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Article
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Discussiones Mathematicae Probability and Statistics
Article . 2000 . Peer-reviewed
Data sources: Crossref
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Numerical methods for linear minimax estimation

Authors: Gaffke, Norbert; Heiligers, Berthold;

Numerical methods for linear minimax estimation

Abstract

Summary: We discuss two numerical approaches to linear minimax estimation in linear models under ellipsoidal parameter restrictions. The first attacks the problem directly, by minimizing the maximum risk among the estimators. The second method is based on the duality between minimax and Bayes estimation, and aims at finding a least favorable prior distribution.

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Keywords

parametric restrictions, Estimation in multivariate analysis, Minimax procedures in statistical decision theory, Computational problems in statistics, p-mean, quasi Newton method, linear model, Bayes estimation, duality, L-optimality, mean squared error, minimax estimation, non-smooth optimization

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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