Probability distribution and entropy as a measure of uncertainty

Journal of Physics A: Mathematical and Theoretical

Volumn 41, Issue 6, 2008, Pages

  Wang, Qiuping A ^a  

^a Institut Superieur des Materiaux et Mecaniques Avances   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 43049111784     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/6/065004     Document Type: Article

References (29)

1. Esteban M D 1995 Kybernetika 31 337
2. Shannon C E 1948 Bell Syst. Tech. J. 27 379
3. Rényi A 1966 Calcul de probabilite (Dunod: Paris) p 522
4. Wehrl A 1978 Rev. Mod. Phys. 50 221
5. Harvda J and Charvat F 1967 Kybernetika 3 30
6. Daroczy Z 1970 Inform. Control 16 36
7. Tsallis C 1988 J. Stat. Phys. 52 479
8. Kaniadakis G 2000 Phys. Rev. E 296 405
9. Wang Q A and Chaos 2001 Solitons Fractals 12 1431
10. Wang Q A 2003 Entropy 5
11. Uffink J 1995 Can the maximum entropy principle be explained as a consistency requirement Studies Hist. Phil. Mod. Phys. 26B 223-61
12. Jaynes E T 1984 The evolution of Carnot's principle The opening talk at the EMBO Workshop on Maximum Entropy Methods in x-ray Crystallographic and Biological Macromolecule Structure Determination (Orsay, France, April) pp 24-8
13. Gibbs vs Boltzmann entropies 1965 Am. J. Phys. 33 391
14. Ray Smith C, Grandy W T Jr and Reidel D (ed) 1985 Where do we go from here? Maximum Entropy and Bayesian Methods in Inverse Problems (Publishing Company) pp 21-58
15. Balian R and Nauenberg M 2006 Europhys. News 37 9
16. Luzzy R, Vasconcellos A R and Ramos J G 2006 Europhys. News 37 11
17. Nauenberg M 2003 Phys. Rev. E 67 036114
18. Nauenberg M 2004 Phys. Rev. E 69 038102 (Preprint cond-mat/0305365v1)
19. See also the special issue of Comptes Rendus Physique, 7, (2006) and the special issue of Europhysics news, 36/6 (2005)
20. Li W 1992 Random texts exhibit Zipf's-law-like word frequency distribution IEEE Trans. Inform. Theory 38 1842-5
21. Newman M E J 2003 The structure and function of complex networks SIAM Rev. 45 167-256
22. Newman M E J 2005 Power laws, Pareto distributions and Zipf's law Contemp. Phys. 46 323-51
23. Silagadze Z K 1999 Citations and the Zipf-Mandelbrot's law, physics/9901035
24. Terletskii Y P 1971 Statistical Physics (Amsterdam: North-Holland)
25. Nivanen L, Le Méhauté A and Wang Q A 2003 Generalized algebra within a nonextensive statistics Rep. Math. Phys. 52 437
26. Borges E P 2004 A possible deformed algebra and calculus inspired in nonextensive thermostatistics Physica A 340 95
27. Plastino A and Curado E F M 2005 Phys. Rev. E 72 047103
28. Curado E F M and Plastino A 2006 Preprint cond-mat/0601076
29. Curado E F M and Plastino A 2005 Preprint cond-mat/0509070