ON GENERALIZED CUMULATIVE INFORMATION OF KULLBACK-LEIBLER TYPE

被引：0

作者：

Ciumara, Roxana ^{[1
]}

Panait, Ioana Ileana ^{[2
]}

机构：

[1] Acad Econ Studies Bucharest, Dept Appl Math, Bucharest, Romania

[2] Univ Bucharest, Doctoral Sch Math, Bucharest, Romania

来源：

PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2018年 / 19卷 / 04期

关键词：

entropy; inaccuracy; cumulative Kullback-Leibler information; empirical cumulative Kullback-Leibler information; Tsallis logarithm; ENTROPY;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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

引用

页码：529 / 536

页数：8

共 50 条

[21] On the Kullback-Leibler information of hybrid censored data
Park, Sangun
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2016, 45 (15) : 4486 - 4493
[22] Goodness of fit of the generalized extreme value distribution based on the Kullback-Leibler information
deWaal, DJ
[J]. SOUTH AFRICAN STATISTICAL JOURNAL, 1996, 30 (02) : 139 - 153
[23] Kullback-Leibler Information of Consecutive Order Statistics
Kim, Ilmun
Park, Sangun
[J]. COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS, 2015, 22 (05) : 487 - 494
[24] On censored cumulative residual Kullback-Leibler information and goodness-of-fit test with type II censored data
Park, Sangun
Lim, Johan
[J]. STATISTICAL PAPERS, 2015, 56 (01) : 247 - 256
[25] KULLBACK-LEIBLER AGGREGATION AND MISSPECIFIED GENERALIZED LINEAR MODELS
Rigollet, Philippe
[J]. ANNALS OF STATISTICS, 2012, 40 (02): : 639 - 665
[26] Kullback-Leibler Boosting
Liu, C
Shum, HY
[J]. 2003 IEEE COMPUTER SOCIETY CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION, VOL 1, PROCEEDINGS, 2003, : 587 - 594
[27] A test for fuzzy exponentiality based on Kullback-Leibler information
Kong, Lingtao
[J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2022, 42 (03) : 1281 - 1288
[28] Parameter identifiability with Kullback-Leibler information divergence criterion
Chen, Badong
Hu, Jinchun
Zhu, Yu
Sun, Zengqi
[J]. INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2009, 23 (10) : 940 - 960
[29] Matrix CFAR detectors based on symmetrized Kullback-Leibler and total Kullback-Leibler divergences
Hua, Xiaoqiang
Cheng, Yongqiang
Wang, Hongqiang
Qin, Yuliang
Li, Yubo
Zhang, Wenpeng
[J]. DIGITAL SIGNAL PROCESSING, 2017, 69 : 106 - 116
[30] On the Kullback-Leibler information divergence of locally stationary processes
Dahlhaus, R
[J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1996, 62 (01) : 139 - 168

← 1 2 3 4 5 →