IDEAS home Printed from https://ideas.repec.org/a/kap/jproda/v54y2020i2d10.1007_s11123-020-00589-3.html
   My bibliography  Save this article

A semiparametric stochastic input distance frontier model with application to the Indonesian banking industry

Author

Listed:
  • Kai Sun

    (School of Economics, Shanghai University)

  • Ruhul Salim

    (School of Economics and Finance, Curtin University)

Abstract

This paper proposes a semiparametric smooth-varying coefficient input distance frontier model with multiple outputs and multiple inputs, panel data, and determinants of technical inefficiency for the Indonesian banking industry during the period 2000 to 2015. The technology parameters are unknown functions of a set of environmental factors that shift the input distance frontier non-neutrally. The computationally simple constraint weighted bootstrapping method is employed to impose the regularity constraints on the distance function. As a by-product, total factor productivity (TFP) growth is estimated and decomposed into technical change, scale component, and efficiency change. The distance elasticities, marginal effects of the environmental factors on the distance elasticities, temporal behavior of technical efficiency, and also TFP growth and its components are investigated.

Suggested Citation

  • Kai Sun & Ruhul Salim, 2020. "A semiparametric stochastic input distance frontier model with application to the Indonesian banking industry," Journal of Productivity Analysis, Springer, vol. 54(2), pages 139-156, December.
  • Handle: RePEc:kap:jproda:v:54:y:2020:i:2:d:10.1007_s11123-020-00589-3
    DOI: 10.1007/s11123-020-00589-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11123-020-00589-3
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11123-020-00589-3?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. Feng, Guohua & Serletis, Apostolos, 2010. "Efficiency, technical change, and returns to scale in large US banks: Panel data evidence from an output distance function satisfying theoretical regularity," Journal of Banking & Finance, Elsevier, vol. 34(1), pages 127-138, January.
    2. Podpiera, Jiri & Weill, Laurent, 2008. "Bad luck or bad management? Emerging banking market experience," Journal of Financial Stability, Elsevier, vol. 4(2), pages 135-148, June.
    3. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    4. Abhiman Das & Subal C. Kumbhakar, 2012. "Productivity and efficiency dynamics in Indian banking: An input distance function approach incorporating quality of inputs and outputs," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(2), pages 205-234, March.
    5. Bhaumik, Sumon Kumar & Das, Pranab Kumar & Kumbhakar, Subal C., 2012. "A stochastic frontier approach to modelling financial constraints in firms: An application to India," Journal of Banking & Finance, Elsevier, vol. 36(5), pages 1311-1319.
    6. Berger, Allen N. & Humphrey, David B., 1997. "Efficiency of financial institutions: International survey and directions for future research," European Journal of Operational Research, Elsevier, vol. 98(2), pages 175-212, April.
    7. Terrell, Dek, 1996. "Incorporating Monotonicity and Concavity Conditions in Flexible Functional Forms," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(2), pages 179-194, March-Apr.
    8. Kumbhakar, Subal C. & Wang, Hung-Jen, 2005. "Estimation of growth convergence using a stochastic production frontier approach," Economics Letters, Elsevier, vol. 88(3), pages 300-305, September.
    9. Berger, Allen N. & DeYoung, Robert, 1997. "Problem loans and cost efficiency in commercial banks," Journal of Banking & Finance, Elsevier, vol. 21(6), pages 849-870, June.
    10. O'Donnell, Christopher J. & Coelli, Timothy J., 2005. "A Bayesian approach to imposing curvature on distance functions," Journal of Econometrics, Elsevier, vol. 126(2), pages 493-523, June.
    11. 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.
