Set estimation under convexity type assumptions
Alberto Rodríguez Casal (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Displaying similar documents to “Rolling-ball method for estimating the boundary of the support of a point-process intensity”
Set estimation under convexity type assumptions
Set estimation: Another bridge between statistics and geometry.
A. Cuevas (2009)
Boletín de Estadística e Investigación Operativa. BEIO
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Asymptotically minimax estimation of order-constrained parameters and eigenfunctions of the laplacian on the ball
Adam Korányi, K. Brenda MacGibbon (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Estimating an even spherical measure from its sine transform
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.