Further Results on the Limiting Distribution of GMM Sample Moment Conditions

A-Tier
Journal: Journal of Business & Economic Statistics
Year: 2012
Volume: 30
Issue: 4
Pages: 494-504

Authors (3)

Nikolay Gospodinov (Federal Reserve Bank of Atlant...) Raymond Kan (not in RePEc) Cesare Robotti (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

In this article, we examine the limiting behavior of generalized method of moments (GMM) sample moment conditions and point out an important discontinuity that arises in their asymptotic distribution. We show that the part of the scaled sample moment conditions that gives rise to degeneracy in the asymptotic normal distribution is <italic>T</italic>-consistent and has a nonstandard limiting distribution. We derive the appropriate asymptotic (weighted chi-squared) distribution when this degeneracy occurs and show how to conduct asymptotically valid statistical inference. We also propose a new rank test that provides guidance on which (standard or nonstandard) asymptotic framework should be used for inference. The finite-sample properties of the proposed asymptotic approximation are demonstrated using simulated data from some popular asset pricing models.

Technical Details

RePEc Handle
repec:taf:jnlbes:v:30:y:2012:i:4:p:494-504
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-25