Tail universalities in rank distributions as an algebraic problem: The beta-like function

Physica A: Statistical Mechanics and its Applications

Volumn 387, Issue 1, 2008, Pages 84-96

  Naumis, G G ^a   Cocho, G ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Multiplicative processes; Power law distribution; Ranking distributions; Zipf law

Indexed keywords

ALGEBRA; DISTRIBUTION FUNCTIONS; ECONOMIC ANALYSIS; GEOPHYSICS; GRANULAR MATERIALS;

MULTIPLICATIVE PROCESSES; POWER LAW DISTRIBUTION; RANKING DISTRIBUTIONS; ZIPF LAW;

PROBLEM SOLVING;

EID: 35748934156     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.08.002     Document Type: Article

References (24)

1. Mantegna R.N., Buldyrev S.V., Goldberger A.L., Havlin S., Peng C.K., Simons M., and Stanley H.E. Phys. Rev. Lett. 73 (1994) 3169
2. Manrubia S.C., and Zanette D.H. Phys. Rev. E 59 (1999) 4945
3. W. Li, Phys. Rev. E 43 (1991) 5240;
4. W. Li, 〈http://www.nslij-genetics.org/wli/zipf/〉, 2003.
5. Bretz M., Zaretzki R., Field S.B., Mitarai N., and Nori F. Europhys. Lett. 74 (2006) 1116
6. Audi G., Bersillon O., Blachot J., and Wapstra A.H. Nucl. Phys. A 624 (1997) 124
7. Fortunato S., Flammini A., and Menczer F. Phys. Rev. Lett. 96 (2006) 218701
8. Yang A.C.C., Hseu S.S., Yien H.W., Goldberger A.L., and Peng C.K. Phys. Rev. Lett. 90 (2003) 108103
9. Jeong H., Tombor B., Albert R., Oltvai Z.N., and Barabasi A.L. Nature 407 (2000) 651
10. H. Le Quan, E.I. Sicilia-García, J. Minj, F.J. Smith, Proceedings of the 17th International Conference on Computer Lingustics, Montreal, 2002.
11. Laherrere J., and Sornette D. Eur. Phys. J. B 2 (1998) 525
12. Montroll E.W., and Shlesinger M.F. J. Stat. Phys. 32 (1983) 209
13. Kolmogorov A.N. Dokl. Akad. Nauk SSSR 30 (1941) 299 (reprinted in Proc. R. Soc. London A 434 (1991) 9)
14. Kolmogorov A.N. Dokl. Akad. Nauk SSSR 32 (1941) 16 (reprinted in Proc. R. Soc. London A 434 (1991) 15)
15. Kolmogorov A. J. Fluid. Mech. 13 (1962) 82
16. Warhaft Z. Annu. Rev. Fluid Mech. 32 (2000) 203
17. Moyano L.G., Tsallis C., and Gell-Mann M. Europhys. Lett. 72 (2006) 355
18. Marsh J.A., Fuentes M.A., Moyano L.G., and Tsallis C. Physica A 372 (2006) 183
19. Popescu I. Glottometrics 6 (2003) 83
20. Codon Usage Database, NCBI-GenBank 〈http://www.kazuza.or.jp/codon〉.
21. G. Cocho, G. Martínez-Mekler, submitted for publication.
22. M. Beltran, G. Cocho, G. Naumis, submitted for publication.
23. Rose C., Murray D., and Smith D. Mathematical Statistics with Mathematica (2002), Springer, New York p. 107
24. Mansilla R., and Cocho G. Complex Syst. 12 (2000) 207