Year: 2007
Type: preprint
Abstract: We show that whenever data are gathered using a device that performs a normalization-preprocessing, the ensuing normalized input, as recorded by the measurement device, will always be q-Gaussian distributed if the incoming data exhibit elliptical symmetry. As a consequence, great care should be exercised when detecting q-Gaussians. As an example, Gaussian data will appear, after normalization, in the guise of q-Gaussian records. Moreover, we show that the value of the resulting parameter q can be deduced from the normalization technique that characterizes the device.
Source: arXiv (Cornell University)
Authors: Vignat, C., Plastino, A.
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1643046052