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Interpreting and Testing the Scaling Property in Models where Inefficiency Depends on Firm Characteristics

  • Antonio Alvarez

    ()

  • Christine Amsler

    ()

  • Luis Orea

    ()

  • Peter Schmidt

    ()

Let u ≥ 0 be technical inefficiency, let z be a set of variables that affect u, and let δ be the parameters of this relationship. The model satisfies the scaling property if u(z, δ) can be written as a scaling function h(z, δ) times a random variable u* that does not depend on z. This property implies that changes in z affect the scale but not the shape of u(z,δ). This paper reviews the existing literature and identifies models that do and do not have the scaling property. It also discusses practical advantages of the scaling property. The paper shows how to test the hypothesis of scaling, and other interesting hypotheses, in the context of the model of Wang, Journal of Productivity Analysis, 2002. Finally, two empirical examples are given. Copyright Springer Science+Business Media, LLC 2006

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File URL: http://hdl.handle.net/10.1007/s11123-006-7639-3
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Article provided by Springer in its journal Journal of Productivity Analysis.

Volume (Year): 25 (2006)
Issue (Month): 3 (06)
Pages: 201-212

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Handle: RePEc:kap:jproda:v:25:y:2006:i:3:p:201-212
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  1. Han, Chirok & Orea, Luis & Schmidt, Peter, 2005. "Estimation of a panel data model with parametric temporal variation in individual effects," Journal of Econometrics, Elsevier, vol. 126(2), pages 241-267, June.
  2. Wang, Hung-Jen, 2002. "Heteroscedasticity and non-monotonic efficiency effects of a stochastic frontier model," MPRA Paper 31076, University Library of Munich, Germany.
  3. Wang, Hung-jen & Schmidt, Peter, 2001. "One-step and two-step estimation of the effects of exogenous variables on technical efficiency levels," MPRA Paper 31075, University Library of Munich, Germany, revised Mar 2002.
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  8. Caudill, Steven B. & Ford, Jon M., 1993. "Biases in frontier estimation due to heteroscedasticity," Economics Letters, Elsevier, vol. 41(1), pages 17-20.
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  10. Cuesta, Rafael A. & Orea, Luis, 2002. "Mergers and technical efficiency in Spanish savings banks: A stochastic distance function approach," Journal of Banking & Finance, Elsevier, vol. 26(12), pages 2231-2247.
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