A simplified approach to M-estimation with application to two-stage estimators (Q1088322)

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scientific article; zbMATH DE number 3990604
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A simplified approach to M-estimation with application to two-stage estimators
scientific article; zbMATH DE number 3990604

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    A simplified approach to M-estimation with application to two-stage estimators (English)
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    1987
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    An M-estimator \({\hat \theta}\) is one obtained by solving the system of equations \(\sum^{n}_{i=1}\Psi (z_ i;\theta)/n=0\), where \(z_ i\) are the data vectors and \(\theta\) an unknown parameter vector. The ordinary least squares estimators, instrumental variables estimators and the usual sort of maximum likelihood estimators with interior solutions are all M-estimators. This paper presents a simple version of the theory of M-estimators.
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    two-stage estimators
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    sufficient conditions for consistency and asymptotic normality
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    Hausman type specification test
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    M-estimator
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