Vapnik--Chervonenkis type conditions and uniform Donsker classes of functions

• Michel Talagrand ^[1]
  1. [1] Ohio State University

     Ohio State University

     City of Columbus, Estados Unidos

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 31, Nº. 3, 2003, págs. 1565-1582
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • Given a bounded class of functions, we introduce a combinatorial quantity (related to the idea of Vapnik--Chervonenkis classes) that is much more explicit than the Koltchinskii--Pollard entropy, but is proved to be essentially of the same order.