IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v151y2017icp111-114.html
   My bibliography  Save this article

The profit function system with output- and input-specific technical efficiency

Author

Listed:
  • Tsionas, Mike G.

Abstract

In a recent paper Kumbhakar and Lai (2016) proposed an output-oriented non-radial measure of technical inefficiency derived from the revenue function. They proposed a closed skew-normal distribution for maximum likelihood estimation but they did not apply the model to data and their technique depends on multiple evaluations of multivariate normal integrals for each observation which can be very costly. In this paper we extend their approach to the profit function and we propose both input- and output-oriented non-radial measures of technical inefficiencies. Although the extension to the translog profit function is trivial many observations, in practice, may contain negative profits. For this reason we provide a nontrivial extension to the Symmetric Generalized McFadden (SGM) profit function. We propose and apply (to a large sample of US banks) Bayesian analysis of the SGM model (augmented with latent technical inefficiencies resulting in a highly nonlinear mixed effects model) using the integrated nested Laplace approximation.

Suggested Citation

  • Tsionas, Mike G., 2017. "The profit function system with output- and input-specific technical efficiency," Economics Letters, Elsevier, vol. 151(C), pages 111-114.
    • Handle: RePEc:eee:ecolet:v:151:y:2017:i:c:p:111-114
    DOI: 10.1016/j.econlet.2016.12.020
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176516305298
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2016.12.020?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Berger, Allen N. & Mester, Loretta J., 2003. "Explaining the dramatic changes in performance of US banks: technological change, deregulation, and dynamic changes in competition," Journal of Financial Intermediation, Elsevier, vol. 12(1), pages 57-95, January.
    2. Berger, Allen N. & Mester, Loretta J., 1997. "Inside the black box: What explains differences in the efficiencies of financial institutions?," Journal of Banking & Finance, Elsevier, vol. 21(7), pages 895-947, July.
    3. Joseph P. Hughes & Loretta J. Mester, 1998. "Bank Capitalization And Cost: Evidence Of Scale Economies In Risk Management And Signaling," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 314-325, May.
    4. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    5. Håvard Rue & Sara Martino & Nicolas Chopin, 2009. "Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 71(2), pages 319-392, April.
    6. Guohua Feng & Apostolos Serletis, 2009. "Efficiency and productivity of the US banking industry, 1998-2005: evidence from the Fourier cost function satisfying global regularity conditions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(1), pages 105-138.
    7. Michael Koetter & James W. Kolari & Laura Spierdijk, 2012. "Enjoying the Quiet Life under Deregulation? Evidence from Adjusted Lerner Indices for U.S. Banks," The Review of Economics and Statistics, MIT Press, vol. 94(2), pages 462-480, May.
    8. Kumbhakar, Subal C. & Lai, Hung-pin, 2016. "Maximum likelihood estimation of the revenue function system with output-specific technical efficiency," Economics Letters, Elsevier, vol. 138(C), pages 42-45.
    9. Kumbhakar, Subal C. & Tsionas, Efthymios G., 2005. "Measuring technical and allocative inefficiency in the translog cost system: a Bayesian approach," Journal of Econometrics, Elsevier, vol. 126(2), pages 355-384, June.
    10. Emir Malikov & Subal C. Kumbhakar & Mike G. Tsionas, 2016. "A Cost System Approach to the Stochastic Directional Technology Distance Function with Undesirable Outputs: The Case of us Banks in 2001–2010," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(7), pages 1407-1429, November.
    11. Diego Restrepo‐Tobón & Subal C. Kumbhakar, 2014. "Enjoying The Quiet Life Under Deregulation? Not Quite," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(2), pages 333-343, March.
    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. Yu, Yang & Fan, Linlin, 2021. "How Does Supplemental Nutrition Assistance Program Affect Household Food Waste?," 2021 Annual Meeting, August 1-3, Austin, Texas 313984, Agricultural and Applied Economics Association.

