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原文連結
論文資訊
- 類型：已發表論文
- 日期：2015-02-01
摘要
We consider correlated random variables X-1,...,X-n taking values in {0,1} such that, for any per突變 pi of {1,...,n}, the random vectors (X-1,...,X-n) and (X-pi(1),...,X-pi(n)) have the same distribution. This distribution, which was introduced by Rodriguez et al. [J. Stat. Mech. 2008, P09006] and then generalized by Hanel et al. [Eur. Phys. J. B 72, 263 (2009)], is scale-invariant and depends on a real parameter nu > 0 (nu -> infinity implies independence). Putting S-n = X-1 + ... + 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 increases, after appropriate 縮放律. In the present article, we show that the distribution of S-n/n converges, as n -> infinity, to a beta distribution with both parameters equal to.. In parti
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