ADAPTIVE ESTIMATES OF LINEAR FUNCTIONALS
成果类型:
Article
署名作者:
EFROMOVICH, S; LOW, MG
署名单位:
University of Pennsylvania
刊物名称:
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN:
0178-8051
DOI:
10.1007/BF01192517
发表日期:
1994
页码:
261-275
关键词:
摘要:
Given a collection of nested closed, convex symmetric sets and a linear functional, we find estimates which are within a logarithm term of being simultaneously asymptotically minimax. Moreover, these estimates can be constructed so that the loss of this logarithm term only occurs on a small subset of functions. These estimates are quasi-optimal since there do not exist estimators which do not lose a logarithm term on some part of the parameter spaces.
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