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Recent Advances in Causal Analysis of the Stochastic Frontier Model

Samuele Centorrino, Christopher F. Parmeter

arXiv 21 Apr 2026 · Econometrics

arXiv:2604.19693 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Causal inference methods (instrumental variables, difference-in-differences, regression discontinuity, etc.) are primary tools used across many social science milieus. One area where their application has lagged however, is in the study of productivity and efficiency. A main reason for this is that the nature of the stochastic frontier model does not immediately lend itself to a causal framework when interest hinges on an error component of the model. This paper reviews the nascent literature on attempts to merge the stochastic frontier literature with causal inference methods. We discuss modeling approaches and empirical issues that are likely to be relevant for applied researchers in this area. This review shows how this model can be easily put within the confines of causal analysis, reviews existing work that has already made inroads in this area, addresses challenges that have yet to be met and discusses core findings.

Citation extraction

60
references
124
in-text mentions
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distinct cited
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self-citations
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main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Wang, H.-J. and Schmidt, P (2002) One-step and two-step estimation of the effects of exogenous variables on technical efficiency levels1.00053100%
2Liyang Sun and Sarah Abraham (2021) Estimating dynamic treatment effects in event studies with heterogeneous treatment effects0.874112100%
3Amsler, C. and Prokhorov, A. and Schmidt, P (2016) Endogeneity in stochastic frontier models0.87492100%
4Johnes, Geraint and Tsionas, Mike G (2019) A regression discontinuity stochastic frontier model with an application to educational attainment0.87492100%
5Samuele Centorrino and Mar\'ia Pérez-Urdiales (2023) Maximum likelihood estimation of stochastic frontier models with endogeneity self0.87482100%
6Karakaplan, M. U. and Kutlu, L (2017) Handling endogeneity in stochastic frontier analysis0.81142100%
7Centorrino, Samuele and Pérez-Urdiales, Mar\'ia and Bravo-Ureta, Bor… (2024) Binary endogenous treatment in stochastic frontier models with an application to soil conservation in El Salvador self0.73732100%
8Parmeter, C. F (2023) Is it MOLS or COLS? self0.73732100%
9Imbens, Guido W and Kalyanaraman, Karthik (2012) Optimal Bandwidth Choice for the Regression Discontinuity Estimator0.64441100%
10Amsler, C. and Prokhorov, A. and Schmidt, P (2017) Endogenous environmental variables in stochastic frontier models0.64422100%

Showing the top 10 of 60 scored citations.