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arXiv · 2101.08984

Analysis of stock index with a generalized BN-S model: an approach based on machine learning and fuzzy parameters

Xianfei Hui·Baiqing Sun·Hui Jiang·Indranil SenGupta
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Abstract

In this paper we implement a combination of data-science and fuzzy theory to improve the classical Barndorff-Nielsen and Shephard model, and implement this to analyze the S&P 500 index. We pre-process the index data based on fuzzy theory. After that, S&P 500 stock index data for the past ten years are analyzed, and a deterministic parameter is extracted using various machine and deep learning methods. The results show that the new model, where fuzzy parameters are incorporated, can incorporate the long-term dependence in the classical Barndorff-Nielsen and Shephard model. The modification is based on only a few changes compared to the classical model. At the same time, the resulting analysis effectively captures the stochastic dynamics of the stock index time series.

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Xianfei Hui, Baiqing Sun, Hui Jiang, Indranil SenGupta. 2021-01-22. Analysis of stock index with a generalized BN-S model: an approach based on machine learning and fuzzy parameters. https://arxiv.org/abs/2101.08984

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