{"paper":{"title":"Convergence of the probability of large deviations in a model of correlated random variables having compact-support $Q$-Gaussians as limiting distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Constantino Tsallis, Max Jauregui","submitted_at":"2014-06-27T22:15:03Z","abstract_excerpt":"We consider correlated random variables $X_1,\\dots,X_n$ taking values in $\\{0,1\\}$ such that, for any permutation $\\pi$ of $\\{1,\\dots,n\\}$, the random vectors $(X_1,\\dots,X_n)$ and $(X_{\\pi(1)},\\dots,X_{\\pi(n)})$ have the same distribution. This distribution, which was introduced by Rodr\\'iguez et al (2008) and then generalized by Hanel et al (2009), is scale-invariant and depends on a real parameter $\\nu>0$ ($\\nu\\to\\infty$ implies independence). Putting $S_n=X_1+\\cdots+X_n$, the distribution of $S_n-n/2$ approaches a $Q$-Gaussian distribution with compact support ($Q=1-1/(\\nu-1)<1$) as $n$ in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7327","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}