finite-sample lower bound function for the probability that a CS constructed using a two-sided invariant similar test has … close,” say 0005 or less, to this lower bound function. This implies that the CLR test is not always very close to the two … hand, the paper establishes the finite-sample optimality of the CLR test when the correlation between the structural and …

, respectively, under the null hypothesis when the conditions required for consistency of the parameter under test hold. But, the …

be nearly unidentifi ed. Our theoretical framework connects many existing publications on impossible inference that rely … often easier to prove, it is applicable for many widely-used tests, and it is useful for robust hypothesis testing. We … conclude by demonstrating impossible inference in multiple economic applications of models with discontinuity and time …

values that adapt to the strength of identification of the parameters not under test. This test has correct size and strictly …We study subvector inference in the linear instrumental variables model assuming homoskedasticity but allowing for weak … instruments. The subvector Anderson and Rubin (1949) test that uses chi square critical values with degrees of freedom reduced by …

Cluster-robust inference is widely used in modern empirical work in economics and many other disciplines. The key unit … identify datasets and regression designs in which cluster-robust inference is likely to be challenging. The measures of …

tested covariates to obtain a test statistic. The resulting test is applicable even if the predictor dimension is much larger … that the proposed test statistic is asymptotically standard normal, which is further supported by Monte Carlo experiments …. A similar test can be extended to generalized linear models. The practical usefulness of the test is illustrated via an …