Research On The Strength Of Stock Fund Flows Based On Functional Data Analysis

Functional data analysis is a new type of non-parametric statistical method.The advantage is that by using the analysis idea of turning zero into whole,discrete data can be regarded as an overall function with an inherently unified structure,which overcomes the scourge of traditional statistical analysis.This paper combines functional data analysis methods to study the strength index of stock capital flow in the stock market.This paper does the following research on the strength of stock capital flow based on functional data analysis.First,according to the sum model of the stock capital flow intensity index,an integral model of the stock capital flow intensity index is established.Through comparison,it is found that the integral model can better describe the continuous process of stock transactions,process high-frequency data and have higher calculation accuracy Second,optimize the calculation of the established stock flow intensity integral model: on data preprocessing,combined with the effective market hypothesis,the principle of selecting the number of basis functions for the stock market is proposed,and after verification,the results show that this principle is feasible;In terms of integral calculation,two calculation methods,direct calculation method and basis function expansion method,are proposed and compared.The results show that the basis function expansion method is faster and the calculation accuracy of the integral model is higher;The principal component analysis obtained by the typed principal component analysis is estimated,and the result shows that the estimation error is within 3%;finally,an empirical analysis is performed,twelve stock data is selected,and the stock capital flow intensity index of twelve stocks is calculated based on the integral model,and the relevant Coefficient method and two-step series method two kinds of function cluster analysis Stock capital flow strength index twelve stock analysis showed that the correlation coefficient method is effective for stock-picking strategy.In this paper,the functional data analysis method is used to study the stock capital flow intensity index,the stock capital flow intensity integral model is obtained,and the calculation is optimized.The empirical analysis shows that the stock capital flow intensity integral model obtained by using the functional data analysis method can accurately grasp The economic meaning of the indicator is accurate and fast,and the estimation error is small,which has certain practical value and guiding significance for the stock selection strategy.