Empirical likelihood confidence regions in a partially linear single‐index model

By Lixing Zhu, Liugen Xue. 2006

254 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/8825ce365792756141f304a39dcfa580b05ac5dd

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In Statistics and Probability

Citations in the corpus

Empirical Likelihood Confidence Intervals for Response Mean with Data Missing at Random (2009, methodology): “Some related works include: Chen & Hall (1993), Kitamura (1997), Chen & Sitter (1999), Peng (2004), Wang et al. (2004), Zhu & Xue (2006), Xue & Zhu (2006, 2007a,b), Stute et al. (2007), among others.”
A review on empirical likelihood methods for regression (2009, unknown): “Then, Zhu and Xue (2006) showed that Wilks’ theorem holds, i.e. −2 log R̃n(β(r)0 ) d→ χ2p−1.”
The EFM approach for single-index models (2011, methodology): “This is a commonly used assumption on the index parameter [see Carroll et al. (1997), Zhu and Xue (2006), Lin and Kulasekera (2007)].”
Empirical Likelihood for a Varying Coefficient Model With Longitudinal Data (2007, background): “…Chen (1993, 1994), Chen and Hall (1993), Chen and Qin (1993), Qin (1993), Qin and Lawless (1994), Li (1995), Li, Hollander, and McKeague (1996), Kitamura (1997), Wang and Rao (2002), Wang, Linton, and Härdle (2004), Xue and Zhu (2005, 2006), Zhu and Xue (2006), and Stute, Xue, and Zhu (2007).”
Covariate-adjusted nonlinear regression (2009, background): “This is very different from the existing literatures, because when nonparametric nuisance functions are replaced by plug-in estimators, the limit is often not tractable Chi-squares anymore, unless bias correction is implemented [see, e.g., Xue and Zhu (2007) and Zhu and Xue (2006) for details].”
Estimation for single-index and partially linear single-index integrated models (2016, unknown): “See, for example, Carroll et al. (1997), Xia, Tong and Li (1999), Xia et al. (2002), Yu and Ruppert (2002), Zhu and Xue (2006), Liang et al. (2010), Wang et al. (2010) and Ma and Zhu (2013).”
Empirical likelihood for single-index varying-coefficient models (2012, background): “The related works are Wang and Rao [22], Wang, Linton and Härdle [21], Xue and Zhu [29–31], Zhu and Xue [32], Qin and Zhang [18], Stute, Xue and Zhu [20], Xue [27,28], Wang and Xue [23], among others.”
SIMEX estimation for single-index model with covariate measurement error (2016, methodology): “Xue and Zhu (2006) and Zhu and Xue (2006) proposed the bias-corrected empirical likelihoodmethod to construct the confidence intervals or regions of the parameters of interest.”