On minimax rates of convergence in image models under sequential design

A binary image model is studied with a Lipschitz edge function. The indicator function of the image is observed in random noise at n design points that can be chosen sequentially. The asymptotically minimax rate as n-->[infinity] is found in estimating the edge function, and an asymptotically optimal algorithm is described.

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Year of publication:	1999
Authors:	Korostelev, Alexander
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 43.1999, 4, p. 369-375
Publisher:	Elsevier
Keywords:	Image model Minimax rates Asymptotics Sequential design

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005313892