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The choice of functional form and estimation of banking inefficiency

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  • Suzhen Zhu
  • Paul Ellinger
  • C. Richard Shumway

Abstract

The effects of alternative functional forms on parametric estimation of a multi-product cost function are examined using a sample of rural US banks. Functional forms considered for possible choice are three versions of second-order Taylor-series expansions (or locally-flexible functional forms-translog, normalized quadratic, and generalized Leontief. The generalized quadratic Box-Cox transformation and the likelihood dominance criterion are used as vehicles for conducting nested and non-nested tests. Although all three forms are rejected by the nested test, the likelihood dominance criterion indicates that the translog is clearly preferred over the other two as the functional form of choice. Using either of the other functional forms would substantially alter conclusions about both scale elasticities and inefficiencies, including the impact of bank size on these measures.

Suggested Citation

  • Suzhen Zhu & Paul Ellinger & C. Richard Shumway, 1995. "The choice of functional form and estimation of banking inefficiency," Applied Economics Letters, Taylor & Francis Journals, vol. 2(10), pages 375-379.
    • Handle: RePEc:taf:apeclt:v:2:y:1995:i:10:p:375-379
    DOI: 10.1080/758518993
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    References listed on IDEAS

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    1. Berger, Allen N. & Hancock, Diana & Humphrey, David B., 1993. "Bank efficiency derived from the profit function," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 317-347, April.
    2. 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.
    3. Douglas D. Evanoff & Philip R. Israilevich, 1991. "Productive efficiency in banking," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 15(Jul), pages 11-32.
    4. Pollak, Robert A. & Wales, Terence J., 1991. "The likelihood dominance criterion : A new approach to model selection," Journal of Econometrics, Elsevier, vol. 47(2-3), pages 227-242, February.
    5. Appelbaum, Elie, 1979. "On the Choice of Functional Forms," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 20(2), pages 449-458, June.
    6. McAllister, Patrick H. & McManus, Douglas, 1993. "Resolving the scale efficiency puzzle in banking," Journal of Banking & Finance, Elsevier, vol. 17(2-3), pages 389-405, April.
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    Cited by:

    1. Monchuk, Daniel C. & Chen, Zhuo & Bonaparte, Yosef, 2010. "Explaining production inefficiency in China's agriculture using data envelopment analysis and semi-parametric bootstrapping," China Economic Review, Elsevier, vol. 21(2), pages 346-354, June.
    2. Konstantinos Giannakas & Kien Tran & Vangelis Tzouvelekas, 2003. "Predicting technical effciency in stochastic production frontier models in the presence of misspecification: a Monte-Carlo analysis," Applied Economics, Taylor & Francis Journals, vol. 35(2), pages 153-161.
    3. Konstantinos Giannakas & K. Tran & Vangelis Tzouvelekas, 1999. "On the Choice of Functional Form in Stochastic Frontiers Models: A Box-Cox Approach," Working Papers 9915, University of Crete, Department of Economics.

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