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zbMATH Open
Article . 2015
Data sources: zbMATH Open
Statistica Sinica
Article . 2016 . Peer-reviewed
Data sources: Crossref
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Large dimensional empirical likelihood

Authors: Chen, Binbin; Pan, Guangming; Yang, Qing; Zhou, Wang;

Large dimensional empirical likelihood

Abstract

Summary: The empirical likelihood is a versatile nonparametric approach to testing hypotheses and constructing confidence regions. However it is not clear if Wilks' theorem still works in high dimensions. In this paper, by adding two pseudo-observations to the original data set, we prove the asymptotic normality of the log empirical likelihood-ratio statistic when the sample size and the data dimension are comparable. In practice, we suggest using the normalized \(F(p,n-p)\) distribution to approximate its distribution. Simulation results show excellent performance of this approximation.

Country
Singapore
Keywords

Empirical Likelihood, 330, Asymptotic properties of nonparametric inference, :Science::Mathematics [DRNTU], large dimensional data, Large Dimensional Data, empirical likelihood, DRNTU::Science::Mathematics, Nonparametric hypothesis testing

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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!
4
Average
Average
Average
Green