    12. Heshmati, Almas & Kumbhakar, Subal C. & Sun, Kai, 2014. "Estimation of productivity in Korean electric power plants: A semiparametric smooth coefficient model," Energy Economics, Elsevier, vol. 45(C), pages 491-500.
    13. Sun, Kai & Kumbhakar, Subal C. & Tveterås, Ragnar, 2015. "Productivity and efficiency estimation: A semiparametric stochastic cost frontier approach," European Journal of Operational Research, Elsevier, vol. 245(1), pages 194-202.
    14. Cai, Zongwu & Fan, Jianqing & Yao, Qiwei, 2000. "Functional-coefficient regression models for nonlinear time series," LSE Research Online Documents on Economics 6314, London School of Economics and Political Science, LSE Library.
    15. Felisitas Defung & Ruhul Salim & Harry Bloch, 2016. "Has regulatory reform had any impact on bank efficiency in Indonesia? A two-stage analysis," Applied Economics, Taylor & Francis Journals, vol. 48(52), pages 5060-5074, November.
    16. Kumbhakar, Subal C. & Park, Byeong U. & Simar, Leopold & Tsionas, Efthymios G., 2007. "Nonparametric stochastic frontiers: A local maximum likelihood approach," Journal of Econometrics, Elsevier, vol. 137(1), pages 1-27, March.
    17. Sealey, Calvin W, Jr & Lindley, James T, 1977. "Inputs, Outputs, and a Theory of Production and Cost at Depository Financial Institutions," Journal of Finance, American Finance Association, vol. 32(4), pages 1251-1266, September.
    18. Hannan, Timothy H & Hanweck, Gerald A, 1988. "Bank Insolvency Risk and the Market for Large Certificates of Deposit," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 20(2), pages 203-211, May.
    19. Christopher J. O'Donnell & Alicia N. Rambaldi & Howard E. Doran, 2001. "Estimating economic relationships subject to firm- and time-varying equality and inequality constraints," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(6), pages 709-726.
    20. 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.
    21. Resti, Andrea, 1997. "Evaluating the cost-efficiency of the Italian Banking System: What can be learned from the joint application of parametric and non-parametric techniques," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 221-250, February.
    22. Servin, Roselia & Lensink, Robert & van den Berg, Marrit, 2012. "Ownership and technical efficiency of microfinance institutions: Empirical evidence from Latin America," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 2136-2144.
    23. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
    24. Li, Qi & Racine, Jeffrey S., 2010. "Smooth Varying-Coefficient Estimation And Inference For Qualitative And Quantitative Data," Econometric Theory, Cambridge University Press, vol. 26(6), pages 1607-1637, December.
    25. Kai Sun, 2015. "Constrained nonparametric estimation of input distance function," Journal of Productivity Analysis, Springer, vol. 43(1), pages 85-97, February.
    26. Sun, Kai & Kumbhakar, Subal C., 2013. "Semiparametric smooth-coefficient stochastic frontier model," Economics Letters, Elsevier, vol. 120(2), pages 305-309.
    27. Christopher Parmeter & Kai Sun & Daniel Henderson & Subal Kumbhakar, 2014. "Estimation and inference under economic restrictions," Journal of Productivity Analysis, Springer, vol. 41(1), pages 111-129, February.
    28. Feng Yao & Fan Zhang & Subal C. Kumbhakar, 2019. "Semiparametric Smooth Coefficient Stochastic Frontier Model With Panel Data," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(3), pages 556-572, July.
    29. Fries, Steven & Taci, Anita, 2005. "Cost efficiency of banks in transition: Evidence from 289 banks in 15 post-communist countries," Journal of Banking & Finance, Elsevier, vol. 29(1), pages 55-81, January.
    30. Sumon Kumar Bhaumik & Subal C. Kumbhakar & Kai Sun, 2015. "A note on a semiparametric approach to estimating financing constraints in firms," The European Journal of Finance, Taylor & Francis Journals, vol. 21(12), pages 992-1004, September.
