Academic Journal

Generalized Partially Functional Linear Model with Interaction between Functional Predictors

التفاصيل البيبلوغرافية
العنوان: Generalized Partially Functional Linear Model with Interaction between Functional Predictors
المؤلفون: Weiwei Xiao, Kejing Mao, Haiyan Liu
المصدر: Axioms, Vol 13, Iss 9, p 583 (2024)
بيانات النشر: MDPI AG, 2024.
سنة النشر: 2024
المجموعة: LCC:Mathematics
مصطلحات موضوعية: functional data analysis, generalized functional linear model, interaction term, cancer incidence, Mathematics, QA1-939
الوصف: This paper proposes a generalized partially functional linear model with interaction terms. It is suitable for cases where the response variable is scalar, and the predictor variables include a mix of functional and scalar types, while considering the correlations among functional predictor variables. The model uses principal component analysis for dimensionality reduction, employs maximum likelihood estimation to obtain parameter values, proves the asymptotic properties of the estimates, and validates the model’s accuracy through data simulation experiments. Finally, the proposed model was applied to investigate the influence of air quality, climate factors, and medical and social indicators, along with their interactions, on cancer incidence, which is a binary response.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2075-1680
Relation: https://www.mdpi.com/2075-1680/13/9/583; https://doaj.org/toc/2075-1680
DOI: 10.3390/axioms13090583
URL الوصول: https://doaj.org/article/ced6ee8c9aed46a295dfe09ace2802f4
رقم الانضمام: edsdoj.6ee8c9aed46a295dfe09ace2802f4
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:20751680
DOI:10.3390/axioms13090583