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Consistency and Inconsistency of Maximum Quasi Likelihood Estimators
by
Bing Li
The Pennsylvania State University
It has long been speculated that, if a parametric class of estimating equations forms a conservative vector field, then, under some conditions, the maximum point of the potential function should be a consistent estimator of the parameter. This is part of the reason for preferring a maximum quasi likelihood estimator to other solutions of the quasi-likelihood equation. However, such sufficient conditions have not been established except in special cases. In this talk I will discuss two sets of reasonably general sufficient conditions for a maximum quasi likelihood estimator to be consistent. I will also discuss the situations in which it is inconsistent.
Date received: November 13, 2001
Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # caid-85.