EFFICIENT ESTIMATION OF MONOTONE BOUNDARIES
成果类型：
Article
署名作者：
KOROSTELEV, AP; SIMAR, L; TSYBAKOV, AB
署名单位：
Universite Catholique Louvain; Sorbonne Universite
刊物名称：
ANNALS OF STATISTICS
ISSN/ISSBN：
0090-5364
DOI：
10.1214/aos/1176324531
发表日期：
1995
页码：
476-489
关键词：
摘要：
Let g: [0,1] --> [0,1] be a monotone nondecreasing function and let G be the closure of the set {(x, y) is an element of [0,1] X [0,1]: 0 less than or equal to y less than or equal to g(x)}. We consider the problem of estimating the set G from a sample of i.i.d. observations uniformly distributed in G. The estimation error is measured in the Hausdorff metric. We propose the estimator which is asymptotically efficient in the minimax sense.
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