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Published 1987 | public
Journal Article

Generalized inverses and asymptotic properties of Wald tests

Abstract

We consider Wald tests based on consistent estimators of g-inverses of the asymptotic covariance matrix ∑ of a statistic that is n^(1/2)-asymptotically normal distributed. Asymptotic properties of the tests are obtained under the null hypothesis and under any sequence of local alternatives. As an illustration, our results are applied to obtain a new simple Hausman test which is always asymptotically equivalent to the classical tests.

Additional Information

© 1987, Elsevier Science Publishers B.V. (North-Holland). Received 22 May 1987; accepted 24 July 1987. This research was supported by National Science Foundation Grant SES-841093. I am indebted to D. Andrew, W. Newey, and D. Rivers for helpful remarks, and to CR. Jackson for moral support. This paper is dedicated to certain colleagues at Caltech. Formerly SSWP 607.

Additional details

Created:
August 19, 2023
Modified:
October 17, 2023