    31. Fan, Yanqin & Li, Qi, 1996. "Consistent Model Specification Tests: Omitted Variables and Semiparametric Functional Forms," Econometrica, Econometric Society, vol. 64(4), pages 865-890, July.
    32. George Assaf, A. & Matousek, Roman & Tsionas, Efthymios G., 2013. "Turkish bank efficiency: Bayesian estimation with undesirable outputs," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 506-517.
    33. Geng, Xin & Sun, Kai, 2019. "Gradient estimation of the local-constant semiparametric smooth coefficient model," Economics Letters, Elsevier, vol. 185(C).
    34. Wang, Hung-Jen & Ho, Chia-Wen, 2010. "Estimating fixed-effect panel stochastic frontier models by model transformation," Journal of Econometrics, Elsevier, vol. 157(2), pages 286-296, August.
    35. Meeusen, Wim & van den Broeck, Julien, 1977. "Efficiency Estimation from Cobb-Douglas Production Functions with Composed Error," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 435-444, June.
    36. Altunbas, Yener & Liu, Ming-Hau & Molyneux, Philip & Seth, Rama, 2000. "Efficiency and risk in Japanese banking," Journal of Banking & Finance, Elsevier, vol. 24(10), pages 1605-1628, October.
    37. Kumbhakar, Subal C., 2013. "Specification and estimation of multiple output technologies: A primal approach," European Journal of Operational Research, Elsevier, vol. 231(2), pages 465-473.
    38. Subal Kumbhakar & Kai Sun, 2012. "Estimation of TFP growth: a semiparametric smooth coefficient approach," Empirical Economics, Springer, vol. 43(1), pages 1-24, August.
    39. Park, Kang H. & Weber, William L., 2006. "A note on efficiency and productivity growth in the Korean Banking Industry, 1992-2002," Journal of Banking & Finance, Elsevier, vol. 30(8), pages 2371-2386, August.
    40. Hakan Gunes & Dilem Yildirim, 2016. "Estimating cost efficiency of Turkish commercial banks under unobserved heterogeneity with stochastic frontier models," Central Bank Review, Research and Monetary Policy Department, Central Bank of the Republic of Turkey, vol. 16(4), pages 127-136.
    41. Fofack, Hippolyte L., 2005. "Nonperforming loans in Sub-Saharan Africa : causal analysis and macroeconomic implications," Policy Research Working Paper Series 3769, The World Bank.
    42. Mester, Loretta J., 1996. "A study of bank efficiency taking into account risk-preferences," Journal of Banking & Finance, Elsevier, vol. 20(6), pages 1025-1045, July.
    43. Li, Qi, et al, 2002. "Semiparametric Smooth Coefficient Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 412-422, July.
    44. Esho, Neil, 2001. "The determinants of cost efficiency in cooperative financial institutions: Australian evidence," Journal of Banking & Finance, Elsevier, vol. 25(5), pages 941-964, May.
    45. Hakan Güneş & Dilem Yıldırım, 2016. "Estimating Cost Efficiency of Turkish Commercial Banks under Unobserved Heterogeneity with Stochastic Frontier Models," ERC Working Papers 1603, ERC - Economic Research Center, Middle East Technical University, revised Mar 2016.
    46. Stevenson, Rodney, 1980. "Measuring Technological Bias," American Economic Review, American Economic Association, vol. 70(1), pages 162-173, March.
    47. Aigner, Dennis & Lovell, C. A. Knox & Schmidt, Peter, 1977. "Formulation and estimation of stochastic frontier production function models," Journal of Econometrics, Elsevier, vol. 6(1), pages 21-37, July.
    48. Muliaman D. Hadad & Maximilian J. B. Hall & Wimboh Santoso & Ricky Satria & Karligash Kenjegalieva & Richard Simper, 2008. "Efficiency in Indonesian Banking: Recent Evidence," Discussion Paper Series 2008_13, Department of Economics, Loughborough University, revised Nov 2008.
    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. Aliya Alimhanova & Andrey Vazhdaev & Artur Mitsel & Anatoly Sidorov, 2022. "Dynamic Model of Enterprise Revenue Management Based on the SFA Model," Mathematics, MDPI, vol. 11(1), pages 1-13, December.

