IDEAS home Printed from https://ideas.repec.org/a/erh/journl/v13y2021i2p24-40.html

Panel Stochastic Frontier Analysis with Dependent Error Terms

Author

Listed:
  • Rachida El Mehdi
  • Christian M. Hafner

Abstract

In presence of panel data, technical efficiency is used to compare the performances of Decision Making Units (DMUs). The novelty of this paper is the consideration of the dependence between the two error terms in the case of panel data and the introduction of time effect models in the Stochastic Frontier Analysis (SFA). Hence, our SFA model considers the balanced panel case, several models describing the evolution of the inefficiency over time and the dependence between the two error terms. The inefficiency and noise terms being dependent, a copula function which reflects the dependence between them is included in their joint density. The model is estimated by maximum likelihood and theAkaike Information Criterion (AIC) is used for model selection. Moreover, a likelihood ratio test is performed for the nested models. A bootstrap algorithm is proposed for statistical inference on the Technical Efficiency (T E) measures. Results for Moroccan policy of the production and sales of drinking water from 2001 to 2007 identifies the most and least efficient provinces, and a generally positive trend of estimated TE measures.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Rachida El Mehdi & Christian M. Hafner, 2021. "Panel Stochastic Frontier Analysis with Dependent Error Terms," International Econometric Review (IER), Economic Research Association, vol. 13(2), pages 24-40, June.
  • Handle: RePEc:erh:journl:v:13:y:2021:i:2:p:24-40
    as

