Journal of Guangdong University of Technology ›› 2018, Vol. 35 ›› Issue (05): 26-30.doi: 10.12052/gdutxb.180066

Previous Articles     Next Articles

A Simple Search Algorithm on Conditionally Uncorrelated Volatility Models in Financial Big Data

Bai Jie1, Yao Jia-jing2, Zhang Mao-jun2, Li Qiao-xing3   

  1. 1. Department of Mathematics,Education Institute of Taiyuan University, Taiyuan 030032, China;
    2. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541000, China;
    3. School of Management, Guizhou University, Guiyang 550025, China
  • Received:2018-03-30 Online:2018-07-10 Published:2018-07-18

Abstract: The issue of reduction dimension about the correlation of multivariable financial assets in financial big data is analyzed. A simple search algorithm is developed to compute conditionally uncorrelated volatility models, which greatly improves the speed and precision of the estimation parameters. In order to verify the validity of the algorithm, the conditional uncorrelation between stock market, bond market, fund market, foreign exchange market and futures market is tested. The results show that the algorithm provided is very effective to solve the CUC model, and the correlations between the stock market and the other markets is negative or positive. The research provides a new method for financial big data correlation analysis, which has important theoretical significance and application value.

Key words: conditionally uncorrelated volatility models, financial big data, simple search algorithm

CLC Number: 

  • TP333
[1] ENGLE R F. Autoregressive conditional heteroskedasticity with estimates of the variance of UK inflation[J]. Econometrica, 1982, 50(4):987-1008
[2] BOLLERSLEV T. Generalized autoregressive conditional heteroskedasticity[J]. Journal of Econometrics, 1986, 31(3):307-327
[3] BOLLERSLEV T. Modeling the coherence in short-run nominal exchange rates:a multivariate generalized ARCH model[J]. The Review of Economics and Statistics, 1990, 72(3):498-505
[4] ENGLE R F. Dynamic Conditional correlation:a simple class of multivariate generalized autoregressive conditional heteroskedasticity models[J]. Journal of Business and Economic Statistics, 2002, 20(3):339-350
[5] CREAL D, LUCAS A. A dynamic multivariate heavy-tailed model for time-varying volatilities and correlations[J]. Journal of Business & Economic Statistics, 2011, 29(4):552-563
[6] ZHANG X,CREAL D,KOOPMAN S J, et al. Modeling dynamic volatilities and correlations under skewness and fat tails:2011 Tinbergen Institute Discussion Paper:11-078/2/DSF22[R/OL].(2011-05-11)[2017-12-10].http://dx.doi.org/10.2139/ssrn.1920839
[7] FAN J, WANG M, YAO Q. Modelling multivariate volatilities via conditionally uncorrelated components[J]. Journal of the Royal Statistical Society, 2008, 70(4):679-702
[8] 王明进,陈奇志. 基于独立成分分解的多元波动率模型[J]. 管理科学学报, 2006, 9(5):56-64 WANG M J, CHEN Q Z. Multivariate volatilities modeling based on independent components[J]. Journal of Management Sciences in China, 2006, 9(5):56-64
[9] 孟庆浩,张卫国. 基于ICA的多元金融市场波动溢出及实证研究[J]. 系统工程, 2015, 33(10):115-121 MENG Q H, ZHANG W G. Volatility spillover effect and empirical study on multi-financial markets based on independent component analysis[J]. Systems Engineering, 2015, 33(10):115-121
[10] 赵丽丽,张波. 基于改进ICA模型的高维波动率估计[J]. 数理统计与管理, 2017, 36(1):38-50 ZHAO L L, ZHANG B. Estimation of high dimension volatility based on improved ICA model[J]. Journal of Applied Statistics and Management, 2017, 36(1):38-50
[11] 李桥兴,强保华,杨春燕. 大数据基元的HBase数据库存储模型与实现[J]. 广东工业大学学报, 2014, 31(3):8-13 LI Q X, QIANG B H, YANG C Y. The storage model of big data basic-elements in HBase database and its realization[J]. Journal of Guangdong University of Technology, 2014, 31(3):8-13
No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!