Computational Statistics

, Volume 22, Issue 4, pp 599–617 | Cite as

Pooled marginal slicing approach via SIR α with discrete covariables

  • Benoît Liquet
  • Jérôme SaraccoEmail author
Original Paper


In this paper, we consider a semiparametric regression model involving both p-dimensional quantitative covariable X and categorical predictor Z, and including a dimension reduction of X via K indices Xβ k . The dependent variable Y can be real or q-dimensional. We propose an approach based on SIR α and pooled marginal slicing methods in order to estimate the space spanned by the β k ’s. We establish \(\sqrt{n}\) -consistency of the proposed estimator. Simulation studies show the numerical qualities of our estimator.


Discrete predictor Semiparametric regression model Sliced inverse regression (SIR) Pooled marginal slicing (PMS) 


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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.ISPED, INSERM U875Université Victor Segalen Bordeaux 2Bordeaux CedexFrance
  2. 2.GRETha, UMR CNRS 5113Université de Montesquieu Bordeaux 4Pessac CedexFrance

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