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On the estimation of spatial stochastic frontier models: an alternative skew-normal approach

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  • Thomas Graaff

    (Vrije Universiteit Amsterdam)

Abstract

This paper deals with an alternative approach to combine spatial dependence and stochastic frontier models using a large statistical literature on skew-normal distribution functions. I show how to combine a spatial dependence structure with a stochastic frontier model, that is, (1) straightforward to estimate, (2) able to combine spatial dependence and a technical efficiency term in a single error term, and (3) produce consistent estimates. With smaller sample sizes estimation of the parameter, governing technical efficiencies becomes imprecise. The consistency of parameter estimation is shown using simulations, and I provide an empirical application to estimate spatially correlated technical efficiencies within an European regional production function context.

Suggested Citation

  • Thomas Graaff, 2020. "On the estimation of spatial stochastic frontier models: an alternative skew-normal approach," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 64(2), pages 267-285, April.
  • Handle: RePEc:spr:anresc:v:64:y:2020:i:2:d:10.1007_s00168-019-00928-9
    DOI: 10.1007/s00168-019-00928-9
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    1. Alexandra Schmidt & Ajax Moreira & Steven Helfand & Thais Fonseca, 2009. "Spatial stochastic frontier models: accounting for unobserved local determinants of inefficiency," Journal of Productivity Analysis, Springer, vol. 31(2), pages 101-112, April.
    2. Elisa Fusco & Francesco Vidoli, 2013. "Spatial stochastic frontier models: controlling spatial global and local heterogeneity," International Review of Applied Economics, Taylor & Francis Journals, vol. 27(5), pages 679-694, September.
    3. Kumbhakar, Subal C. & Tsionas, Efthymios G., 2006. "Estimation of stochastic frontier production functions with input-oriented technical efficiency," Journal of Econometrics, Elsevier, vol. 133(1), pages 71-96, July.
    4. Wang, Wei Siang & Schmidt, Peter, 2009. "On the distribution of estimated technical efficiency in stochastic frontier models," Journal of Econometrics, Elsevier, vol. 148(1), pages 36-45, January.
    5. Luc Anselin & Raymond J. G. M. Florax, 1995. "Small Sample Properties of Tests for Spatial Dependence in Regression Models: Some Further Results," Advances in Spatial Science, in: Luc Anselin & Raymond J. G. M. Florax (ed.), New Directions in Spatial Econometrics, chapter 2, pages 21-74, Springer.
    6. Jaume Puig‐Junoy, 2001. "Technical Inefficiency and Public Capital in U.S. States: A Stochastic Frontier Approach," Journal of Regional Science, Wiley Blackwell, vol. 41(1), pages 75-96, February.
    7. Wang, Hung-Jen & Ho, Chia-Wen, 2010. "Estimating fixed-effect panel stochastic frontier models by model transformation," Journal of Econometrics, Elsevier, vol. 157(2), pages 286-296, August.
    8. Meeusen, Wim & van den Broeck, Julien, 1977. "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 435-444, June.
    9. Francisco José Areal & Kelvin Balcombe & Richard Tiffin, 2012. "Integrating spatial dependence into Stochastic Frontier Analysis," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 56(4), pages 521-541, October.
    10. Lavado, Rouselle F. & Barrios, Erniel B., 2010. "Spatial Stochastic Frontier Models," Discussion Papers DP 2010-08, Philippine Institute for Development Studies.
    11. Andres Rodriguez-Pose & Riccardo regstdcenzi, 2008. "Research and Development, Spillovers, Innovation Systems, and the Genesis of Regional Growth in Europe," Regional Studies, Taylor & Francis Journals, vol. 42(1), pages 51-67.
    12. Glass, Anthony J. & Kenjegalieva, Karligash & Sickles, Robin C., 2016. "A spatial autoregressive stochastic frontier model for panel data with asymmetric efficiency spillovers," Journal of Econometrics, Elsevier, vol. 190(2), pages 289-300.
    13. Chen, Yi-Yi & Schmidt, Peter & Wang, Hung-Jen, 2014. "Consistent estimation of the fixed effects stochastic frontier model," Journal of Econometrics, Elsevier, vol. 181(2), pages 65-76.
    14. Pavlyuk, Dmitry, 2010. "Regional Tourism Competition in the Baltic States: a Spatial Stochastic Frontier Approach," MPRA Paper 25052, University Library of Munich, Germany.
    15. Jaume Puig & Jaime Pinilla, 2008. "Why are some Spanish regions so much more efficient than others?," Economics Working Papers 1067, Department of Economics and Business, Universitat Pompeu Fabra.
    16. Glass, Anthony & Kenjegalieva, Karligash & Paez-Farrell, Juan, 2013. "Productivity growth decomposition using a spatial autoregressive frontier model," Economics Letters, Elsevier, vol. 119(3), pages 291-295.
    17. Nigel Driffield & Max Munday, 2001. "Foreign Manufacturing, Regional Agglomeration and Technical Efficiency in UK Industries: A Stochastic Production Frontier Approach," Regional Studies, Taylor & Francis Journals, vol. 35(5), pages 391-399.
    18. Evert Meijers & Martijn Burger & Mark Thissen & Thomas Graaff & Frank Oort, 2016. "Competitive network positions in trade and structural economic growth: A geographically weighted regression analysis for European regions," Papers in Regional Science, Wiley Blackwell, vol. 95(1), pages 159-180, March.
    19. Akihiro Otsuka, 2017. "Regional determinants of total factor productivity in Japan: stochastic frontier analysis," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 58(3), pages 579-596, May.
    20. Roberto Basile & Roberta Capello & Andrea Caragliu, 2012. "Technological interdependence and regional growth in Europe: Proximity and synergy in knowledge spillovers," Papers in Regional Science, Wiley Blackwell, vol. 91(4), pages 697-722, November.
    21. Resti, Andrea, 1997. "Evaluating the cost-efficiency of the Italian Banking System: What can be learned from the joint application of parametric and non-parametric techniques," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 221-250, February.
    22. Efthymios G. Tsionas & Panayotis G. Michaelides, 2016. "A Spatial Stochastic Frontier Model with Spillovers: Evidence for Italian Regions," Scottish Journal of Political Economy, Scottish Economic Society, vol. 63(3), pages 243-257, July.
    23. Antonio Alvarez, 2007. "Decomposing regional productivity growth using an aggregate production frontier," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 41(2), pages 431-441, June.
    24. Adelchi Azzalini, 2005. "The Skew‐normal Distribution and Related Multivariate Families," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 32(2), pages 159-188, June.
    25. Vidoli, Francesco & Cardillo, Concetta & Fusco, Elisa & Canello, Jacopo, 2016. "Spatial nonstationarity in the stochastic frontier model: An application to the Italian wine industry," Regional Science and Urban Economics, Elsevier, vol. 61(C), pages 153-164.
    26. Lei Jiang & Henk Folmer & Minhe Ji & Jianjun Tang, 2017. "Energy efficiency in the Chinese provinces: a fixed effects stochastic frontier spatial Durbin error panel analysis," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 58(2), pages 301-319, March.
    27. Arellano-Valle, Reinaldo B. & Azzalini, Adelchi, 2008. "The centred parametrization for the multivariate skew-normal distribution," Journal of Multivariate Analysis, Elsevier, vol. 99(7), pages 1362-1382, August.
    28. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
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    JEL classification:

    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • R15 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Econometric and Input-Output Models; Other Methods

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