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原文連結
論文資訊
- 類型：已發表論文
- 日期：2022-09-02
摘要
Limit distributions are not limited to uncorrelated variables but can be constructively derived for a large class of correlated random variables, as was shown e. g。在大偏差理論 [1] 的背景下，以及最近 Hilhorst 和 Schehr [2] 在一個非常普遍的背景下。 At the same time it has been conjectured, based on numerical evidence, that several limit distributions originating from specific correlated random processes follow q-Gaussians.可以證明，對於其中一些情況並非如此，並且需要更複雜的極限分佈。 In this work we show the derivation of the analytical form of entropy which -under the maximum entropy principle, imposing ordinary constraints- provides exactly these limit distributions.這是一個具體的例子，更說明了除了 q 統計之外的一般性。