Bayesian Indicator-Saturated Regression

Published in Forthcoming in the Econometrics Journal, 2026

Abstract: Structural break identification methods are an important tool for evaluating the effectiveness of climate change mitigation policies. In this paper, we introduce a unified probabilistic framework for detecting structural breaks with unknown timing and arbitrary sequence in longitudinal data. The proposed Bayesian setup uses indicator-saturated regression and a spike-and-slab prior with an inverse-moment density as the slab component to ensure model selection consistency. Simulation results show that the method outperforms comparable frequentist approaches, particularly in environments with a high probability of structural breaks. We apply the framework to identify and evaluate the effects of climate policies in the European road transport sector.

Presented at:

  • What Works Climate Solutions (WWCS) 2024
  • International Society for Bayesian Analysis (ISBA) World Meeting 2024
  • European Seminar on Bayesian Econometrics (ESOBE) 2024
  • University of Melbourne - Econometrics Seminar 2025
  • Monash University - EBS seminar 2025
  • International Conference on Economic Modeling and Data Science (EcoMod 2026)
  • Asia Meeting of the Econometric Society, East & Southeast Asia (AMES 2026)
  • European Meeting of the Econometric Society (EEA-ESEM 2026)

Status: Forthcoming in the Econometrics Journal

Co-authors: Lukas Vashold, Jesús Crespo Cuaresma

Keywords: Panel Data, Structural Breaks, Bayesian Statistics, Indicator Saturation

Recommended citation: Konrad, L.D., Vashold, L., Crespo Cuaresma, J. (2026). "Bayesian Indicator-Saturated Regression" arXiv.
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