Adjusted empirical likelihood with high-order precision

Y Liu, J Chen - 2010 - projecteuclid.org
Empirical likelihood is a popular nonparametric or semi-parametric statistical method with
many nice statistical properties. Yet when the sample size is small, or the dimension of the …

Finite-sample properties of the adjusted empirical likelihood

J Chen, Y Huang - Journal of Nonparametric Statistics, 2013 - Taylor & Francis
Empirical likelihood-based confidence intervals for the population mean have many
interesting properties [Owen, AB (1988),'Empirical Likelihood Ratio Confidence Intervals for …

Adjusted empirical likelihood and its properties

J Chen, AM Variyath, B Abraham - Journal of Computational and …, 2008 - Taylor & Francis
Computing a profile empirical likelihood function, which involves constrained maximization,
is a key step in applications of empirical likelihood. However, in some situations, the …

Weighted empirical likelihood inference

C Wu - Statistics & probability letters, 2004 - Elsevier
A weighted empirical likelihood approach is proposed to take account of the heteroscedastic
structure of the data. The resulting weighted empirical likelihood ratio statistic is shown to …

Empirical likelihood on the full parameter space

M Tsao, F Wu - 2013 - projecteuclid.org
We extend the empirical likelihood of Owen [Ann. Statist. 18 (1990) 90–120] by partitioning
its domain into the collection of its contours and mapping the contours through a continuous …

Weighted empirical likelihood estimates and their robustness properties

NL Glenn, Y Zhao - Computational statistics & data analysis, 2007 - Elsevier
Maximum likelihood methods are by far the most popular methods for deriving statistical
estimators. However, parametric likelihoods require distributional specifications. The …

Large dimensional empirical likelihood

B Chen, G Pan, Q Yang, W Zhou - Statistica Sinica, 2015 - JSTOR
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 …

A review of recent advances in empirical likelihood

P Liu, Y Zhao - Wiley Interdisciplinary Reviews: Computational …, 2023 - Wiley Online Library
Empirical likelihood is widely used in many statistical problems. In this article, we provide a
review of the empirical likelihood method, due to its significant development in recent years …

Mean empirical likelihood

W Liang, H Dai, S He - Computational Statistics & Data Analysis, 2019 - Elsevier
Empirical likelihood methods are widely used in different settings to construct the confidence
regions for parameters which satisfy the moment constraints. However, the empirical …

Approximate jackknife empirical likelihood method for estimating equations

L Peng - Canadian Journal of Statistics, 2012 - Wiley Online Library
It is known that the profile empirical likelihood method based on estimating equations is
computationally intensive when the number of nuisance parameters is large. Recently, Li …