论文标题

具有内部自由度的移动平均水平

On a Moving Average with Internal Degrees of Freedom

论文作者

Boudjemila, Linda, Bobyl, Alexander, Davydov, Vadim, Malyshkin, Vladislav

论文摘要

开发了一种新型的移动平均值。尽管常规的移动平均值(例如价格)具有内置的内部时间尺度(时间窗口,指数重量等),但本文开发的移动平均值的权重是按窗口因子的多项式的产物。多项式是从与其他可观察到的特征问题获得的波函数的平方(例如,执行流i = dv/dt,每单位时间交易的股票数)。这允许立即获得即时的“开关”,而无需限制常规移动平均线。

A new type of moving average is developed. Whereas a regular moving average (e.g. of price) has a built-in internal time scale (time-window, exponential weight, etc.), the moving average developed in this paper has the weight as the product of a polynomial by window factor. The polynomial is the square of a wavefunction obtained from an eigenproblem corresponding to other observable (e.g. execution flow I=dV/dt , the number of shares traded per unit time). This allows to obtain an immediate "switch" without lagging typical for regular moving average.

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