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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Why is the detection of q-Gaussian behavior such a common occurrence?
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Why is the detection of q-Gaussian behavior such a common occurrence?

机译：为什么检测q-高斯行为如此常见？

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摘要

q-Gaussian behavior is often encountered in quite distinct settings. A possible explanation is here given with reference to experimental scenarios in which data are gathered using a set-up that performs a normalization preprocessing. We show that the ensuing normalized input, as recorded by the measurement device, will always be q-Gaussian distributed if the incoming data exhibit elliptical symmetry, a rather common feature. Moreover, we find that in these circumstances, the value of the associated parameter q can be deduced from the normalization technique that characterizes the device. Finally, one concludes from the above remarks that great care should be exercised when empirically detecting q-Gaussian behavior. As an example, Gaussian data (the most common situation) will appear, after normalization, in the guise of q-Gaussian records.
机译：q-高斯行为通常在完全不同的环境中遇到。这里参考实验场景给出可能的解释，在实验场景中，使用执行归一化预处理的设置来收集数据。我们表明，如果输入数据表现出椭圆对称性（这是一个相当普遍的特征），那么由测量设备记录的随后的标准化输入将始终是q-Gaussian分布的。此外，我们发现在这些情况下，可以从表征设备的归一化技术中推导出相关参数q的值。最后，从上述评论可以得出结论，当凭经验检测q-高斯行为时，应格外小心。例如，标准化后，高斯数据（最常见的情况）将以q-高斯记录的名义出现。

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