A simple specification test for models with many conditional moment inequalities

A-Tier
Journal: Journal of Econometrics
Year: 2024
Volume: 242
Issue: 1

Authors (3)

Marcoux, Mathieu (Centre Interuniversitaire de R...) Russell, Thomas M. (not in RePEc) Wan, Yuanyuan (not in RePEc)

Score contribution per author:

1.341 = (α=2.01 / 3 authors) × 2.0x A-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

This paper proposes a simple specification test for partially identified models with a large or possibly uncountably infinite number of conditional moment (in)equalities. The approach is valid under weak assumptions, allowing for both weak identification and non-differentiable moment conditions. Computational simplifications are obtained by reusing certain expensive-to-compute components of the test statistic when constructing the critical values. Because of the weak assumptions, the procedure faces a new set of interesting theoretical issues which we show can be addressed by an unconventional sample-splitting procedure that runs multiple tests of the same null hypothesis. The resulting specification test controls size uniformly over a large class of data generating processes, has power tending to 1 for fixed alternatives, and has power against certain local alternatives which we characterize. Finally, the testing procedure is demonstrated in three simulation exercises.

Technical Details

RePEc Handle
repec:eee:econom:v:242:y:2024:i:1:s0304407624001349
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-25