Robust Bayes Inference under Qualitative Restrictions on Economic Statistics[draft available on request]
Robust Bayes Inference under Qualitative Restrictions on Economic Statistics[draft available on request]
How much prior discipline is needed to sustain structural conclusions in set-identified macroeconomic models? This paper develops a robust Bayesian framework for answering this question when the objects of interest are policy-relevant functionals such as elasticities, historical decompositions, multipliers, and optimal-policy statistics. In set-identified models, the likelihood updates the reduced form but not the unidentified structural component. We use this observation to impose qualitative prior information on functionals of interest by reweighting baseline structural draws, turning classes of priors into linear restrictions on the weights and reducing posterior bound computation to linear programs. The framework nests single-prior Bayes and full ambiguity-robust Bayes, while allowing economically interpretable intermediate cases that avoid both hard identifying restrictions and over-specified parametric priors. Applied to oil-market SVARs, the method shows that demand dominance in real-oil-price fluctuations is robust, whereas the near-irrelevance of supply shocks depends on stringent elasticity-prior discipline. Applied to monetary-policy SVARs, it quantifies how qualitative restrictions on policy statistics shape inference about multipliers and optimal policy.
Presented at: Econometric Society European Winter Meeting (December 2025), Macro Lunch Università Cattolica (September 2025), Sailing the Macro (Sicily, September 2025, regular session), Junior Milan Time Series Workshop (March 2025, poster), PRIN Workshop (June 2025, Poster) , Örebro Workshop on Macro- and Financial Econometrics (November 2025), 16th European Seminar on Bayesian Econometrics (August 2026, oral session)
Sharp Identification for Regression with Interval-Observed and Missing Covariates (joint with Gil Jan Peled) [draft available on request]
Researchers often confront regressions where key covariates are missing or only interval-observed. Common fixes, e.g imputation or auxiliary modeling assumptions, resolve ambiguity at the expense of credibility. Instead, we derive the sharp identified set, the smallest parameter set consistent with both the data and the maintained regression model. A computationally tractable (Hausdorff consistent) estimator for this set is provided with associated asymptotic (uniformly) valid confidence regions for the true parameter. Technically, this is achieved by extending a previous random set framework for finitely many moments to infinite-dimensional Polish (separable and complete) spaces.
Upcoming Presentations: 31st International Panel Data Conference, University of Exeter (July 2026), ESIF Economics and AI+ML Meeting, Cornell University (June 2026), IAAE Lisbon (June 2026), Munich Econometrics Workshop (Poster, July 2026)
Power Prior for VARs (joint with Massimiliano Marcellino, Tommaso Tornese) [Young Researcher Award RCEA Madrid ]
Power priors modify the historical likelihood by raising it to the power of a discount factor, allowing researchers to downweight past or external data. This generalizes the standard Bayesian updating formula and provides a flexible framework for incorporating external information into macroeconomic models. We extend the theoretical foundations of power priors to vector autoregressions (VARs) and show that they are equivalent to simple hierarchical structures—while preserving conjugacy and compatibility with modern structural identification methods. Applications include cross-country borrowing to improve forecast accuracy, sharper estimation of long-run Phillips curves, and a novel sensitivity analysis tool based on observation-specific discounting.
Presented at: IAAE 2025 Turin (June 2025), 16th RCEA Bayesian Econometrics Workshop (May 2026), Nordic Econometric Meeting Helsinki (June 2026), Vienna Workshop on High-Dimensional Time Series in Macroeconomics and Finance (May 2026)
This paper shows the merit of one-sided conformal prediction methods for quantile forecasting. Our approach converts point forecasts of any kind of model into quantile predictions. Through simulations and an application in nowcasting US GDP tail risk using numerous high-frequency regressors, we demonstrate that conformal quantile forecasts are accurately calibrated for high dimensional problems, unlike bootstrap quantiles. Additionally, our algorithm produces comparable results to a leading nowcasting approach in a fraction of its computing time. In a second application we use our proposal to forecast percentiles of a distribution as quantile crossing is ruled out by construction.
Presented at: 3rd International Econometrics PhD Conference (November 2023), VTSS Virtual Workshop for Junior Researchers in Time Series (March 2024)