July 2002 (Revised November 2002)

Testing the Null of Identification in GMM

Jonathan Wright

Abstract:

This paper proposes a new test of the null hypothesis that a generalized method of moments model is identified. The test can detect local or global underidentification, and underidentification in some or all directions. The idea of the test is to compare the volume of two confidence sets - one that is robust to lack of identification and one that is not. Under the null hypothesis the relative volume of these two sets is Op(1), but under the alternative, the robust confidence set has infinite relative volume.

Original version (330 KB PDF)

Keywords: Identification, Robust Confidence Sets, Weak Instruments, Generalized Method of Moments

PDF: Full Paper

Disclaimer: The economic research that is linked from this page represents the views of the authors and does not indicate concurrence either by other members of the Board's staff or by the Board of Governors. The economic research and their conclusions are often preliminary and are circulated to stimulate discussion and critical comment. The Board values having a staff that conducts research on a wide range of economic topics and that explores a diverse array of perspectives on those topics. The resulting conversations in academia, the economic policy community, and the broader public are important to sharpening our collective thinking.

Back to Top
Last Update: January 29, 2021