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Conference Papers Year : 2010

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

Jerôme Saracco

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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Dates and versions

hal-00938188 , version 1 (29-01-2014)

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  • HAL Id : hal-00938188 , version 1

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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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