Generalized partially functional linear model

Weiwei Xiao; Yixuan Wang; Haiyan Liu

doi:10.1038/s41598-021-02896-7

Generalized partially functional linear model

Sci Rep. 2021 Dec 6;11(1):23428. doi: 10.1038/s41598-021-02896-7.

Authors

Weiwei Xiao¹, Yixuan Wang², Haiyan Liu^{3

4}

Affiliations

¹ Department of Mathematics, North China University of Technology, Beijing, 100144, China.
² Department of Mathematics, North China University of Technology, Beijing, 100144, China. 1426044457@qq.com.
³ Department of statistics, University of Leeds, Leeds, LS2 9JT, UK.
⁴ The Alan Turing Institute, London, NW1 2DB, UK.

Abstract

In this paper, a generalized partially functional linear regression model is proposed and the asymptotic property of the proposed estimated coefficients in the model is established. Extensive simulation experiment results are consistent with the theoretical result. Finally, two application examples of the model are given. One is sleep quality study where we studied the effects of heart rate, percentage of sleep time on total sleep in bed, wake after sleep onset and number of wakening during the night on sleep quality in 22 healthy people. The other one is mortality rate where we studied the effects of air quality index, temperature, relative humidity, GDP per capita and the number of beds per thousand people on the mortality rate across 80 major cities in China.

MeSH terms

Air Pollutants / analysis*
Air Pollution / analysis*
Beds
China
Cities
Healthy Volunteers
Humans
Humidity
Linear Models
Male
Models, Theoretical
Quality of Life
Regression Analysis
Sleep / physiology*
Sleep Quality
Social Class
Temperature

Substances

Air Pollutants