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A Spatial Autoregressive Stochastic Frontier Model for Panel Data with Asymmetric Efficiency Spillovers

Author

Listed:
  • Glass, Anthony J.

    (Loughborough University)

  • Kenjegalieva, Karligash

    (Loughborough University)

  • Sickles, Robin C.

    (Rice University and Loughborough University)

Abstract

By blending seminal literature on non-spatial stochastic frontier models with key contributions to spatial econometrics we develop a spatial autoregressive (SAR) sto- chastic frontier model for panel data. The specification of the SAR frontier allows efficiency to vary over time and across the cross-sections. Efficiency is calculated from a composed error structure by assuming a half-normal distribution for inefficiency. The spatial frontier is estimated using maximum likelihood methods taking into account the endogenous SAR variable. We apply our spatial estimator to an aggregate production frontier for 41 European countries over the period 1990-2011. In the application section, the fitted SAR stochastic frontier specification is used to discuss, among other things, the asymmetry between efficiency spillovers to and from a country.

Suggested Citation

  • Glass, Anthony J. & Kenjegalieva, Karligash & Sickles, Robin C., 2015. "A Spatial Autoregressive Stochastic Frontier Model for Panel Data with Asymmetric Efficiency Spillovers," Working Papers 15-014, Rice University, Department of Economics.
  • Handle: RePEc:ecl:riceco:15-014
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    1. Kelejian, Harry H & Prucha, Ingmar R, 1999. "A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 509-533, May.
    2. Amitabh Chandra & Douglas O. Staiger, 2007. "Productivity Spillovers in Health Care: Evidence from the Treatment of Heart Attacks," Journal of Political Economy, University of Chicago Press, vol. 115(1), pages 103-140.
    3. Greene, William H., 1982. "Maximum likelihood estimation of stochastic frontier production models," Journal of Econometrics, Elsevier, vol. 18(2), pages 285-289, February.
    4. Enrique López‐Bazo & Esther Vayá & Manuel Artís, 2004. "Regional Externalities And Growth: Evidence From European Regions," Journal of Regional Science, Wiley Blackwell, vol. 44(1), pages 43-73, February.
    5. Robert C. Feenstra & Robert Inklaar & Marcel P. Timmer, 2015. "The Next Generation of the Penn World Table," American Economic Review, American Economic Association, vol. 105(10), pages 3150-3182, October.
    6. Glass, Anthony & Kenjegalieva, Karligash & Sickles, Robin C., 2014. "Estimating efficiency spillovers with state level evidence for manufacturing in the US," Economics Letters, Elsevier, vol. 123(2), pages 154-159.
    7. Folster, Stefan & Henrekson, Magnus, 2001. "Growth effects of government expenditure and taxation in rich countries," European Economic Review, Elsevier, vol. 45(8), pages 1501-1520, August.
    8. Kelejian, Harry H & Prucha, Ingmar R, 1998. "A Generalized Spatial Two-Stage Least Squares Procedure for Estimating a Spatial Autoregressive Model with Autoregressive Disturbances," The Journal of Real Estate Finance and Economics, Springer, vol. 17(1), pages 99-121, July.
    9. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    10. Coe, David T. & Helpman, Elhanan, 1995. "International R&D spillovers," European Economic Review, Elsevier, vol. 39(5), pages 859-887, May.
    11. Wilfried Koch, 2008. "Development Accounting with Spatial Effects," Spatial Economic Analysis, Taylor & Francis Journals, vol. 3(3), pages 321-342.
    12. Wolfgang Keller, 2002. "Geographic Localization of International Technology Diffusion," American Economic Review, American Economic Association, vol. 92(1), pages 120-142, March.
    13. Wolfgang Keller & Stephen Ross Yeaple, 2013. "The Gravity of Knowledge," American Economic Review, American Economic Association, vol. 103(4), pages 1414-1444, June.
    14. Pfaffermayr, Michael, 2009. "Conditional [beta]- and [sigma]-convergence in space: A maximum likelihood approach," Regional Science and Urban Economics, Elsevier, vol. 39(1), pages 63-78, January.
    15. Bahar, Dany & Hausmann, Ricardo & Hidalgo, Cesar A., 2014. "Neighbors and the evolution of the comparative advantage of nations: Evidence of international knowledge diffusion?," Journal of International Economics, Elsevier, vol. 92(1), pages 111-123.
    16. Branstetter, Lee G., 2001. "Are knowledge spillovers international or intranational in scope?: Microeconometric evidence from the U.S. and Japan," Journal of International Economics, Elsevier, vol. 53(1), pages 53-79, February.
    17. Cem Ertur & Wilfried Koch, 2007. "Growth, technological interdependence and spatial externalities: theory and evidence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(6), pages 1033-1062.
    18. Kauermann G. & Carroll R.J., 2001. "A Note on the Efficiency of Sandwich Covariance Matrix Estimation," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1387-1396, December.
