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- W2400704804 abstract "Ferre and Yao (2005, 2007) proposed a method to estimate the Effective Dimension Reduction space in functional sliced inverse regression. Their approach did not require the inversion of the variance-covariance operator of the explanatory variables, and it allowed them to get √ n consistent estimators in the functional case. In those papers there is a mistake. In this note we show that, in general, the approach does not give an estimator of the SIR subspace. We also give necessary and sufficient conditions for this to be true." @default.
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- W2400704804 date "2010-01-01" @default.
- W2400704804 modified "2023-09-23" @default.
- W2400704804 title "NECESSARY AND SUFFICIENT CONDITIONS FOR CONSISTENCY OF A METHOD FOR SMOOTHED FUNCTIONAL INVERSE REGRESSION" @default.
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