Efficient estimation of conditional covariance matrices for dimension reduction

Mathematics – Statistics Theory

Scientific paper

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Scientific paper

We consider the problem of estimating a conditional covariance matrix in an
inverse regression setting. We show that this estimation can be achieved by
estimating a quadratic functional extending the results of Da veiga & Gamboa
(2008). We prove that this method provides a new efficient estimator whose
asymptotic properties are studied.

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