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Empirical Likelihood for Partially Linear Models Under Negatively Associated Errors

Journal of Systems Science & Complexity 2016年第4期29卷 1145-1159页

作者： lei qingzhu QIN Yongsong Department of Mathematics Guangxi Normal University

This paper proposes to use the blockwise empirical likelihood （EL） method to construct the confidence regions for the regression vector β in a partially linear model under negatively associated errors. It is shown that the blockwise EL ratio statistic for β is asymptotically χ^2 distributed. The result is used to obtain an EL-based confidence region for β. Results of a simulation study on the finite sample performance of the proposed confidence regions are reported.

关键词： Blockwise empirical likelihood confidence region negatively associated error partially linear model.

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CONFIDENCE INTERVALS FOR NONPARAMETRIC REGRESSION FUNCTIONS WITH MISSING DATA： MULTIPLE DESIGN CASE

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Journal of Systems Science & Complexity 2011年第6期24卷 1204-1217页

作者： qingzhu lei Yongsong QIN School of Mathematical Sciences Guangxi Normal University Guilin 541004 China

This paper considers two estimators of θ= g（x） in a nonparametric regression model Y = g（x）＋ ε（x∈ （0, 1）p） with missing responses： Imputation and inverse probability weighted esti- mators. Asymptotic normality of the two estimators is established, which is used to construct normal approximation based confidence intervals on θ.

关键词： Confidence interval missing at random nonparametric regression normal approximation.

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Joint Empirical Likelihood Confidence Regions for a Finite Number of Quantiles Under Negatively Associated Samples

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Journal of Systems Science & Complexity 2015年第6期28卷 1389-1398页

作者： QIN Yongsong LI Yinghua lei qingzhu Department of Mathematics Guangxi Normal University

In this paper, the authors obtain the joint empirical likelihood confidence regions for a finite number of quantiles under negatively associated samples. As an application of this result, the empirical likelihood conf... 详细信息

关键词： Blockwise empirical likelihood confidence region negatively associated sample quantile

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Modified likelihood ratio test for homogeneity in bivariate normal mixtures with presence of a structural parameter

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Science China Mathematics 2008年第10期51卷 1871-1882页

作者： QIN YongSong lei qingzhu School of Mathematical Sciences Guangxi Normal UniversityGuilin 541004China

This paper investigates the asymptotic properties of the modified likelihood ratio statistic for testing homogeneity in bivariate normal mixture models with an unknown structural parameter. It is shown that the modifi... 详细信息

关键词： mixture model modified likelihood ratio test asymptotic distribution 62F03 62F05

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