    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. Sarmiento, Miguel & Galán, Jorge E., 2014. "Heterogeneous effects of risk-taking on bank efficiency : a stochastic frontier model with random coefficients," DES - Working Papers. Statistics and Econometrics. WS ws142013, Universidad Carlos III de Madrid. Departamento de Estadística.
    2. Manlagñit, Maria Chelo V., 2011. "Cost efficiency, determinants, and risk preferences in banking: A case of stochastic frontier analysis in the Philippines," Journal of Asian Economics, Elsevier, vol. 22(1), pages 23-35, February.
    3. Baležentis, Tomas & Sun, Kai, 2020. "Measurement of technical inefficiency and total factor productivity growth: A semiparametric stochastic input distance frontier approach and the case of Lithuanian dairy farms," European Journal of Operational Research, Elsevier, vol. 285(3), pages 1174-1188.
    4. Sun, Kai & Kumbhakar, Subal C. & Tveterås, Ragnar, 2015. "Productivity and efficiency estimation: A semiparametric stochastic cost frontier approach," European Journal of Operational Research, Elsevier, vol. 245(1), pages 194-202.
    5. George Assaf, A. & Matousek, Roman & Tsionas, Efthymios G., 2013. "Turkish bank efficiency: Bayesian estimation with undesirable outputs," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 506-517.
    6. 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.
    7. Tai-Hsin Huang & Yi-Huang Chiu & Chih-Ying Mao, 2021. "Imposing Regularity Conditions to Measure Banks’ Productivity Changes in Taiwan Using a Stochastic Approach," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 28(2), pages 273-303, June.
    8. Manlagnit, Maria Chelo V., 2015. "Basel regulations and banks’ efficiency: The case of the Philippines," Journal of Asian Economics, Elsevier, vol. 39(C), pages 72-85.
    9. Sarmiento, Miguel & Galán, Jorge E., 2017. "The influence of risk-taking on bank efficiency: Evidence from Colombia," Emerging Markets Review, Elsevier, vol. 32(C), pages 52-73.
    10. Hakan Güneş & Dilem Yıldırım, 2016. "Estimating Cost Efficiency of Turkish Commercial Banks under Unobserved Heterogeneity with Stochastic Frontier Models," ERC Working Papers 1603, ERC - Economic Research Center, Middle East Technical University, revised Mar 2016.
    11. Fukuyama, Hirofumi & Matousek, Roman, 2017. "Modelling bank performance: A network DEA approach," European Journal of Operational Research, Elsevier, vol. 259(2), pages 721-732.
    12. Mamatzakis, Emmanuel & Matousek, Roman & Vu, Anh Nguyet, 2016. "What is the impact of bankrupt and restructured loans on Japanese bank efficiency?," Journal of Banking & Finance, Elsevier, vol. 72(S), pages 187-202.
    13. Ather Hassan Dar & Somesh Kumar Mathur & Sila Mishra, 2021. "The Efficiency of Indian Banks: A DEA, Malmquist and SFA Analysis with Bad Output," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 19(4), pages 653-701, December.
    14. Goddard, John & Molyneux, Philip & Williams, Jonathan, 2014. "Dealing with cross-firm heterogeneity in bank efficiency estimates: Some evidence from Latin America," Journal of Banking & Finance, Elsevier, vol. 40(C), pages 130-142.
    15. Vaneet Bhatia & Sankarshan Basu & Subrata Kumar Mitra & Pradyumna Dash, 2018. "A review of bank efficiency and productivity," OPSEARCH, Springer;Operational Research Society of India, vol. 55(3), pages 557-600, November.
    16. Mai, Nhat Chi, 2015. "Efficiency of the banking system in Vietnam under financial liberalization," OSF Preprints qsf6d, Center for Open Science.
    17. Alireza Tamadonnejad & Aisyah Abdul-Rahman & Mariani Abdul-Majid & Mansor Jusoh, 2017. "The evaluation of East Asian banks by considering economic and political conditions as well as country risk," International Economics and Economic Policy, Springer, vol. 14(1), pages 27-41, January.
    18. Koutsomanoli-Filippaki, Anastasia I. & Mamatzakis, Emmanuel C., 2011. "Efficiency under quantile regression: What is the relationship with risk in the EU banking industry?," Review of Financial Economics, Elsevier, vol. 20(2), pages 84-95, May.
    19. Chen, Ku-Hsieh, 2012. "Incorporating risk input into the analysis of bank productivity: Application to the Taiwanese banking industry," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 1911-1927.
    20. Белоусова В. Ю., 2009. "Эффективность Издержек Однородных Российских Коммерческих Банков: Обзор Проблемы И Новые Результаты," Higher School of Economics Economic Journal Экономический журнал Высшей школы экономики, CyberLeninka;Федеральное государственное автономное образовательное учреждение высшего образования «Национальный исследовательский университет «Высшая школа экономики», vol. 13(4), pages 489-519.

    More about this item

    Keywords

    D24; G21;

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

    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:kap:jproda:v:54:y:2020:i:2:d:10.1007_s11123-020-00589-3. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.