期刊
JOURNAL OF ECONOMETRICS
卷 138, 期 1, 页码 24-46出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.jeconom.2006.05.012
关键词
Anderson-Rubin test; conditional likelihood ratio test; instrumental variables; Lagrange multiplier test; many instrumental variables; weak instruments
This paper establishes the asymptotic distributions of the likelihood ratio (LR), Anderson-Rubin (AR), and Lagrange multiplier (LM) test statistics under many weak IV asymptotics. These asymptotics are relevant when the number of IVs is large and the coefficients on the IVs are relatively small. The asymptotic results hold under the null and under suitable alternatives. Hence, power comparisons can be made. Provided k(3)/n -> 0 as n -> infinity, where n is the sample size and k is the number of instruments, these tests have correct asymptotic size. This holds no matter how weak the instruments are. Hence, the tests are robust to the strength of the instruments. The asymptotic power results show that the conditional LR test is more powerful asymptotically than the AR and LM tests under many weak IV asymptotics. (c) 2006 Elsevier B.V. All rights reserved.
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