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    • Minimax Estimation of the Volume of a Set Under the Rolling Ball Condition 

      Arias Castro, Ery; Pateiro López, Beatriz; Rodríguez Casal, Alberto (Taylor & Francis, 2018)
      We consider the problem of estimating the volume of a compact domain in a Euclidean space based on a uniform sample from the domain. We assume that the domain has a boundary with positive reach. We propose a data-splitting ...
    • Polynomial volume estimation and its applications 

      Cuevas González, Antonio; Pateiro López, Beatriz (Elsevier, 2018)
      Given a compact set S ⊂ R d we consider the problem of estimating, from a random sample of points, the Lebesgue measure of S, µ(S), and its boundary measure, L(S) (as defined by the Minkowski content of ∂S). This topic ...

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