IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Necessary and sufficient conditions for consistency of a method for smoothed functional inverse regression
Autor/es:
COOK, R. D.; FORZANI, L.; YAO, A.F.
Revista:
Statistica Sinica
Referencias:
Año: 2009
Resumen:
Ferré and Yao (2005, 2007) proposed a method to estimate the Effective DimensionReduction space in functional sliced inverse regression. Their approach did not requirethe inversion of the variance-covariance operator of the explanatory variables, and itallowed them getpn consistent estimators in the functional case. In those papers thereis a mistake. In this note we will show that, in general, the approach does not give anestimator of the SIR subspace. We also give necessary and sufficient conditions for thisto be true.