A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2015; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Convergence of the probability of large deviations in a model of correlated random variables having compact-supportQ-Gaussians as limiting distributions

2015
*
Journal of Mathematical Physics
*

We consider correlated random variables X_1,...,X_n taking values in {0,1} such that, for any permutation π of {1,...,n}, the random vectors (X_1,...,X_n) and (X_π(1),...,X_π(n)) have the same distribution. This distribution, which was introduced by Rodríguez et al (2008) and then generalized by Hanel et al (2009), is scale-invariant and depends on a real parameter ν>0 (ν→∞ implies independence). Putting S_n=X_1+...+X_n, the distribution of S_n-n/2 approaches a Q-Gaussian distribution with

doi:10.1063/1.4908108
fatcat:5y6gnmlrpnejnimvbdx4qtj5im