Detecting q-Gaussian distributions and the normalization effect

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dc.creatorVignat, C.
dc.creatorPlastino, A.
dc.date2007-08-22
dc.date.accessioned2026-07-07T08:24:56Z
dc.date.available2026-07-07T08:24:56Z
dc.descriptionWe 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.
dc.description2 figures, 2 tables
dc.identifierhttps://arxiv.org/abs/0708.2973
dc.identifierhttp://arxiv.org/abs/0708.2973
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136511
dc.subjectStatistical Mechanics
dc.titleDetecting q-Gaussian distributions and the normalization effect
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