New advances in set estimation

• Alejandro Cholaquidis ^[1]
  1. [1] Universidad de la República

     Universidad de la República

     Uruguay

     
• Localización: BEIO, Boletín de Estadística e Investigación Operativa, ISSN 1889-3805, Vol. 40, Nº. 1, 2024
• Idioma: inglés
• Enlaces
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• Resumen

  • Some recent advances in Set Estimation, from 2009 to the present, are discussed. These include some new findings, improved convergence rates, and new type of sets under study. Typically, the theoretical results are derived under some shape constrains, such as -convexity or positive reach, which are briefly reviewed, together with some other new proposals in this line. Known constraints on the shape, such as -convexity and positive reach, as well as recently introduced ones are discussed. The estimation of the home-range of a species, which is closely related to set estimation, is also explored, and statistical problems on manifolds are covered. Commentary and references are provided for readers interested in delving deeper into the subject.