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Normal-beta exponential stochastic frontier model: Maximum simulated likelihood approach

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  • Misgan Desale Nigusie

    (Bahir Dar University
    Lund University)

Abstract

This paper considers the beta exponential distribution as a distribution function of inefficacy score in a stochastic frontier model. The beta exponential distribution is a three-parameter distribution, and it is more flexible than commonly used probability density functions in a stochastic frontier model (SFM). This new model, a “Normal-Beta Exponential SFM”, nests another five SFMs. This paper presents a simulated log-likelihood function and simulated inefficiency estimator of a normal-beta exponential SFM, a closed form log-likelihood function and closed form inefficiency estimator of a normal-weighted exponential SFM, and an empirical study using a normal-beta exponential SFM. In our empirical study, we have used a likelihood ratio test to compare the performance of SFMs and a normal-beta exponential SFM fits the data better than other nested special case SFMs. Furthermore, the empirical result shows that parameters of a normal-beta exponential SFM can be estimated with less standard error or high certainty than a normal-gamma SFM.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:portec:v:23:y:2024:i:3:d:10.1007_s10258-023-00247-0
    DOI: 10.1007/s10258-023-00247-0
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    More about this item

    Keywords

    Beta exponential distribution; Stochastic frontier model; Simulated likelihood; Halton sequences;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling

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