Skip to main content
Log in

A Monte Carlo Study on the Finite Sample Properties of the Gibbs Sampling Method for a Stochastic Frontier Model

  • Published:
Journal of Productivity Analysis Aims and scope Submit manuscript

Abstract

In this paper we use Monte Carlo study to investigate the finite sample properties of the Bayesian estimator obtained by the Gibbs sampler and its classical counterpart (i.e. the MLE) for a stochastic frontier model. Our Monte Carlo results show that the MSE performance of the estimates of Gibbs sampling are substantially better than that of the MLE.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Aigner, D. J., C. A. K. Lovell, and P. Schmidt. (1977). "Formulation and Estimation of Stochastic Frontier Production Function Models." Journal of Econometrics 6, 21-37.

    Google Scholar 

  • van den Broeck, J., G. Koop, J. Osiewalski, and M. F. J. Steel. (1994). "Stochastic Frontier Models." Journal of Econometrics 61, 273-303.

    Google Scholar 

  • Chib, S. and E. Greenberg. (1995). "Markov Chain Monte Carlo Simulation Methods in Econometrics." Unpublished Manuscript.

  • Coelli, T. J. (1995). "Estimators and Hypothesis Tests for a Stochastic Frontier Function: AMonte Carlo Analysis." Journal of the Productivity Analysis 6, 247-268.

    Google Scholar 

  • Ferreira, P. E. (1975). "A Bayesian Analysis of a Switching Regression Model: Known Number of Regimes." Journal of the American Statistical Association 70, 370-374.

    Google Scholar 

  • Gelfand, A. E. and A. F. M. Smith. (1990). "Sampling Based Approaches to Calculating Marginal Densities." Journal of the American Statistical Association 85, 398-409.

    Google Scholar 

  • Gelfand, A. E., S. I. Hills, A. Racine-Poon, and A. F. M. Smith. (1990). "Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling." Journal of the American Statistical Association 85, 972-985.

    Google Scholar 

  • Geweke, J. (1991). "Efficient Simulation from the Multivariate Normal and Student-t Distributions Subject to Linear Constraints." In E. M. Keramidas and S. M. Kaufman (eds.), Computing Science and Statistics: Proceedings of the 23rd Symposium on the Interface. Interface Foundation of North America.

  • Greene, W. H. (1990). "A Gamma-Distributed Stochastic Frontier Model." Journal of Econometrics 46, 141-163.

    Google Scholar 

  • Huang, C. J. (1984). "Estimation of Stochastic Frontier Production Function and Technical Inefficiency via the EM Algorithm." Southern Economic Journal 50, 847-856.

    Google Scholar 

  • Jondrow, J., C. A. K. Lovell, I. S. Materov, and P. Schmidt. (1982). "On the Estimation of Technical Inefficiency in the Stochastic Frontier Production Function Model." Journal of Econometrics 19, 233-238.

    Google Scholar 

  • Judge, G.,W. Griffiths, R. Carter-Hill, H. Lutkepohl, and T. Lee. (1985). The Theory and Practice of Econometrics. Second Edition, New York: Wiley.

    Google Scholar 

  • Kennedy, P. and D. Simons. (1991). "Fighting the Teflon Factor: Comparing Classical and Bayesian Estimators for Autocorrelated Errors." Journal of Econometrics 48, 15-27.

    Google Scholar 

  • Koop, J., J. Osiewalski, and M. F. J. Steel. (1997). "Bayesian Efficiency Analysis Through Individual Effects: Hospital Cost Frontiers." Journal of Econometrics 76, 77-105.

    Google Scholar 

  • Meeusen, W. and J. van den Broeck. (1977). "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error." International Economic Review 18, 435-444.

    Google Scholar 

  • Olsen, J. A., P. Schmidt, and D. M. Waldman. (1980). "A Monte Carlo Study of Estimators of the Stochastic Frontier Production Function." Journal of Econometrics 13, 67-82.

    Google Scholar 

  • Osiewalski, J. and M. F. J. Steel. (1998). "Numerical Tools for the Bayesian Analysis of Stochastic Frontier Models." Journal of Productivity Analysis 10, 103-117.

    Google Scholar 

  • Stevenson, R. E. (1980). "Likelihood Functions for Generalized Stochastic Frontier Estimation." Journal of Econometrics 13, 57-66.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhang, X. A Monte Carlo Study on the Finite Sample Properties of the Gibbs Sampling Method for a Stochastic Frontier Model. Journal of Productivity Analysis 14, 71–83 (2000). https://doi.org/10.1023/A:1007895912705

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007895912705

Navigation