    19. Sourafel Girma & Holger Görg & Mauro Pisu, 2016. "Exporting, linkages and productivity spillovers from foreign direct investment," World Scientific Book Chapters, in: MULTINATIONAL ENTERPRISES AND HOST COUNTRY DEVELOPMENT Volume 53: World Scientific Studies in International Economics, chapter 10, pages 191-211, World Scientific Publishing Co. Pte. Ltd..
    20. Wolfgang Keller, 2004. "International Technology Diffusion," Journal of Economic Literature, American Economic Association, vol. 42(3), pages 752-782, September.
    21. Jondrow, James & Knox Lovell, C. A. & Materov, Ivan S. & Schmidt, Peter, 1982. "On the estimation of technical inefficiency in the stochastic frontier production function model," Journal of Econometrics, Elsevier, vol. 19(2-3), pages 233-238, August.
    22. Baltagi, Badi H., 2015. "The Oxford Handbook of Panel Data," OUP Catalogue, Oxford University Press, number 9780199940042.
    23. Kneip, Alois & Sickles, Robin C. & Song, Wonho, 2012. "A New Panel Data Treatment For Heterogeneity In Time Trends," Econometric Theory, Cambridge University Press, vol. 28(3), pages 590-628, June.
    24. Sourafel Girma, 2005. "Absorptive Capacity and Productivity Spillovers from FDI: A Threshold Regression Analysis," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(3), pages 281-306, June.
    25. Bottazzi, Laura & Peri, Giovanni, 2003. "Innovation and spillovers in regions: Evidence from European patent data," European Economic Review, Elsevier, vol. 47(4), pages 687-710, August.
    26. Paul M. Romer, 1987. "Crazy Explanations for the Productivity Slowdown," NBER Chapters, in: NBER Macroeconomics Annual 1987, Volume 2, pages 163-210, National Bureau of Economic Research, Inc.
    27. Kumbhakar, Subal C. & Wang, Hung-Jen, 2005. "Estimation of growth convergence using a stochastic production frontier approach," Economics Letters, Elsevier, vol. 88(3), pages 300-305, September.
    28. Takii, Sadayuki, 2005. "Productivity spillovers and characteristics of foreign multinational plants in Indonesian manufacturing 1990-1995," Journal of Development Economics, Elsevier, vol. 76(2), pages 521-542, April.
    29. Viliam Druska & William C. Horrace, 2004. "Generalized Moments Estimation for Spatial Panel Data: Indonesian Rice Farming," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(1), pages 185-198.
    30. Blazek, David & Sickles, Robin C., 2010. "The impact of knowledge accumulation and geographical spillovers on productivity and efficiency: The case of U. S. shipbuilding during WWII," Economic Modelling, Elsevier, vol. 27(6), pages 1484-1497, November.
    31. Stevenson, Rodney E., 1980. "Likelihood functions for generalized stochastic frontier estimation," Journal of Econometrics, Elsevier, vol. 13(1), pages 57-66, May.
    32. Girma, Sourafel & Wakelin, Katharine, 2007. "Local productivity spillovers from foreign direct investment in the U.K. electronics industry," Regional Science and Urban Economics, Elsevier, vol. 37(3), pages 399-412, May.
    33. ., 2013. "User guide," Chapters, in: International Review of National Competitiveness, chapter 1, pages 1-14, Edward Elgar Publishing.
    34. Greene, William H., 1990. "A Gamma-distributed stochastic frontier model," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 141-163.
    35. Schmidt, Peter & Sickles, Robin C, 1984. "Production Frontiers and Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 367-374, October.
    36. Fan, Yanqin & Li, Qi & Weersink, Alfons, 1996. "Semiparametric Estimation of Stochastic Production Frontier Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 460-468, October.
    37. 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.
    38. J. Paul Elhorst, 2014. "Matlab Software for Spatial Panels," International Regional Science Review, , vol. 37(3), pages 389-405, July.
    39. 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.
    40. Peter Egger & Michael Pfaffermayr, 2006. "Spatial convergence," Papers in Regional Science, Wiley Blackwell, vol. 85(2), pages 199-215, June.
    41. Michael Pfaffermayr, 2013. "The Cliff and Ord Test for Spatial Correlation of the Disturbances in Unbalanced Panel Models," International Regional Science Review, , vol. 36(4), pages 492-506, October.
    42. Cornwell, Christopher & Schmidt, Peter & Sickles, Robin C., 1990. "Production frontiers with cross-sectional and time-series variation in efficiency levels," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 185-200.
    43. Robin C. Sickles & William C. Horrace (ed.), 2014. "Festschrift in Honor of Peter Schmidt," Springer Books, Springer, edition 127, number 978-1-4899-8008-3, January.
    44. 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.
    45. Greene, William, 2005. "Reconsidering heterogeneity in panel data estimators of the stochastic frontier model," Journal of Econometrics, Elsevier, vol. 126(2), pages 269-303, June.
    46. Morakinyo Adetutu & Anthony Glass & Karligash Kenjegalieva & Robin Sickles, 2015. "The effects of efficiency and TFP growth on pollution in Europe: a multistage spatial analysis," Journal of Productivity Analysis, Springer, vol. 43(3), pages 307-326, June.
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    More about this item

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production

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