论文标题
新的强力尾部分布以$κ$统计量出现
New power-law tailed distributions emerging in $κ$-statistics
论文作者
论文摘要
在过去的二十年中，有人认为，洛伦兹的转化机制将牛顿的经典力学概括为爱因斯坦的特殊相对论，暗示着普通统计力学的概括或变形。定义玻尔兹曼因子的指数函数在这种形式主义中正确变形。从此，我们引入了所谓的$κ$指数函数，我们引入了新的统计分布类别，作为$κ$成型的已知分布的$κ$定型版本，即已知的广义伽玛（Weibull），weibull，weibull，可以在展示义师尾巴的统计数据分析中采用。
Over the last two decades, it has been argued that the Lorentz transformation mechanism, which imposes the generalization of Newton's classical mechanics into Einstein's special relativity, implies a generalization, or deformation, of the ordinary statistical mechanics. The exponential function, which defines the Boltzmann's factor, emerges properly deformed within this formalism. Starting from this, so-called $κ$-deformed exponential function, we introduce new classes of statistical distributions emerging as the $κ$-deformed version of already known distribution as the Generalized Gamma, Weibull, Logistic which can be adopted in the analysis of statistical data that exhibit power-law tails.
