We review recent developments in the econometrics of shape restrictions and their role in applied work. Our objectives are threefold. First, we aim to emphasize the diversity of applications in which shape restrictions have played a fruitful role. Second, we intend to provide practitioners with an intuitive understanding of how shape restrictions impact the distribution of estimators and test statistics. Third, we aim to provide an overview of new advances in the theory of estimation and inference under shape restrictions. Throughout the review, we outline open questions and interesting directions for future research.

Read paper in the Annual Review of Economics

More on this topic

BFI Working Paper·May 5, 2026

Retrospective Versus Prospective Meritocracy

Steven Durlauf
Topics: Uncategorized
BFI Working Paper·Mar 17, 2026

Quantum Bayesian Inference: An Exploration

Jon Frost, Carlos Madeira, Yash Rastogi, and Harald Uhlig
Topics: Uncategorized
BFI Working Paper·Feb 23, 2026

Multidimensional Signaling and the Rise of Cultural Politics

Daron Acemoglu, Georgy Egorov, and Konstantin Sonin
Topics: Uncategorized