Sensitivity analysis of efficiency rankings to distributional assumptions: applications to Japanese water utilities
This paper examines the robustness of efficiency score rankings across four distributional assumptions for trans-log stochastic production-frontier models, using data from 1,221 Japanese water utilities (for 2004 and 2005). One-sided error terms considered include the half-normal, truncated normal, exponential, and gamma distributions. Results are compared for homoscedastic and doubly heteroscedastic models, where we also introduce a doubly heteroscedastic variable mean model, and examine the sensitivity of the nested models to a stronger heteroscedasticity correction for the one-sided error component. The results support three conclusions regarding the sensitivity of efficiency rankings to distributional assumptions. When four standard distributional assumptions are applied to a homoscedastic stochastic frontier model, the efficiency rankings are quite consistent. When those assumptions are applied to a doubly heteroscedastic stochastic frontier model, the efficiency rankings are consistent when proper and sufficient arguments for the variance functions are included in the model. When a more general model, like a variable mean model is estimated, efficiency rankings are quite sensitive to heteroscedasticity correction schemes.
|Date of creation:||2011|
|Date of revision:|
|Contact details of provider:|| Postal: Ludwigstraße 33, D-80539 Munich, Germany|
Web page: https://mpra.ub.uni-muenchen.de
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Caudill, Steven B & Ford, Jon M & Gropper, Daniel M, 1995. "Frontier Estimation and Firm-Specific Inefficiency Measures in the Presence of Heteroscedasticity," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(1), pages 105-11, January.
- Kaddour Hadri & Cherif Guermat & Julie Whittaker, 2003. "Estimating Farm Efficiency in the Presence of Double Heteroscedasticity Using Panel Data," Journal of Applied Economics, Universidad del CEMA, vol. 0, pages 255-268, November.
- Wei Siang Wang & Peter Schmidt, 2007.
"On The Distribution of Estimated Technical Efficiency in Stochastic Frontier Models,"
CEPA Working Papers Series
WP022007, School of Economics, University of Queensland, Australia.
- 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.
- Haney, Aoife Brophy & Pollitt, Michael G., 2009.
"Efficiency analysis of energy networks: An international survey of regulators,"
Elsevier, vol. 37(12), pages 5814-5830, December.
- Brophy Haney, A. & Pollitt, M.G., 2009. "Efficiency Analysis of Energy Networks : An International Survey of Regulators," Cambridge Working Papers in Economics 0926, Faculty of Economics, University of Cambridge.
- Greene, William H., 1990. "A Gamma-distributed stochastic frontier model," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 141-163.
- Tim Coelli & Antonio Estache & Sergio Perelman & Lourdes Trujillo, 2003.
"A Primer on Efficiency Measurement for Utilities and Transport Regulators,"
World Bank Publications,
The World Bank, number 15149, April.
- Antonio Estache & Tim Coelli & Sergio Perelman & Lourdes Trujillo, 2003. "A Primer on Efficiency Measurement for Utilities and Transport Regulators," ULB Institutional Repository 2013/44106, ULB -- Universite Libre de Bruxelles.
- Willam Greene, 2005.
"Fixed and Random Effects in Stochastic Frontier Models,"
Journal of Productivity Analysis,
Springer, vol. 23(1), pages 7-32, 01.
- William Greene, 2002. "Fixed and Random Effects in Stochastic Frontier Models," Working Papers 02-16, New York University, Leonard N. Stern School of Business, Department of Economics.
- William Greene, 2003.
"Distinguishing Between Heterogeneity and Inefficiency: Stochastic Frontier Analysis of the World Health Organization’s Panel Data on National Health Care Systems,"
03-10, New York University, Leonard N. Stern School of Business, Department of Economics.
- William Greene, 2004. "Distinguishing between heterogeneity and inefficiency: stochastic frontier analysis of the World Health Organization's panel data on national health care systems," Health Economics, John Wiley & Sons, Ltd., vol. 13(10), pages 959-980.
- 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.
- Wang, Hung-jen & Schmidt, Peter, 2001.
"One-step and two-step estimation of the effects of exogenous variables on technical efficiency levels,"
31075, University Library of Munich, Germany, revised Mar 2002.
- Hung-jen Wang & Peter Schmidt, 2002. "One-Step and Two-Step Estimation of the Effects of Exogenous Variables on Technical Efficiency Levels," Journal of Productivity Analysis, Springer, vol. 18(2), pages 129-144, September.
- Antonio Alvarez & Christine Amsler & Luis Orea & Peter Schmidt, 2006.
"Interpreting and Testing the Scaling Property in Models where Inefficiency Depends on Firm Characteristics,"
Journal of Productivity Analysis,
Springer, vol. 25(3), pages 201-212, 06.
- Álvarez, Antonio & Amsler, Christine & Orea, Luis & Schmidt Peter, 2005. "Interpreting and Testing the Scaling Property in Models where Inefficiency Depends on Firm Characteristics," Efficiency Series Papers 2005/03, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
- Peter Schmidt & Antonio Alvarez & Christine Amsler, 2004. "Interpreting and testing the scaling property in models where inefficiency depends on firm characteristics," Econometric Society 2004 Far Eastern Meetings 520, Econometric Society.
- Kristof De Witte & Rui C. Marques, 2008. "Capturing the environment, a metafrontier approach to the drinking water sector," Working Papers Department of Economics ces0804, KU Leuven, Faculty of Economics and Business, Department of Economics.
- Hadri, Kaddour, 1999. "Estimation of a Doubly Heteroscedastic Stochastic Frontier Cost Function," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(3), pages 359-63, July.
When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:32892. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joachim Winter)
If references are entirely missing, you can add them using this form.