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Canadian Journal of Statistics
Article . 2011 . Peer-reviewed
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Reduce computation in profile empirical likelihood method

Authors: Li, Minqiang; Peng, Liang; Qi, Yongcheng;

Reduce computation in profile empirical likelihood method

Abstract

Summary: Since its introduction by \textit{A.B. Owen} [Biometrika 75, No. 2, 237--249 (1988; Zbl 0641.62032); Ann. Stat. 18, No. 1, 90--120 (1990; Zbl 0712.62040)], the empirical likelihood method has been extensively investigated and widely used to construct confidence regions and to test hypotheses in the literature. For a large class of statistics that can be obtained via solving estimating equations, the empirical likelihood function can be formulated from these estimating equations as proposed by \textit{J. Qin} and \textit{J. Lawless} [Ann. Stat. 22, No. 1, 300--325 (1994; Zbl 0799.62049)]. If only a small part of parameters is of interest, a profile empirical likelihood method has to be employed to construct confidence regions, which could be computationally costly. The authors propose a jackknife empirical likelihood method to overcome this computational burden. This proposed method is easy to implement and works well in practice.

Keywords

Computational problems in statistics, estimating equation, Nonparametric statistical resampling methods, Nonparametric estimation, profile empirical likelihood; estimating equation; Jackknife, jackknife, jel: jel:C13, jel: jel:C00

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    influence
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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!
17
Top 10%
Top 10%
Average
bronze