JournalsowrVol. 8 / No. 4DOI 10.4171/owr/2011/48

Very High Dimensional Semiparametric Models

  • Arnold Janssen

    Heinrich-Heine-Universität, Düsseldorf, Germany
  • Aad van der Vaart

    Universiteit Leiden, Netherlands
  • Jon A. Wellner

    University of Washington, Seattle, United States
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Abstract

Very high dimensional semiparametric models play a major role in many areas, in particular in signal detection problems when sparse signals or sparse events are hidden among high dimensional noise. Concrete examples are genomic studies in biostatistics or imaging problems. In a broad context all kind of statistical inference and model selection problems were discussed for high dimensional data.