Estimation of the error distribution function for partial linear single-index models

2018 ◽  
Vol 49 (1) ◽  
pp. 29-44 ◽  
Author(s):  
Jun Zhang ◽  
Cuizhen Niu ◽  
Tao Lu ◽  
Zhenghong Wei
Keyword(s):  
Distribution Function ◽  
Error Distribution ◽  
Single Index ◽  
Single Index Models ◽  
Partial Linear

Estimating the conditional single-index error distribution with a partial linear mean regression

Test ◽  
2014 ◽  
Vol 24 (1) ◽  
pp. 61-83 ◽  
Author(s):  
Jun Zhang ◽  
Zhenghui Feng ◽  
Peirong Xu
Keyword(s):  
Error Distribution ◽  
Single Index ◽  
Partial Linear

Partial linear single index models with distortion measurement errors

2012 ◽  
Vol 65 (2) ◽  
pp. 237-267 ◽  
Author(s):  
Jun Zhang ◽  
Yao Yu ◽  
Li-Xing Zhu ◽  
Hua Liang
Keyword(s):  
Measurement Errors ◽  
Single Index ◽  
Single Index Models ◽  
Partial Linear

Estimation and variable selection in partial linear single index models with error-prone linear covariates

Statistics ◽  
2013 ◽  
Vol 48 (5) ◽  
pp. 1048-1070 ◽  
Author(s):  
Jun Zhang ◽  
Xiaoguang Wang ◽  
Yao Yu ◽  
Yujie Gai
Keyword(s):  
Variable Selection ◽  
Single Index ◽  
Single Index Models ◽  
Partial Linear

scholarly journals Linearity Identification for General Partial Linear Single-Index Models

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
Shaogao Lv ◽  
Luhong Wang
Keyword(s):  
Linear Models ◽  
Identification Problem ◽  
Structure Identification ◽  
Regularity Conditions ◽  
Complex Data ◽  
Single Index ◽  
Single Index Models ◽  
Partial Linear ◽  
Partial Linear Models ◽  
Nonlinear Components

Partial linear models, a family of popular semiparametric models, provide us with an interpretable and flexible assumption for modelling complex data. One challenging question in partial linear models is the structure identification for the linear components and the nonlinear components, especially for high dimensional data. This paper considers the structure identification problem in the general partial linear single-index models, where the link function is unknown. We propose two penalized methods based on a modern dimension reduction technique. Under certain regularity conditions, we show that the second estimator is able to identify the underlying true model structure correctly. The convergence rate of the new estimator is established as well.

Estimation for biased partial linear single index models

2019 ◽  
Vol 139 ◽  
pp. 1-13 ◽  
Author(s):  
Jun Lu ◽  
Xuehu Zhu ◽  
Lu Lin ◽  
Lixing Zhu
Keyword(s):  
Single Index ◽  
Single Index Models ◽  
Partial Linear

Nonlinear profile monitoring with single index models

2020 ◽  
Author(s):  
Takayuki Iguchi ◽  
Andrés F. Barrientos ◽  
Eric Chicken ◽  
Debajyoti Sinha
Keyword(s):  
Profile Monitoring ◽  
Single Index ◽  
Single Index Models
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