Why is the detection of q-Gaussian behavior such a common occurrence?

Abstract : 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. (c) 2008 Elsevier B.V. All rights reserved.
Document type :
Journal articles
Complete list of metadatas

https://hal-upec-upem.archives-ouvertes.fr/hal-00693560
Contributor : Christophe Vignat <>
Submitted on : Wednesday, May 2, 2012 - 6:13:46 PM
Last modification on : Wednesday, April 11, 2018 - 12:12:03 PM

Identifiers

Citation

Christophe Vignat, A. Plastino. Why is the detection of q-Gaussian behavior such a common occurrence?. Physica A: Statistical Mechanics and its Applications, Elsevier, 2009, 388 (5), pp.601-608. ⟨10.1016/j.physa.2008.11.001⟩. ⟨hal-00693560⟩

Share

Metrics

Record views

196