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Stochastic frontier models using the Generalized Exponential distribution

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  • Alecos Papadopoulos

    (Athens University of Economics and Business)

Abstract

We present a new, single-parameter distributional specification for the one-sided error components in single-tier and two-tier stochastic frontier models. The distribution has its mode away from zero, and can represent cases where the most likely outcome is non-zero inefficiency. We present the necessary formulas for estimating production, cost and two-tier stochastic frontier models in logarithmic form. We pay particular attention to the use of the conditional mode as a predictor of individual inefficiency. We use simulations to assess the performance of existing models when the data include an inefficiency term with non-zero mode, and we also contrast the conditional mode to the conditional expectation as measures of individual (in)efficiency.

Suggested Citation

  • Alecos Papadopoulos, 2021. "Stochastic frontier models using the Generalized Exponential distribution," Journal of Productivity Analysis, Springer, vol. 55(1), pages 15-29, February.
    • Handle: RePEc:kap:jproda:v:55:y:2021:i:1:d:10.1007_s11123-020-00591-9
    DOI: 10.1007/s11123-020-00591-9
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    References listed on IDEAS

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    Cited by:

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    2. Misgan Desale Nigusie, 2024. "Normal-beta exponential stochastic frontier model: Maximum simulated likelihood approach," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 23(3), pages 489-504, September.
    3. William C. Horrace & Hyunseok Jung & Yi Yang, 2023. "The conditional mode in parametric frontier models," Journal of Productivity Analysis, Springer, vol. 60(3), pages 333-343, December.
    4. E. Fusco & R. Benedetti & F. Vidoli, 2023. "Stochastic frontier estimation through parametric modelling of quantile regression coefficients," Empirical Economics, Springer, vol. 64(2), pages 869-896, February.
    5. Zangin Zeebari & Kristofer Månsson & Pär Sjölander & Magnus Söderberg, 2023. "Regularized conditional estimators of unit inefficiency in stochastic frontier analysis, with application to electricity distribution market," Journal of Productivity Analysis, Springer, vol. 59(1), pages 79-97, February.
    6. William C. Horrace & Christopher F. Parmeter & Ian A. Wright, 2024. "On asymmetry and quantile estimation of the stochastic frontier model," Journal of Productivity Analysis, Springer, vol. 61(1), pages 19-36, February.
    7. Shirong Zhao & Jeremy Losak, 2024. "Two-tiered stochastic frontier models: a Bayesian perspective," Journal of Productivity Analysis, Springer, vol. 61(2), pages 85-106, April.
    8. Selina Bruns & Bernhard Dalheimer & Oliver Musshoff, 2022. "The effect of cognitive function on the poor's economic performance: Evidence from Cambodian smallholder farmers," Agricultural Economics, International Association of Agricultural Economists, vol. 53(3), pages 468-480, May.
    9. Alecos Papadopoulos, 2024. "The Nash Bargaining Two-tier Stochastic Frontier Model," Advances in Econometrics, in: Essays in Honor of Subal Kumbhakar, volume 46, pages 439-476, Emerald Group Publishing Limited.
    10. Parmeter, Christopher F., 2021. "Is it MOLS or COLS?," Efficiency Series Papers 2021/04, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
    11. Papadopoulos, Alecos & Parmeter, Christopher F., 2023. "A specification test for the composed error term in the stochastic frontier model," Economics Letters, Elsevier, vol. 233(C).

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