We propose a method, alternative to that of Estrella (2003, <italic>Econometric Theory</italic> 19, 1128–1143), of obtaining exact asymptotic <italic>p</italic>-values and critical values for the popular Andrews (1993, <italic>Econometrica</italic> 61, 821–856) test for structural stability. The method is based on inverting an integral...

This paper studies the asymptotic validity of the Anderson–Rubin (<italic>AR</italic>) test and the <italic>J</italic> test for overidentifying restrictions in linear models with many instruments. When the number of instruments increases at the same rate as the sample size, we establish that the conventional <italic>AR</italic> and <italic>J</italic> tests are...