Geometry of the Central Limit Theorem in the Nonextensive Case

Details Geometry of the Central Limit Theorem in the Nonextensive Case Geometry of the Central Limit Theorem in the Nonextensive Case

2009-01-29

arxiv.org/abs/0901.4621v1

Physics

Condensed Matter

Statistical Mechanics

3 figures

Scientific paper

10.1016/j.physleta.2009.03.029

We uncover geometric aspects that underlie the sum of two independent
stochastic variables when both are governed by q-Gaussian probability
distributions. The pertinent discussion is given in terms of random vectors
uniformly distributed on a p-sphere.

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