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Robust M-Tests

Published online by Cambridge University Press:  11 February 2009

Franco Peracchi
Franco Peracchi
Affiliation:
New York University
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Abstract

This paper investigates the local robustness properties of a general class of multidimensional tests based on M-estimators. These tests are shown to inherit the efficiency and robustness properties of the estimators on which they are based. In particular, it is shown that small perturbations of the distribution of the observations can have arbitrarily large effects on the asymptotic level and power of tests based on estimators that do not possess a bounded influence function. An asymptotic ‘admissibility’ result is also presented, which provides a justification for tests based on optimal bounded-influence estimators.

Type
Articles
Information
Econometric Theory , Volume 7 , Issue 1 , March 1991 , pp. 69 - 84
Copyright
Copyright © Cambridge University Press 1991

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References

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