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Semiparametric Efficient Estimation of AR(1) Panel Data Models

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  • Byeong Park

    (Seoul National University)

  • Robin C. Sickles

    (Rice University)

  • Leopold Simar

    (Universite Catholique de Louvain)

Abstract

This study focuses on the semiparametric efficient estimation of random effect panel models containing AR(1) disturbances. We also consider such estimators when the effects and regressors are correlated (Hausman and Taylor, 1981). One motivation for such a model is the need to estimate a stochastic frontier distance function, isolate the fixed effects estimates, and interpret transformations of them as firm-specific relative efficiencies (Schmidt and Sickles, 1984). In markets in which regulatory constraints have been lessened or done away with, these market shocks may not be adjusted to immediately and may induce a serial correlation pattern in within firm variations. In the banking industry, whose productivity we analyze over the 1980's and 1990's, these aspects of semiparametric efficient estimation become important in order to resolve questions concerning the proper measurement of financial deregulation's impact on productivity. We introduce two semiparametric efficient estimators that make minimal assumptions on the distribution of the random errors, effects, and the regressors and that provide semiparametric efficient estimates of the slope parameters and of the effects. Our estimators extend the previous work of Park and Simar (1995), Park, Sickles, and Simar (1998), and Adams, Berger, and Sickles (1998).

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Bibliographic Info

Paper provided by Econometric Society in its series Econometric Society World Congress 2000 Contributed Papers with number 1510.

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Date of creation: 01 Aug 2000
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Handle: RePEc:ecm:wc2000:1510

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References

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  1. Hausman, Jerry A. & Taylor, William E., 1981. "Panel data and unobservable individual effects," Journal of Econometrics, Elsevier, vol. 16(1), pages 155-155, May.
  2. P.A.V.B. Swamy & Jalal D. Akhavein & Stephen B. Taubman, 1994. "A general method of deriving the efficiencies of banks from a profit function," Finance and Economics Discussion Series 94-11, Board of Governors of the Federal Reserve System (U.S.).
  3. Park, B. U. & Simar, L., . "Efficient semiparametric estimation in a stochastic frontier model," CORE Discussion Papers RP -1113, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Allen N. Berger & Anil K. Kashyap & Joseph M. Scalise, 1995. "The Transformation of the U.S. Banking Industry: What a Long, Strange Trips It's Been," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 26(2), pages 55-218.
  5. M Arellano & O Bover, 1990. "Another Look at the Instrumental Variable Estimation of Error-Components Models," CEP Discussion Papers dp0007, Centre for Economic Performance, LSE.
  6. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1, January.
  7. Battese, George E. & Coelli, Tim J., 1988. "Prediction of firm-level technical efficiencies with a generalized frontier production function and panel data," Journal of Econometrics, Elsevier, vol. 38(3), pages 387-399, July.
  8. PARK, Byeong U. & SICKLES, Robin C. & SIMAR, Léopold, 1996. "Stochastic Panel Frontiers : A Semiparametric Approach," CORE Discussion Papers 1996038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  9. Schmidt, Peter & Sickles, Robin C, 1984. "Production Frontiers and Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 367-74, October.
  10. PARK, Byeong & SICKLES, Robin & SIMAR, Léopold, 1993. "Stochastic Frontiers : A Semiparametric Approach," CORE Discussion Papers 1993057, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. So Im, Kyung & Ahn, Seung C. & Schmidt, Peter & Wooldridge, Jeffrey M., 1999. "Efficient estimation of panel data models with strictly exogenous explanatory variables," Journal of Econometrics, Elsevier, vol. 93(1), pages 177-201, November.
  12. 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.
  13. Chamberlain, Gary, 1987. "Asymptotic efficiency in estimation with conditional moment restrictions," Journal of Econometrics, Elsevier, vol. 34(3), pages 305-334, March.
  14. 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.
  15. Dennis J. Fixler & Kimberly D. Zieschang, 1992. "User Costs, Shadow Prices, and the Real Output of Banks," NBER Chapters, in: Output Measurement in the Service Sectors, pages 219-243 National Bureau of Economic Research, Inc.
  16. Kiefer, Nicholas M., 1980. "Estimation of fixed effect models for time series of cross-sections with arbitrary intertemporal covariance," Journal of Econometrics, Elsevier, vol. 14(2), pages 195-202, October.
  17. Joel L. Horowitz & Marianthi Markatou, 1993. "Semiparametric Estimation Of Regression Models For Panel Data," Econometrics 9309001, EconWPA.
  18. Adams, Robert M & Berger, Allen N & Sickles, Robin C, 1999. "Semiparametric Approaches to Stochastic Panel Frontiers with Applications in the Banking Industry," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(3), pages 349-58, July.
  19. Jeon, Byung M. & Brown, Bryan, 2001. "Efficient Semiparametric Estimation of Expectations in Dynamic Nonlinear Systems," Working Papers 2001-09, Rice University, Department of Economics.
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Citations

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Cited by:
  1. Timo Kuosmanen & Mika Kortelainen, 2012. "Stochastic non-smooth envelopment of data: semi-parametric frontier estimation subject to shape constraints," Journal of Productivity Analysis, Springer, vol. 38(1), pages 11-28, August.
  2. Sickles, Robin C., 2005. "Panel estimators and the identification of firm-specific efficiency levels in parametric, semiparametric and nonparametric settings," Journal of Econometrics, Elsevier, vol. 126(2), pages 305-334, June.
  3. Byeong Park & Seuck Song, 2007. "Comments on: Panel data analysis—advantages and challenges," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 16(1), pages 47-51, May.
  4. Park, Byeong U. & Sickles, Robin C. & Simar, Leopold, 2007. "Semiparametric efficient estimation of dynamic panel data models," Journal of Econometrics, Elsevier, vol. 136(1), pages 281-301, January.
  5. Kutlu, Levent, 2012. "US banking efficiency, 1984–1995," Economics Letters, Elsevier, vol. 117(1), pages 53-56.
  6. Kutlu, Levent, 2010. "Battese-coelli estimator with endogenous regressors," Economics Letters, Elsevier, vol. 109(2), pages 79-81, November.
  7. Kortelainen, Mika, 2008. "Estimation of semiparametric stochastic frontiers under shape constraints with application to pollution generating technologies," MPRA Paper 9257, University Library of Munich, Germany.
  8. 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.
  9. Robin Sickles, 2007. "Comments on: Panel data analysis—advantages and challenges," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 16(1), pages 31-32, May.
  10. Kuosmanen, Timo, 2006. "Stochastic Nonparametric Envelopment of Data: Combining Virtues of SFA and DEA in a Unified Framework," Discussion Papers 11864, MTT Agrifood Research Finland.
  11. Kutlu, Levent, 2013. "Misspecification in allocative inefficiency: A simulation study," Economics Letters, Elsevier, vol. 118(1), pages 151-154.
  12. S. S. Rajan & K. L. N. Reddy & V. N. Pandit, 2011. "Efficiency And Productivity Growth In Indian Banking," Working papers 199, Centre for Development Economics, Delhi School of Economics.
  13. Krishna, Vijesh V. & Veettil, Prakashan C., 2014. "Productivity and efficiency impacts of conservation tillage in northwest Indo-Gangetic Plains," Agricultural Systems, Elsevier, vol. 127(C), pages 126-138.

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