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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 ...
    • On estimating the perimeter using the alpha-shape 

      Arias Castro, Ery; Rodríguez Casal, Alberto (Institut Henri Poincaré, 2017)
      We consider the problem of estimating the perimeter of a smooth domain in the plane based on a sample from the uniform distribution over the domain. We study the performance of the estimator defined as the perimeter of the ...

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