Weighted entropies

被引：0
|
作者：
Ebanks, Bruce R. [1 ]
机构：
[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2010年 / 8卷 / 03期
关键词：
Entropy; Weighted additivity; System of functional equations; Utility of gambling; Weighted utility; Branching; BRANCHING PROPERTY; UTILITY; REPRESENTATIONS; INFORMATION;
D O I：
10.2478/s11533-010-0026-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present an axiomatic characterization of entropies with properties of branching, continuity, and weighted additivity. We deliberately do not assume that the entropies are symmetric. The resulting entropies are generalizations of the entropies of degree alpha, including the Shannon entropy as the case alpha = 1. Such "weighted" entropies have potential applications to the "utility of gambling" problem.
引用
收藏
页码：602 / 615
页数：14
相关论文
共 50 条
  • [1] Weighted entropies and their estimations
    Nourbakhsh, Mohammadreza
    Yari, Gholamhossein
    Mehrali, Yaser
    [J]. COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2020, 49 (05) : 1142 - 1158
  • [2] On weighted exponential entropies
    Kvälseth, TO
    [J]. PERCEPTUAL AND MOTOR SKILLS, 2001, 92 (01) : 3 - 7
  • [3] Functional Equations for Weighted Entropies
    Bruce Ebanks
    [J]. Results in Mathematics, 2009, 55
  • [4] Basic inequalities for weighted entropies
    Suhov, Yuri
    Stuhl, Izabella
    Sekeh, Salimeh Yasaei
    Kelbert, Mark
    [J]. AEQUATIONES MATHEMATICAE, 2016, 90 (04) : 817 - 848
  • [5] Functional Equations for Weighted Entropies
    Ebanks, Bruce
    [J]. RESULTS IN MATHEMATICS, 2009, 55 (3-4) : 329 - 357
  • [6] Basic inequalities for weighted entropies
    Yuri Suhov
    Izabella Stuhl
    Salimeh Yasaei Sekeh
    Mark Kelbert
    [J]. Aequationes mathematicae, 2016, 90 : 817 - 848
  • [7] Multifractal analysis of weighted local entropies
    Xiang, Shao
    Lu, Rongliang
    Cao, Zhao
    [J]. CHAOS SOLITONS & FRACTALS, 2017, 96 : 1 - 7
  • [8] Weighted Relative Group Entropies and Associated Fisher Metrics
    Hirica, Iulia-Elena
    Pripoae, Cristina-Liliana
    Pripoae, Gabriel-Teodor
    Preda, Vasile
    [J]. ENTROPY, 2022, 24 (01)
  • [9] Generalized weighted survival and failure entropies and their dynamic versions
    Chakraborty, Siddhartha
    Pradhan, Biswabrata
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (03) : 730 - 750
  • [10] Entropies of Weighted Sums in Cyclic Groups and an Application to Polar Codes
    Abbe, Emmanuel
    Li, Jiange
    Madiman, Mokshay
    [J]. ENTROPY, 2017, 19 (09):
12345