doi:10.1016/0304-4076(79)90078-2.
   Google Scholar
• Schmidt, P., and C. A. K. Lovell. 1980. “Estimating Stochastic Production and Cost Frontiers When Technical and Allocative Inefficiency are Correlated.” Journal of Econometrics 13 (1): 83–100. doi:10.1016/0304-4076(80)90044-5.
   Web of Science ®Google Scholar
• Simar, L., C. A. K. Lovell, and P. Vanden Eeckaut (1994). Stochastic frontiers incorporating exogenous influences on efficiency (Discussion Papers No. 9403). Institut de Statistique, Université Catholique de Louvain.
   Google Scholar
• Smet, M., and W. Nonneman. 1998. “Economies of Scale and Scope in Flemish Secondary Schools.” Applied Economics 30 (9): 1251–1258. doi:10.1080/000368498325138.
   Web of Science ®Google Scholar
• Veiderpass, A., and M. McKelvey. 2016. “Evaluating the Performance of Higher Education Institutions in Europe: A Nonparametric Efficiency Analysis of 944 Institutions.” Applied Economics 48 (16): 1504–1514. doi:10.1080/00036846.2015.1102844.
   Web of Science ®Google Scholar
• Wang, H. J., and P. Schmidt. 2002. “One-step and Two-step Estimation of the Effects of Exogenous Variables on Technical Efficiency Levels.” Journal of Productivity Analysis 18 (2): 129–144. doi:10.1023/A:1016565719882.
   Web of Science ®Google Scholar
• Watt, P. A. 1980. “Economies of Scale in Schools: Some Evidence from the Private Sector.” Applied Economics 12 (2): 235–242. doi:10.1080/00036848000000027.
   Web of Science ®Google Scholar