基于函数型数据的上证指数预测
Prediction for the Shanghai Stock Index Based on the Functional Data
DOI: 10.12677/AAM.2016.52037, PDF, HTML, XML, 下载: 2,388  浏览: 6,067  科研立项经费支持
作者: 程丽娟:岭南师范学院数学与计算科学学院,广东 湛江
关键词: 函数型数据主成分分析预测Functional Data Principal Component Analysis Forecast
摘要: 在金融数据的研究中,经常遇到函数型数据。主要建立函数型主成分分析的预测模型,分析函数型数据在上证指数预测中的应用,根据函数型数据分析的原理及其求解主成分分析的方法,使用Matlab对上证指数进行预测。
Abstract: In the research of financial data, the functional data are often encountered. In this paper, the pre-diction model of functional principal components analysis is established to forecast the Shanghai Stock Index. Based on the principal component analysis theory and calculation method, the Shanghai Composite Index is forecasted by Matlab.
文章引用:程丽娟. 基于函数型数据的上证指数预测[J]. 应用数学进展, 2016, 5(2): 291-297. http://dx.doi.org/10.12677/AAM.2016.52037

参考文献

[1] Ramsay, J.O. (1982) When the Data Are Functions. Psychometrika, 47, 379-396.
http://dx.doi.org/10.1007/BF02293704
[2] Delicado, P. (2011) Dimensionality Reduction When Data Are Density Functions. Computational Statistics and Data Analysis, 55, 401-420.
http://dx.doi.org/10.1016/j.csda.2010.05.008
[3] 严明义. 季节数据分析: 一种基于数据的函数性视角的分析方法[J]. 当代经济科学, 2007(1): 108-113.
[4] 严明义, 等. 中国消费价格指数季节被动的函数性数据分析[J]. 统计与信息论坛, 2010(8): 100-106.
[5] Mallor, F., Leon, T. and Gaston, M. (2010) Changes in Power Curve Shapes as an Indicator of Fatigue during Dynamic Contractions. Journal of Biomechanics, 43, 1627-1631.
http://dx.doi.org/10.1016/j.jbiomech.2010.01.038
[6] Ramsay, J.O. and Hooker, G. (2009) Functional Data Analysis with R and MATLAB. Springer, New York.
http://dx.doi.org/10.1007/978-0-387-98185-7
[7] Shang, H.L. (2010) Nonparametric Modeling and Forecasting Electricity Demand: An Empirical Study. Working Paper.
[8] Berrendero, J.R. (2011) Principal Components for Multivariate Functional Data. Computational Statistics and Data Analysis, 55, 2619-2634.
http://dx.doi.org/10.1016/j.csda.2011.03.011