中图分类号：
62G05
62G20
{{custom_clc.code}}
({{custom_clc.text}})
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] Owen A. Empirical Likelihood. New York:Chapman and Hall, 2001.
[2] 刘强,薛留根,陈放.删失数据下部分线性EV模型中参数的经验似然置信域.数学学报, 2009, 52(3):135-146.(Liu Q, Xue L G, Chen F. Empirical likelihood confidence regions of parameters in a censored partially linear EV model. Acta Mathematica Sinica, 2009, 52(3):135-146.)
[3] Xue L G, Dong X. Empirical likelihood for semiparametric regression model with missing response data. Mathematica Applicata, 2008, 102(4):723-740.
[4] Tang N S, Zhao P X. Empirical likelihood semiparametric nonlinear regression analysis for longitudinal data with responses missing at random. Annals of the Institute of Statistical Mathematics, 2013, 65:639-665.
[5] 丁先文,徐亮,林金官.非线性回归模型的经验似然诊断.应用数学学报, 2012, 35(4):693-702.(Ding X W, Xu L, Lin J G. Diagnostic measures for nonlinear regression models based on empirical likelihood method. Acta Mathematica Applicatae Sinica, 2012, 35(4):693-702.)
[6] 徐亮,丁先文,林金官.基于经验似然的部分线性模型的统计诊断.应用概率统计, 2011, 27(1):91-102.(Xu L, Ding X W, Lin J G. Diagnostic measures for partial linear models based on empirical likelihood method. Chinese Journal of Applied Probability and Statistics, 2011, 27(1):91-102.)
[7] Molanes Lopez E M, Keilegom I V, Veraverbeke N. Empirical likelihood for non-smooth criterion functions. Scandinavian Journal of Statistics, 2009, 36(3):413-432.
[8] Lazar N A. A review of empirical likelihood. Annual Review of Statistics and Its Application, 2021, 8(1):329-344.
[9] Cheng W L, Tang N S. Smoothed empirical likelihood inference for ROC curve in the presence of missing biomarker values. Biometrical Journal, 2020, DOI:10.1002/bimj.201900121.
[10] Huber P. Robust Estimation. New York:John Wiley&Sons, 1981.
[11] Qin G Y, Bai Y, Zhu Z Y. Robust empirical likelihood inference for generalized partial linear models with longitudinal data. Journal of Multivariate Analysis, 2012, 105:32-44.
[12] Qin G Y, Zhu Z Y. Robust estimation in generalized semiparametric mixed models for longitudinal data. Journal of Multivariate Analysis, 2007, 98:1658-1683.
[13] Maronna R A, Martin R D, Yohai V J, et al. Robust Statistics:Theory and Methods (with R). New York:Wiley, 2018.
[14] Wang X Q, Jiang Y L, Huang M, et al. Robust variable selection with exponential squared loss. Journal of the American Statistical Association, 2013, 108(502):632-643.
[15] Jiang Y L, Ji Q H, Xie B J. Robust estimation for the varying coefficient partially nonlinear models. Journal of Computational and Applied Mathematics, 2017, 326:31-43.
[16] Jiang Y L, Tian G L, Fei Y. A robust and efficient estimation method for partially nonlinear models via a new MM algorithm. Statistical Papers, 2019, 60(6):2063-2085.
[17] Song Y Q, Liang X J, Zhu Y J, et al. Robust variable selection with exponential squared loss for the spatial autoregressive model. Computational Statistics&Data Analysis, 2020, DOI:10.1016/j.csda.2020.107094.
[18] Yu P, Zhu Z Y, Zhang Z Z. Robust exponential squared loss-based estimation in semi-functional linear regression models. Computational Statistics, 2018, 34(2):503-525.
[19] Li S M, Wang K N, Ren Y Y. Robust estimation and empirical likelihood inference with exponential squared loss for panel data models. Economics Letters, 2018, 164:19-23.
[20] Jiang Y L, Wang Y G, Fu L Y, et al. Robust estimation using modifed Huber's functions with new tails. Technometrics, 2019, 61(1):111-122.
[21] Cai X, Xue L G, Wang Z L. Robust estimation with modified Huber's function for functional linear models. Statistics:A Journal of Theoretical and Applied Statistics, 2020, 54(6):1276-1286.
[22] Cai X, Xue L G, Lu F. Robust estimation with a modified Huber's loss for partial functional linear models based on splines. Journal of the Korean Statistical Society, 2020, 49(3):1214-1237.
[23] Ma S J. Estimation and inference in functional single-index models. Annals of the Institute of Statistical Mathematics, 2016, 68(1):181-208.
[24] Huang J Z. Local asymptotics for polynomial spline regression. The Annals of Statistics, 2003, 31(5):1600-1635.
[25] Yao W X, Lindsay B G, Li R Z. Local modal regression. Journal of Nonparametric Statistics, 2012, 24(3):647-663.
[26] He X M, Fung W K, Zhu Z Y. Robust estimation in generalized partial linear models for clustered data. Journal of the American Statistical Association, 2005, 100:1176-1184.
[27] Sinha S K. Robust analysis of generalized linear mixed models. Journal of American Statistical Association, 2004, 99(466):451-460.
[28] Hampel F R, Ronchetti E M, Rousseeuw P J, et al. Robust Statistics:The Approach Based on Influence Functions. New York:Wiley, 1986.
[29] Zhao P X, Xue L G. Empirical likelihood inferences for semiparametric varying-coefficient partially linear models with longitudinal data. Communications in Statistics-Theory and Methods, 2010, 39:1898-1914.
[30] Schumaker L L. Spline Functions. New York:Wiley, 1981.
[31] Xue L G, Zhu L X. Empirical likelihood semiparametric regression analysis for longitudinal data. Biometrika, 2007, 94:921-937.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
基金
国家自然科学基金青年项目(11901508)资助课题.
{{custom_fund}}
PDF(533 KB)
