Testing Overidentifying Restrictions with Inefficient Estimators

Document Type

Article

Publication Date

1987

ISSN

1873-7374

Publisher

Elsevier

Language

en-US

Abstract

This note considers testing overidentifying restrictions with incorrect weights in a generalized method of moments framework. It is shown that the test statistic under a fairly general class of non-optimal weighting matrices can be decomposed asymptotically into the sum of a chi-squared random variable and an additional quadratic form. The decomposition is used to find the distribution of the statistic.

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