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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 4

Generalized empirical likelihood inference in partially linear errors-in-variables models with longitudinal data

Liugen XUE
Juanfang LİU
Ruiqin TİAN
Pages
983–1001
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Furthermore, a simulation study is conducted to evaluate the performance of the proposed method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This article is concerned with estimations for longitudinal partial linear models with covariate that is measured with error.
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Key Findings & Data:We propose a generalized empirical likelihood method by combining correction attenuation and quadratic inference functions.
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Conclusion & Impact:Furthermore, a simulation study is conducted to evaluate the performance of the proposed method.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Longitudinal Data · Generalized Empirical Likelihood · Confidence Region

Abstract

This article is concerned with estimations for longitudinal partial linear models with covariate that is measured with error. We propose a generalized empirical likelihood method by combining correction attenuation and quadratic inference functions. The method takes into accountthe within-subject correlation without involving direct estimation of nuisance parameters in the correlation matrix. We define a generalized empirical likelihood-based statistic for the regression coefficients and residual adjusted empirical likelihood for the baseline function. The empirical log-likelihood ratios are proven to be asymptotically chi-squared, and the corresponding confidence regions are then constructed.Compared with methods based on normal approximations, the generalized empirical likelihood does not require consistent estimators forthe asymptotic variance and bias. Furthermore, a simulation study is conducted to evaluate the performance of the proposed method.

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Cite This Article

XUE, L., LİU, J., TİAN, R. (2022). Generalized empirical likelihood inference in partially linear errors-in-variables models with longitudinal data. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 4, 983–1001. https://ajindex.com/articles/529860

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