On generalized cumulative information of Kuliback-Leibler type

Proceedings of the Romanian Academy Series A-Mathematics Physics Technical Sciences Information Science

Roxana CIUMARA¹ 

关键词: entropy;    inaccuracy;    cumulative Kullback-Leibler information;    empirical cumulative;    Kullback-Leibler information;    Tsallis logarithm.;   

DOI  :  

学科分类：计算机科学（综合）

来源: Editura Academiei Romane

【 摘 要 】

In this paper generalized versions of the empirical cumulative Kullback-Leiblerinformation are introduced, together with their alternative representations. The generalization refers toboth application of a weight function and the use of Tsallis extended logarithm in the originalKullback-Leibler information measure. The original measure was extensively studied in severalpapers. The first information measure proposed in this paper is the weighted version of the originalKullback-Leibler information, the second one implies the use of Tsallis extended logarithm, while thethird one, combines the first and second. Some properties of the new measures are also discussed.

【 授权许可】

Unknown