A semiparametric approach to estimate reference curves for biophysical properties of the skin

Jerôme Saracco 1
1 CQFD - Quality control and dynamic reliability
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : Reference curves which take one covariable into account such as the age, are often required in medicine, but simple systematic and e±cient statistical methods for constructing them are lacking. Classical methods are based on parametric Øtting (polynomial curves). In this talk, we describe a method- ology for the estimation of reference curves for data sets, based on nonpara- metric estimation of conditional quantiles. The derived method should be applicable to all clinical or more generally biological variables that are mea- sured on a continuous quantitative scale. To avoid the curse of dimensionality when the covariate is multidimensional, a semiparametric approach is pro- posed. This procedure combines a dimension-reduction step (based on sliced inverse regression) and kernel estimation of conditional quantiles step. The usefulness of this semiparametric estimation procedure is illustrated on a sim- ulated data set and on a real data set collected in order to establish reference curves for biophysical properties of the skin of healthy French women
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Submitted on : Wednesday, January 29, 2014 - 11:00:29 AM
Last modification on : Thursday, January 11, 2018 - 6:22:11 AM

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Jerôme Saracco. A semiparametric approach to estimate reference curves for biophysical properties of the skin. International workshop on "Time Series, Quantile Regression and Model Choice, Sep 2010, Dortmund, Germany. ⟨hal-00938188⟩

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