Study on the Influence of Air Pressure and Temperature on PM2.5 by Multivariate Functional Linear Regression Model

J. Wu,R. Weerasinghe,Jinjing Yang,C.-H. Weng

doi:10.1051/e3sconf/202019405009

Abstract

In recent years, the Internet has developed rapidly, and we have more and more ways to collect data. We find that many data have the characteristics of functions. We can use the important method of functional data analysis to analyze these data. The basic idea of functional data analysis is to treat data with functional properties as a whole for analysis and corresponding processing. In this paper, the daily air pressure, temperature and PM2.5 data of 49 cities with serious PM2.5 pollution in 2017 are sorted out. We use a multivariate functional linear regression model to discuss the influence of pressure and temperature on PM2.5 when the number of basis functions is different.

Highlights

The above model can be expressed as followsY (t ) = Z (t ) (t )+ (t )The concept of functional data was first proposed by Ledyard R Tucker in 1958
In 2007, Professor Yan Mingyi introduced this method to China for the first time, and described the functional data analysis method from the aspects of thought, theory and
We use air pressure and temperature as predictor variables, PM2.5 as response variables, and use a multivariate functional linear regression model to study the effect of air pressure and temperature on PM2.5 when the number of basis functions can be different from each other, the relevant conclusions are drawn

Summary

Introduction

The concept of functional data was first proposed by Ledyard R Tucker in 1958. He proposed some methods for determining function parameters in factor analysis in "Parameter Determination of Functional. Ramsay put forward the main views and method systems of functional data analysis in "When the data are functions", and demonstrated some basic theories of. Dt functional data analysis with mathematical knowledge. In 1991, J.O. Ramsay and C.J. Dalzellz formally proposed the concept and system tools of functional data analysis in. In 2007, Professor Yan Mingyi introduced this method to China for the first time, and described the functional data analysis method from the aspects of thought, theory and. Method and application of functional data and principal component analysis method [5-6]

Application of multivariate functional linear regression model

Conclusion