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一个揭示金融市场非线性与混沌现象的综合框架:四大股票市场指数的实证证据

A Comprehensive Framework for Uncovering Non-Linearity and Chaos in Financial Markets: Empirical Evidence for Four Major Stock Market Indices.

作者信息

Inglada-Perez Lucia

机构信息

Department of Statistics and Operational Research, Complutense University, Plaza Ramón y Cajal, s/n Ciudad Universitaria, 28040 Madrid, Spain.

出版信息

Entropy (Basel). 2020 Dec 18;22(12):1435. doi: 10.3390/e22121435.

Abstract

The presence of chaos in the financial markets has been the subject of a great number of studies, but the results have been contradictory and inconclusive. This research tests for the existence of nonlinear patterns and chaotic nature in four major stock market indices: namely Dow Jones Industrial Average, Ibex 35, Nasdaq-100 and Nikkei 225. To this end, a comprehensive framework has been adopted encompassing a wide range of techniques and the most suitable methods for the analysis of noisy time series. By using daily closing values from January 1992 to July 2013, this study employs twelve techniques and tools of which five are specific to detecting chaos. The findings show no clear evidence of chaos, suggesting that the behavior of financial markets is nonlinear and stochastic.

摘要

金融市场中混沌现象的存在一直是大量研究的主题,但结果相互矛盾且尚无定论。本研究对四个主要股票市场指数,即道琼斯工业平均指数、西班牙IBEX 35指数、纳斯达克100指数和日经225指数中的非线性模式和混沌性质进行了检验。为此,采用了一个综合框架,涵盖了广泛的技术以及分析噪声时间序列的最合适方法。通过使用1992年1月至2013年7月的日收盘价,本研究采用了十二种技术和工具,其中五种专门用于检测混沌。研究结果并未显示出明显的混沌证据,这表明金融市场的行为是非线性且随机的。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bd9c/7767038/e7692cfe0428/entropy-22-01435-g001.jpg

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