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All issues Volume 17 (2013) ESAIM: PS, 17 (2013) 359-369 References
Free Access
Issue
ESAIM: PS
Volume 17, 2013
Page(s) 359 - 369
DOI https://doi.org/10.1051/ps/2011160
Published online 17 May 2013
  1. L. Ambrosio, A. Colesanti and E. Villa, Outer Minkowski content for some classes of closed sets. Math. Ann. 342 (2008) 727–748. [CrossRef] [MathSciNet] [Google Scholar]
  2. I. Armendáriz, A. Cuevas and R. Fraiman, Nonparametric estimation of boundary measures and related functionals: asymptotic results. Adv. Appl. Probab. 41 (2009) 311–322. [CrossRef] [Google Scholar]
  3. A.J. Baddeley and E.B. Vedel-Jensen, Stereology for Statisticians. Chapman & Hall, London (2005). [Google Scholar]
  4. A. Cuevas, and R. Fraiman, Set estimation, in New Perspectives on Stochastic Geometry, edited by W.S. Kendall and I. Molchanov. Oxford University Press (2010) 374–397. [Google Scholar]
  5. A. Cuevas, R. Fraiman and A. Rodríguez-Casal, A nonparametric approach to the estimation of lengths and surface areas. Ann. Stat. 35 (2007) 1031–1051. [CrossRef] [Google Scholar]
  6. A. Cuevas, R. Fraiman and B. Pateiro-López, On statistical properties of sets fulfilling rolling-type conditions. Adv. Appl. Probab. 44 (2012) 311–329. [CrossRef] [Google Scholar]
  7. P. Erdős, Some remarks on the measurability of certain sets. Bull. Amer. Math. Soc. 51 (1945) 728–731. [CrossRef] [MathSciNet] [Google Scholar]
  8. H. Federer, Curvature measures. Trans. Amer. Math. Soc. 93 (1959) 418–491. [CrossRef] [MathSciNet] [Google Scholar]
  9. H. Federer, Geometric Measure Theory. Springer, New York (1969). [Google Scholar]
  10. R. Jiménez and J.E. Yukich, Nonparametric estimation of surface integrals. Ann. Stat. 39 (2011) 232–260. [CrossRef] [Google Scholar]
  11. E. Mammen and A.B. Tsybakov, Asymptotical minimax recovery of sets with smooth boundaries. Ann. Stat. 23 (1995) 502–524. [CrossRef] [MathSciNet] [Google Scholar]
  12. P. Mattila, Geometry of Sets and Measures in Euclidean Spaces: Fractals and rectifiability. Cambridge University Press, Cambridge (1995). [Google Scholar]
  13. T.C. O’Neill, Geometric measure theory, in Encyclopedia of Mathematics, Supplement III. Kluwer Academic Publishers (2002). [Google Scholar]
  14. B. Pateiro-López and A. Rodríguez-Casal, Length and surface area estimation under convexity type restrictions. Adv. Appl. Probab. 40 (2008) 348–358. [CrossRef] [Google Scholar]
  15. E. Villa, On the outer Minkowski content of sets. Ann. Mat. Pura Appl. 188 (2009) 619–630. [CrossRef] [MathSciNet] [Google Scholar]

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