Set estimation under convexity type assumptions
Alberto Rodríguez Casal (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Alberto Rodríguez Casal (2007)
Annales de l'I.H.P. Probabilités et statistiques
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A. Cuevas (2009)
Boletín de Estadística e Investigación Operativa. BEIO
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Adam Korányi, K. Brenda MacGibbon (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Lars Michael Hoffmann (2009)
Applications of Mathematics
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To reconstruct an even Borel measure on the unit sphere from finitely many values of its sine transform a least square estimator is proposed. Applying results by Gardner, Kiderlen and Milanfar we estimate its rate of convergence and prove strong consistency. We close this paper by giving an estimator for the directional distribution of certain three-dimensional stationary Poisson processes of convex cylinders which have applications in material science.