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Smooth discrimination analysis

Author

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  • Mammen, Enno
  • Tsybakov, Aleksandr B.

Abstract

Discriminant analysis for two data sets in IRd with probability densities f and g can be based on the estimation of the set G = {x : f(x) Ï g(x)}. We consider applications where it is appropriate to assume that the region G has a smooth boundary. In particular, this assumption makes sense if discriminant analysis is used as a data analytic tool. We discuss optimal rates for estimation of G.

Suggested Citation

  • Mammen, Enno & Tsybakov, Aleksandr B., 1998. "Smooth discrimination analysis," SFB 373 Discussion Papers 1998,4, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    • Handle: RePEc:zbw:sfb373:19984
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