Research And Application Of Functional Data Analysis

With the development of technology,it is more convenient to collect data from all walks of life.At the same time,we also find that the raw data obtained often presents a form of function,and functional data analysis is the analysis of such data.A method that currently has good development and application prospects in economics,meteorology,psychology,medicine,etc.It is the essence of functional data analysis to select the corresponding basis function to fit the discrete data to get the corresponding function expression.Then the feature is analyzed and the corresponding model is established.In meteorology,the data collected on the content of some elements in the atmosphere has the characteristics of functional data,thus the functional data analysis method for the collected six cities in 2017 every day pm2.5,pm10,ozone and temperature The data were subjected to data fitting processing and pm2.5 as the response variable,pm 10,ozone,and temperature were used to predict the variables to establish a linear functional regression analysis and a multivariate functional linear regression analysis to analyze pm2.5 and pm 10,ozone,and temperature.The relationship between the people,and thus some suggestions for the governance of air pollution.