Sliced Inverse Regression In Reference Curves Estimation
GIRARD, Stéphane
Modelling and Inference of Complex and Structured Stochastic Systems [?-2006] [MISTIS [?-2006]]
Leer más >
Modelling and Inference of Complex and Structured Stochastic Systems [?-2006] [MISTIS [?-2006]]
GIRARD, Stéphane
Modelling and Inference of Complex and Structured Stochastic Systems [?-2006] [MISTIS [?-2006]]
< Leer menos
Modelling and Inference of Complex and Structured Stochastic Systems [?-2006] [MISTIS [?-2006]]
Idioma
en
Article de revue
Este ítem está publicado en
Computational Statistics and Data Analysis. 2004, vol. 46, n° 1, p. 103-122
Elsevier
Resumen en inglés
In order to obtain reference curves for data sets when the covariate is multidimensional, we propose in this paper a new procedure based on dimension-reduction and nonparametric estimation of conditional quantiles. This ...Leer más >
In order to obtain reference curves for data sets when the covariate is multidimensional, we propose in this paper a new procedure based on dimension-reduction and nonparametric estimation of conditional quantiles. This semiparametric approach combines sliced inverse regression (SIR) and a kernel estimation of conditional quantiles. The asymptotic convergence of the derived estimator is shown. By a simulation study, we compare this procedure to the classical kernel nonparametric one for different dimensions of the covariate. The semiparametric estimator shows the best performance. The usefulness of this estimation procedure is illustrated on a real data set collected in order to establish reference curves for biophysical properties of the skin of healthy French women.< Leer menos
Orígen
Importado de HalCentros de investigación