Geometry of distributions associated with Tsallis statistics and properties of relative entropy minimization
Geometry of distributions associated with Tsallis statistics and properties of relative entropy minimization
复制标题
DOI：
10.1016/j.physleta.2007.05.104
复制
发表时间：
2007-10-22
影响因子：
2.6
通讯作者：
Ohara, Atsumi
中科院分区：
文献类型：
--
作者：
Ohara, Atsumi
几何方面的Tsallis' nonextensive统计讨论了几何与双a-连接。从而阐明了非延度与曲率的密切关系。作为主要结果，我们研究了归一化q-期望约束下Tsallis相对熵最小化的几个吸引人的性质。(C)2007 Elsevier B. V.保留所有权利。
Geometric aspects of Tsallis' nonextensive statistics are discussed by means of geometry with dual a-connections. Consequently, a close relation with the nonextensivity and curvature is elucidated. As main results we investigate several attractive properties of the minimization of Tsallis relative entropy with normalized q-expectation constraints. (C) 2007 Elsevier B.V. All rights reserved.