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Consistency Via Type 2 Inequalities: A Generalization of Wu's Theorem
Published online by Cambridge University Press: 18 October 2010
Abstract
Wu introduced a new technique for proving consistency of least-squares estimators in nonlinear regression. This paper extends his results in three directions. First, we consider the minimization of arbitrary functions (M-estimators instead of least squares). Second, we use an improved type 2 inequality. Third, an extension of Kronecker's lemma yields a more powerful result.
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