Empirical likelihood for nonlinear regression models with nonignorable missing responses

2020 ◽  
Vol 48 (3) ◽  
pp. 386-416
Author(s):  
Zhihuang Yang ◽  
Niansheng Tang
Keyword(s):  
Empirical Likelihood ◽  
Nonlinear Regression ◽  
Regression Models ◽  
Nonlinear Regression Models ◽  
Missing Responses ◽  
Nonignorable Missing

scholarly journals Robust Estimation and Tests for Parameters of Some Nonlinear Regression Models

Mathematics ◽  
2021 ◽  
Vol 9 (6) ◽  
pp. 599
Author(s):  
Pengfei Liu ◽  
Mengchen Zhang ◽  
Ru Zhang ◽  
Qin Zhou
Keyword(s):  
Asymptotic Normality ◽  
Robust Estimation ◽  
Empirical Likelihood ◽  
Nonlinear Regression ◽  
Regression Models ◽  
Nonlinear Least Squares ◽  
Likelihood Method ◽  
Nonlinear Regression Models ◽  
Simulation Performance ◽  
Consistency And Asymptotic Normality

This paper uses the median-of-means (MOM) method to estimate the parameters of the nonlinear regression models and proves the consistency and asymptotic normality of the MOM estimator. Especially when there are outliers, the MOM estimator is more robust than nonlinear least squares (NLS) estimator and empirical likelihood (EL) estimator. On this basis, we propose hypothesis testing Statistics for the parameters of the nonlinear regression models using empirical likelihood method, and the simulation performance shows the superiority of MOM estimator. We apply the MOM method to analyze the top 50 data of GDP of China in 2019. The result shows that MOM method is more feasible than NLS estimator and EL estimator.

Nonlinear regression models for correlated count data

1992 ◽  
Vol 3 (2) ◽  
pp. 211-222 ◽  
Author(s):  
R. T. Burnett ◽  
J. Shedden ◽  
D. Krewski
Keyword(s):  
Nonlinear Regression ◽  
Count Data ◽  
Regression Models ◽  
Nonlinear Regression Models

Homogeneity diagnostics for skew-normal nonlinear regression models

2009 ◽  
Vol 79 (6) ◽  
pp. 821-827 ◽  
Author(s):  
Feng-Chang Xie ◽  
Bo-Cheng Wei ◽  
Jin-Guan Lin
Keyword(s):  
Nonlinear Regression ◽  
Regression Models ◽  
Nonlinear Regression Models ◽  
Skew Normal
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