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Interpretation of the nonextensitivity parameter $q$ in some applications of Tsallis statistics and L\'evy distributions

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arxiv hep-ph/9908459 v2 pith:M5IV7MQK submitted 1999-08-25 hep-ph cond-mat.stat-mechnucl-th

classification hep-phcond-mat.stat-mechnucl-th
keywords applicationsdistributionnonextensitivityparametersomestatisticstsalliscase
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abstract

The nonextensitivity parameter $q$ occuring in some of the applications of Tsallis statistics (known also as index of the corresponding L\'evy distribution) is shown to be given, in $q>1$ case, entirely by the fluctuations of the parameters of the usual exponential distribution.

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Cited by 5 Pith papers

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    Individual Tsallis fits to ALICE Pb-Pb 2.76 TeV pion, kaon, and proton spectra give effective temperatures and freezeout volumes that rise toward central collisions while the nonextensivity parameter q falls, a patter...

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