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Comptes Rendus Mathematique
Article . 2020 . Peer-reviewed
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Comptes Rendus Mathématique
Article . 2020
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zbMATH Open
Article . 2020
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A note on bias reduction

Authors: Withers, Christopher S.; Nadarajah, Saralees;

A note on bias reduction

Abstract

Let w ^ be an unbiased estimate of an unknown w ∈ R . Given a function t ( w ) , we show how to choose a function f n ( w ) such that for w * = w ^ + f n ( w ) , E t w * = t ( w ) . We illustrate this with t ( w ) = w a for a given constant a . For a = 2 and w ^ normal, this leads to the convolution equation c r = c r ⊗ c r .

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Keywords

QA1-939, Point estimation, Mathematics

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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
Average
Average
gold