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一种股票价格行为模式的一般化——从布朗运动到分形布朗运动
The Generalization of a Behavior Model of Stock Price ——From Brownian Motion to Fractional Brownian Motion
【摘要】 通过分析布朗运动与分形布朗运动的仿真过程 ,首次提出并论述了分形布朗运动是股价行为的高度逼真。首次提出分形维纳过程的概念并利用它推导出不付红利股票价格所遵循的含有分形维纳过程的微分方程 ,并进行了实例计算。
【Abstract】 With the study of emulation processes of Brownian motion and fractional Brownian motion,for the first time,the idea that fractional Brownian motion is the high fidelity behaviors of stock price is put forward and discussed.The conception of fractional wiener process is also put forward for the first time.Under this conception,the differential equation with fractional wiener process,which the pay no dividend stock price obeys,is expounded.Finally,the example is calculated.
【关键词】 股价行为模式;
布朗运动;
分形布朗运动;
分形维纳过程;
【Key words】 behavior model of stock price; Brownian motion; fractional brownian motion; fractional wiener proces<;
【Key words】 behavior model of stock price; Brownian motion; fractional brownian motion; fractional wiener proces<;
- 【文献出处】 桂林电子工业学院学报 ,Journal of Guilin Institute of Electronic Technology , 编辑部邮箱 ,2000年04期
- 【被引频次】13
- 【下载频次】690