This note provides the weak-instrument asymptotic distributions of Hahn and Hausman’s (2002) tests for instrument validity. These distributions are used to compute asymptotic rejection rates when instruments are weak and, as a special case, irrelevant. These tests were proposed as pretests, and the asymptotic properties of post-test inferences, conditional on the tests failing to reject instrum...

This paper investigates the potential problem of ‘pseudo-exogenous’ instruments in regression models. We show that the performance of Hausman test is deteriorated when the instruments are asymptotically exogenous but endogenous in finite samples, through Monte Carlo simulations.

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Economic models often imply that certain variables are cointegrated. However, tests often fail to reject the null hypothesis of no cointegration for these variables. One possible explanation of these test results is that the error is unit root nonstationary due to a nonstationary measurement error in one variable. For example, currency held by domestic economic agents for legitimate transaction...

We use Monte Carlo methods to study the properties of the bootstrap Breusch-Godfrey test for autocorrelated errors in two versions a) by bootstrapping under the null hypothesis, restricted and b) by bootstrapping under the alternative hypothesis, unrestricted. We use the residual bootstrap for the bootstrap-BG test. Our analysis regarding the size of the test reveals that both bootstrap tests h...