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灰色—马尔可夫链模型在股市预测中的应用

he Application in the Prediction of Stock Market based on Gray Markov Chain Model

中文摘要英文摘要

根据灰色预测模型和马尔可夫预测思想,将灰色GM(1,1)预测模型结合马尔可夫链状态转移,阐述灰色—马尔可夫链模型原理并将此模型应用到股市预测上。用GM(1,1)预测具有良好的精确性和规律性,但对于随机波动性较大的股市行业,它的预测精度比较低,而马尔可夫模型可以克服波动性较大的局限性,弥补灰色模型的不足,因此将两者结合起来对股市进行预测将能提高预测的精度。并依据深交所20个月末收盘指数预测后四个月的月末收盘指数范围,实证分析表明灰色马尔可夫链模型在股市预测中应用的可行性。

Based on gray prediction model and Markov chain prediction theory, gray prediction model is combined with Markov chain-state transition and the theory of gray-Markov chain prediction model is expounded and applied to the prediction of stock market. Using GM(1,1) model to predict has good accuracy and regularity, but to the stock market with large random fluctuation, its accuracy is lower. Markov model can overcome this defection, so combining GM(1,1) with Markov chain model to predict stock market can improve the precision of prediction. Based on the indexes ended in the twenty months in Shenzhen Stock Exchange , the range of the index in the end of next four months was predicted, and example is given to prove its reliability in the application in the prediction of stock market.

王礼霞

财政、金融数学计算技术、计算机技术

灰色系统马尔可夫链状态转移月末收盘指数预测

Gray systemMarkov chainState transitionThe index of market close in the end of monthpredict

王礼霞.灰色—马尔可夫链模型在股市预测中的应用[EB/OL].(2008-11-07)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200811-203.点此复制

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