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Reference curve estimation via alternating sliced inverse regression

Gannoun, Ali / Guinot, Christiane / Saracco, Jérôme

10.1002/env.630.abs

In order to obtain reference curves for data sets when the variable of interest and the covariate are multidimensional, we propose a new methodology in this article based on a dimension‐reduction approach and non‐parametric estimation of conditional quantiles. This approach is semiparametric and combines Alternating Sliced Inverse Regression and a kernel estimation of conditional quantiles. The usefulness of this estimation procedure is illustrated with a real data set collected for the purpose of establishing reference curves for the biophysical properties of the skin of healthy French women. Copyright © 2003 John Wiley & Sons, Ltd.

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Reference curve estimation via alternating sliced inverse regression

Gannoun, Ali / Guinot, Christiane / Saracco, Jérôme

10.1002/env.630.abs

In order to obtain reference curves for data sets when the variable of interest and the covariate are multidimensional, we propose a new methodology in this article based on a dimension‐reduction approach and non‐parametric estimation of conditional quantiles. This approach is semiparametric and combines Alternating Sliced Inverse Regression and a kernel estimation of conditional quantiles. The usefulness of this estimation procedure is illustrated with a real data set collected for the purpose of establishing reference curves for the biophysical properties of the skin of healthy French women. Copyright © 2003 John Wiley & Sons, Ltd.

Reference curve estimation via alternating sliced inverse regression

Gannoun, Ali / Guinot, Christiane / Saracco, Jérôme

10.1002/env.630.abs

In order to obtain reference curves for data sets when the variable of interest and the covariate are multidimensional, we propose a new methodology in this article based on a dimension‐reduction approach and non‐parametric estimation of conditional quantiles. This approach is semiparametric and combines Alternating Sliced Inverse Regression and a kernel estimation of conditional quantiles. The usefulness of this estimation procedure is illustrated with a real data set collected for the purpose of establishing reference curves for the biophysical properties of the skin of healthy French women. Copyright © 2003 John Wiley & Sons, Ltd.

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Titel:

Reference curve estimation via alternating sliced inverse regression

Beteiligte:

Gannoun, Ali (Autor:in) / Guinot, Christiane (Autor:in) / Saracco, Jérôme (Autor:in)

Erschienen in:

Environmetrics ; 15 ; 81-99

Erscheinungsdatum:

01.02.2004

Format / Umfang:

19 pages

ISSN:

1099-095X , 1180-4009

DOI:

https://doi.org/10.1002/env.630

Medientyp:

Aufsatz (Zeitschrift)

Format:

Elektronische Ressource

Sprache:

Englisch

Schlagwörter:

dimension reduction subspace , alternating sliced inverse regression , conditional quantile , kernel estimation , reference curves , semiparametric method

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