Central limit theorems for correlated variables: some critical remarks
AUTOR(ES)
Hilhorst, H. J.
FONTE
Brazilian Journal of Physics
DATA DE PUBLICAÇÃO
2009-08
RESUMO
In this talk I first review at an elementary level a selection of central limit theorems, including some lesser known cases, for sums and maxima of uncorrelated and correlated random variables. I recall why several of them appear in physics. Next, I show that there is room for new versions of central limit theorems applicable to specific classes of problems. Finally, I argue that we have insufficient evidence that, as a consequence of such a theorem, q-Gaussians occupy a special place in statistical physics.
