Robust Estimation in Generalized Partial Linear Models for Clustered Data

By Xuming He, Wing Kam Fung, Zhongyi Zhu. 2005

174 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f6db4c0197b86e3294d3b79ae84131b5f5cf7f9d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Chenlei Leng
2. Weiping Zhang
3. Wenyang Zhang
4. Jianhui Zhou
5. Zhongyi Zhu
6. Jianxin Pan
7. Guoyou Qin
8. Lan Xue

In Statistics and Probability

1. Chenlei Leng
2. Jianhui Zhou
3. Lan Wang
4. Weiping Zhang
5. Xuming He
6. Zhongyi Zhu
7. Wenyang Zhang
8. Hua Liang

Citations in the corpus

• Estimation of the covariance matrix of random effects in longitudinal studies (2007, background): “He, Fung and Zhu [13] investigate the robust estimation in generalized partial linear models for longitudinal data.”
• Robust estimation in generalized semiparametric mixed models for longitudinal data (2007, methodology): “Although GPLMMs are widely used in the analysis of clustered data, including longitudinal data or repeated measurements, the study, especially the robust analysis, of GPLMMs has received less attention, possibly due to the increased technical problems imposed by a dependence structure in the data…”
• Estimation and model selection in generalized additive partial linear models for correlated data with diverging number of covariates (2014, background): “Conditions (C5) and (C6) are similar to assumptions (A3) and (A4) in [12], which can be verified for other distributions as well.”
• GEE analysis of clustered binary data with diverging number of covariates (2011, background): “…linear model specification has been investigated by Lin and Carroll (2001a, 2001b), Lin and Ying (2001), He, Zhu and Fung (2002), Fan and Li (2004), Chiou and M¨uller (2005), Wang, Carroll and Lin (2005), Chen and Jin (2006), He, Fung and Zhu (2006) and Huang, Zhang and Zhou (2007), among others.”
• Consistent Model Selection for Marginal Generalized Additive Model for Correlated Data (2010, methodology): “To allow richer and more flexible model structures, the generalized additive model (Hastie and Tibshirani, 1990) takes the additive form of nonparametric functions. This is appealing for both model interpretation and prediction. However, when some of the predictor variables are redundant, traditiona”
• Semiparametric Mean–Covariance Regression Analysis for Longitudinal Data (2009, methodology): “As pointed out by He, Fung, and Zhu (2005), (12) and (13) imply that ∫ (f̂i(t)− fi(t))2 dt = Op(n−2s/(2s+1)), i = 0,1, under some general conditions (Stone 1985, lemmas 8 and 9).”
• Robust estimates in generalized partially linear models (2006, methodology): “A robust generalized estimating equations approach for generalized partially linear models with clustered data, using regression splines and Pearson residuals, is given in [14].”