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Journals / Hacettepe Journal of Mathematics and Statistics / 2018 / Cilt: 47 - Sayı: 4

Identification and estimation for generalized varying coefficient partially linear models

Muhammad AMİN
Mingqiu WANG
Xiuli WANG
Pages
1041–1060
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Simulation studies and a real data application are conducted to assess the infinite sample performance of the proposed method.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The generalized varying coefficient partially linear model (GVCPLM) enjoys the flexibility of the generalized varying coefficient model and the parsimony and interpretability of the generalized linear model.
📊
Key Findings & Data:This is proved that the proposed method can consistently determine the structure of the GVCPLM under certain conditions, which means that it can accurately choose the varying and constant coefficients precisely.
💡
Conclusion & Impact:Simulation studies and a real data application are conducted to assess the infinite sample performance of the proposed method.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Group variable selection · Group SCAD · Selection consistency

Abstract

The generalized varying coefficient partially linear model (GVCPLM) enjoys the flexibility of the generalized varying coefficient model and the parsimony and interpretability of the generalized linear model. Statistical inference of GVCPLM is restricted with a condition that the components of varying and constant coefficients are known in advance. Alternatively, the current study is focused on the structure's identification of varying and constant coefficient for GVCPLM and it is based on the spline basis approximation and the group SCAD. This is proved that the proposed method can consistently determine the structure of the GVCPLM under certain conditions, which means that it can accurately choose the varying and constant coefficients precisely. Simulation studies and a real data application are conducted to assess the infinite sample performance of the proposed method.

🔖

Cite This Article

AMİN, M., WANG, M., WANG, X. (2022). Identification and estimation for generalized varying coefficient partially linear models. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 4, 1041–1060. https://ajindex.com/articles/529813

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