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Scaling properties of long-range correlated noisy signals: application to financial markets

机译:远程相关噪声信号的扩展属性:金融市场的应用

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We have reported on the scaling properties of long-range correlated stochastic series y(i) as obtained by the computational procedure recently proposed by us. This procedure makes use of the function DMA defined by the Eq.(3) that exhibits the remarkable properties to vary as a power-law, with exponent H. of the amplitude n of the moving average window. The DMA algorithm has been applied to the German Bobl and Dax future data, sampled every minute. The Bobl future is a derivative of a ten years maturity, 5% coupon German Government security. The Dax Future is the derivative of the main German stock index and thereby represents a measure of expectations of both stock market growth and in general of economic growth in German and generally in the European Union area. The DMA technique has revealed high accuracy and speed of execution.
机译:我们报道了通过我们最近提出的计算程序获得的远程相关随机系列Y(i)的缩放属性。该程序利用由等式的函数DMA使用。(3),它表现出显着的属性,以改变作为动力法的幂律,其幅度N的幅度N. DMA算法已应用于德国BoBl和DAX未来数据,每分钟采样。 Bobl未来是十年成熟的衍生,5%的优惠券德国政府安全。达克斯未来是德国主要股票指数的衍生物,从而表示股市增长和德国经济增长的期望的衡量标准,并且一般在欧盟领域。 DMA技术揭示了高精度和执行速度。

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