    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. Tsionas, Mike G. & Andrikopoulos, Athanasios, 2020. "On a High-Dimensional Model Representation method based on Copulas," European Journal of Operational Research, Elsevier, vol. 284(3), pages 967-979.
    2. Mike G. Tsionas, 2017. "“When, Where, and How” of Efficiency Estimation: Improved Procedures for Stochastic Frontier Modeling," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(519), pages 948-965, July.
    3. Tsionas, Efthymios G. & Malikov, Emir & Kumbhakar, Subal C., 2018. "An internally consistent approach to the estimation of market power and cost efficiency with an application to U.S. banking," European Journal of Operational Research, Elsevier, vol. 270(2), pages 747-760.
    4. Levent Kutlu & Shasha Liu & Robin C. Sickles, 2022. "Cost, Revenue, and Profit Function Estimates," Springer Books, in: Subhash C. Ray & Robert G. Chambers & Subal C. Kumbhakar (ed.), Handbook of Production Economics, chapter 16, pages 641-679, Springer.
    5. Tsionas, Mike G. & Izzeldin, Marwan, 2018. "Smooth approximations to monotone concave functions in production analysis: An alternative to nonparametric concave least squares," European Journal of Operational Research, Elsevier, vol. 271(3), pages 797-807.
    6. El Moussawi, Chawki & Mansour, Rana, 2022. "Competition, cost efficiency and stability of banks in the MENA region," The Quarterly Review of Economics and Finance, Elsevier, vol. 84(C), pages 143-170.
    7. Emir Malikov & Subal C. Kumbhakar & Mike G. Tsionas, 2016. "A Cost System Approach to the Stochastic Directional Technology Distance Function with Undesirable Outputs: The Case of us Banks in 2001–2010," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(7), pages 1407-1429, November.
    8. Emir Malikov & Diego Restrepo-Tobón & Subal Kumbhakar, 2015. "Estimation of banking technology under credit uncertainty," Empirical Economics, Springer, vol. 49(1), pages 185-211, August.
    9. Tsionas, Mike G., 2024. "A generalized inefficiency model with input and output dependence," European Journal of Operational Research, Elsevier, vol. 312(1), pages 315-323.
    10. Tsionas, Mike G., 2023. "Minimax regret priors for efficiency estimation," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1279-1285.
    11. Diego Restrepo-Tobón & Subal Kumbhakar & Kai Sun, 2015. "Obelix vs. Asterix: Size of US commercial banks and its regulatory challenge," Journal of Regulatory Economics, Springer, vol. 48(2), pages 125-168, October.
    12. Diego A. Restrepo-Tobón & Subal C. Kumbhakar, 2013. "Profit efficiency of U.S. commercial banks: a decomposition," Documentos de Trabajo CIEF 10939, Universidad EAFIT.
    13. Schure, Paul & Wagenvoort, Rien & O'Brien, Dermot, 2004. "The efficiency and the conduct of European banks: Developments after 1992," Review of Financial Economics, Elsevier, vol. 13(4), pages 371-396.
    14. Yongseung Han & Myeong Hwan Kim & Won-Joong Kim, 2012. "Determinants of profit efficiency: evidence from Korean savings banks," Applied Financial Economics, Taylor & Francis Journals, vol. 22(12), pages 1003-1016, June.
    15. Matabaro Borauzima, Luc & Muller, Aline, 2023. "Bank risk-taking and competition in developing banking markets: Does efficiency level matter? Evidence from Africa," Emerging Markets Review, Elsevier, vol. 55(C).
    16. Sufian, Fadzlan & Abdul Majid, Muhamed Zulkhibri, 2007. "Bank Ownership, Characteristics and Performance: A Comparative Analysis of Domestic and Foreign Islamic Banks in Malaysia," MPRA Paper 12131, University Library of Munich, Germany, revised 01 Jun 2007.
    17. Michael L. Polemis & Mike G. Tsionas, 2022. "Endogenous productivity: a new Bayesian perspective," Annals of Operations Research, Springer, vol. 318(1), pages 425-451, November.
    18. Zhang, Jingfang & Malikov, Emir, 2022. "Off-balance sheet activities and scope economies in U.S. banking," Journal of Banking & Finance, Elsevier, vol. 141(C).
    19. Loretta J. Mester, 2005. "Optimal industrial structure in banking," Working Papers 08-2, Federal Reserve Bank of Philadelphia.
    20. Besstremyannaya, Galina, 2017. "Heterogeneous effect of the global financial crisis and the Great East Japan Earthquake on costs of Japanese banks," Journal of Empirical Finance, Elsevier, vol. 42(C), pages 66-89.

    More about this item

    Keywords

    Profit function; Non-radial technical inefficiency; Symmetric Generalized McFadden form; Integrated nested Laplace approximation; Bayesian analysis;
    All these keywords.

    JEL classification:

    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • D22 - Microeconomics - - Production and Organizations - - - Firm Behavior: Empirical Analysis

    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:eee:ecolet:v:151:y:2017:i:c:p:111-114. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    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.