    Download full text from publisher

    File URL: https://dergipark.org.tr/tr/download/article-file/2120248
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bhat, Chandra R. & Eluru, Naveen, 2009. "A copula-based approach to accommodate residential self-selection effects in travel behavior modeling," Transportation Research Part B: Methodological, Elsevier, vol. 43(7), pages 749-765, August.
    2. Murray D. Smith, 2008. "Stochastic frontier models with dependent error components," Econometrics Journal, Royal Economic Society, vol. 11(1), pages 172-192, March.
    3. 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.
    4. Kumbhakar, Subal C., 1990. "Production frontiers, panel data, and time-varying technical inefficiency," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 201-211.
    5. A. Ronald Gallant, 1984. "The Fourier Flexible Form," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 66(2), pages 204-208.
    6. Tupper, Henrique Cesar & Resende, Marcelo, 2004. "Efficiency and regulatory issues in the Brazilian water and sewage sector: an empirical study," Utilities Policy, Elsevier, vol. 12(1), pages 29-40, March.
    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. Leopold Simar & Paul Wilson, 2010. "Inferences from Cross-Sectional, Stochastic Frontier Models," Econometric Reviews, Taylor & Francis Journals, vol. 29(1), pages 62-98.
    9. Schmidt, Peter & Sickles, Robin C, 1984. "Production Frontiers and Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(4), pages 367-374, October.
    10. Sangho Kim & Young Hoon Lee, 2006. "The productivity debate of East Asia revisited: a stochastic frontier approach," Applied Economics, Taylor & Francis Journals, vol. 38(14), pages 1697-1706.
    11. Tito Belchior Moreira & Geraldo da Silva Souza & Ricardo Coelho Faria, 2005. "Public Versus Private Water Utilities: Empirical Evidence for Brazilian Companies," Economics Bulletin, AccessEcon, vol. 8(2), pages 1-7.
    12. repec:ebl:ecbull:v:8:y:2005:i:2:p:1-7 is not listed on IDEAS
    13. Battese, G E & Coelli, T J, 1995. "A Model for Technical Inefficiency Effects in a Stochastic Frontier Production Function for Panel Data," Empirical Economics, Springer, vol. 20(2), pages 325-332.
    14. Battese, George E. & Coelli, Tim J. & Colby, T.C., 1989. "Estimation of Frontier Production Functions and the Efficiencies of Indian Farms Using Panel Data from ICRISAT's Village Level Studies," 1989 Conference (33rd), February 7-9, 1989, Christchurch, New Zealand 144383, Australian Agricultural and Resource Economics Society.
    15. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Rachida El Mehdi & Christian M. Hafner, 2025. "Panel Stochastic Frontier Analysis with Positive Skewness," Computational Economics, Springer;Society for Computational Economics, vol. 65(5), pages 2743-2760, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tim J. Coelli, 1995. "Recent Developments In Frontier Modelling And Efficiency Measurement," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 39(3), pages 219-245, December.
    2. Farsi, Mehdi & Filippini, Massimo, 2009. "An analysis of cost efficiency in Swiss multi-utilities," Energy Economics, Elsevier, vol. 31(2), pages 306-315, March.
    3. Federico Belotti & Giuseppe Ilardi & Andrea Piano Mortari, 2019. "Estimation of Stochastic Frontier Panel Data Models with Spatial Inefficiency," CEIS Research Paper 459, Tor Vergata University, CEIS, revised 30 May 2019.
    4. Ubay Pérez-Granja & Federico Inchausti-Sintes, 2023. "On the analysis of efficiency in the hotel sector: Does tourism specialization matter?," Tourism Economics, , vol. 29(1), pages 92-115, February.
    5. Gralka, Sabine, 2018. "Stochastic frontier analysis in higher education: A systematic review," CEPIE Working Papers 05/18, Technische Universität Dresden, Center of Public and International Economics (CEPIE).
    6. Paul, Satya & Shankar, Sriram, 2018. "Modelling Efficiency Effects in a True Fixed Effects Stochastic Frontier," MPRA Paper 87437, University Library of Munich, Germany.
    7. Satya Paul & Sriram Shankar, 2020. "Estimating efficiency effects in a panel data stochastic frontier model," Journal of Productivity Analysis, Springer, vol. 53(2), pages 163-180, April.
    8. Belotti, Federico & Ilardi, Giuseppe, 2018. "Consistent inference in fixed-effects stochastic frontier models," Journal of Econometrics, Elsevier, vol. 202(2), pages 161-177.
    9. William Horrace & Seth Richards-Shubik & Ian Wright, 2015. "Expected efficiency ranks from parametric stochastic frontier models," Empirical Economics, Springer, vol. 48(2), pages 829-848, March.
    10. Mamonov Mikhail E. & Parmeter Christopher F. & Prokhorov Artem B., 2022. "Dependence modeling in stochastic frontier analysis," Dependence Modeling, De Gruyter, vol. 10(1), pages 123-144, January.
    11. Quang Nguyen & Sean Pascoe & Louisa Coglan & Son Nghiem, 2021. "The sensitivity of efficiency scores to input and other choices in stochastic frontier analysis: an empirical investigation," Journal of Productivity Analysis, Springer, vol. 55(1), pages 31-40, February.
    12. Martín Rossi, 2015. "The Econometrics Approach to the Measurement of Efficiency: A Survey," Working Papers 117, Universidad de San Andres, Departamento de Economia, revised Feb 2015.
    13. Anbes Tenaye, 2020. "Technical Efficiency of Smallholder Agriculture in Developing Countries: The Case of Ethiopia," Economies, MDPI, vol. 8(2), pages 1-27, April.
    14. 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.
    15. Jyotsna Rosario & K.R. Shanmugam, 2024. "Elementary Education Outcome Efficiency of Indian States: A Ray Frontier Approach," Working Papers 2024-264, Madras School of Economics,Chennai,India.
    16. Ali M. Oumer & Amin Mugera & Michael Burton & Atakelty Hailu, 2022. "Technical efficiency and firm heterogeneity in stochastic frontier models: application to smallholder maize farms in Ethiopia," Journal of Productivity Analysis, Springer, vol. 57(2), pages 213-241, April.
    17. Peter Dawson & Stephen Dobson & Bill Gerrard, 2000. "Estimating Coaching Efficiency in Professional Team Sports: Evidence from English Association Football," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(4), pages 399-421, September.
    18. Jean-François Brun & Maïmouna Diakite, 2016. "Tax Potential and Tax Effort: An Empirical Estimation for Non-resource Tax Revenue and VAT’s Revenue," Working Papers halshs-01332053, HAL.
    19. Roberto Colombi & Subal Kumbhakar & Gianmaria Martini & Giorgio Vittadini, 2014. "Closed-skew normality in stochastic frontiers with individual effects and long/short-run efficiency," Journal of Productivity Analysis, Springer, vol. 42(2), pages 123-136, October.
    20. Sangho Kim & Donghyun Park & Jong-Ho Park, 2009. "Productivity Growth in Different Firm Sizes in the Malaysian Manufacturing Sector: An Empirical Investigation," ADB Economics Working Paper Series 176, Asian Development Bank.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:erh:journl:v:13:y:2021:i:2:p:24-40. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Admin (email available below). General contact details of provider: https://edirc.repec.org/data/eratrtr.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.