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- W2807228768 abstract "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 approach to correct the bias of the plug-in estimator based on the sample α-convex hull. We show that this simple estimator achieves a minimax lower bound that we derive. Some numerical experiments corroborate our theoretical findings. Supplementary materials for this article are available online." @default.
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- W2807228768 date "2018-08-15" @default.
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- W2807228768 title "Minimax Estimation of the Volume of a Set Under the Rolling Ball Condition" @default.
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- W2807228768 doi "https://doi.org/10.1080/01621459.2018.1482751" @default.
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