q-exponential fitting for distributions of family names

Physica A: Statistical Mechanics and its Applications

Volumn 387, Issue 7, 2008, Pages 1628-1636

  Yamada, Hiroaki S ^a   Iguchi, Kazumoto ^b  

^a Yamada Physics Research Laboratory   (Japan)

^b KazumotoIguchi Research Laboratory   (Japan)

Author keywords

Family names; q exponential property; Scale free network; Zipf's law

Indexed keywords

FUNCTIONS;

FAMILY NAMES; Q-EXPONENTIAL PROPERTY; SCALE-FREE NETWORK; ZIPF'S LAW;

STATISTICAL MECHANICS;

EID: 37549002153     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2007.11.002     Document Type: Article

References (42)

1. Parete V. Le Cours d'Economie Politique (1897), Macmillan, London
2. Mandelbrot B.B. Fractals and Scaling in Finance (1997), Springer, Berlin
3. Zipf G.K. Human Behavior and the Principle of Least Effort (1949), Addison-Wesley, Reading, MA
4. Ohmori F. J. Coll. Sci. Lmp. Univ. Tokyo 7 (1894) 111
5. Gutenberg B., and Richter C.F. Bull. Seism. Soc. Am. 34 (1944) 185
6. Adamic L.A., and Huberman B.A. Glottometric 3 (2002) 143-150
7. Simon H.A. On a class of skew distribution functions. Biometrika 42 (1955) 425-440
8. Simon H.A. Models of Man (1957), Wiley, New York
9. Sornette D. Phys. Rev. E 57 (1998) 4811
10. P.R. Jelenkovi, J. Tan, Proceedings of Forty-Fourth Annual Allerton Conference, Allerton House, UIUC, Illinois, USA, 27-29 September, 2006
11. Teramoto E. Mathematical Ecology: Suuriseitaigaku (1997), Asakura shoten, Tokyo (in Japanese)
12. Teramoto E. Mathematical Ecology: Suuriseitaigaku. Mathematics of Random phenomena: Random-na-genshou-no-Suugaku (1990), Yoshioka shoten, Kyoto (in Japanese)
13. Reed W.J. Econo. Lett. 74 (2001) 15-19
14. Gabaix X. Quart. J. Econom. 114 (1999) 739-767
15. Bak P., Tang C., and Wiesenfeld K. Phys. Rev. Lett. 59 (1987) 381-384
16. Back P. How Nature Works: The Science of Self-Organized Criticality (1999), Springer-Verlag Telos
17. Albert R., and Barabási A.-L. Rev. Modern Phys. 74 (2002) 47-97
18. Barabási A.-L., and Bonabeau E. Sci. Am. (May) (2003) 60-69
19. Dorogovtsev S.N., and Mendes J.F.F. Evolution of Networks: From Biological Nets to the Internet and WWW (2003), Oxford University Press, NY
20. Boccaletti S., Latora V., Moreno Y., Chavez M., and Hwang D.-U. Phys. Rep. 424 (2006) 175-308
21. Krapivsky P.L., Redner S., and Leyvraz F. Phys. Rev. Lett. 85 (2000) 4629-4632
22. Bornholdt S., and Ebel H. Phys. Rev. E 64 (2001) 035104(R)-1-4
23. Liu Z., Lai Y.-C., and Ye N. Phys. Rev. E 66 (2002) 036112-1-7
24. Tsallis C., Mendes R.S., and Plastino A.R. Physics A 261 (1998) 534
25. In: Abe S., and Okamoto Y. (Eds). Nonextensive Statistical Mechanics and Its Applications (2001), Springer-Verlag, Heidelberg
26. In: Boon J.P., and Tsallis C. (Eds). Overview: nonextensive statistical mechanics: new trends, new perspectives. Europhys. News 6 (2005). http://http:/tsallis.cat.cbpf.br/biblio.htm (special issue). See also a web site, http:/tsallis.cat.cbpf.br/biblio.htm, for the related full bibliography
27. Abe S., and Suzuki N. Europhys. Lett. 65 (2004) 581-586
28. Mantegna R.N., and Stanley H.E. An Introduction to Econophysics: Correlations and Complexity in Finance (1999), Cambridge University Press
29. Queiros S.M.D. Europhys. Lett. 71 (2005) 339. cond-mat/0502337
30. Miyazima S., Lee Y., Nagamine T., and Miyajima H. Physica A 278 (2000) 282-288
31. Zanette D.H., and Manrubia S.C. Physica A 295 (2001) 1
32. Manrubia S.C., and Zanette D.H. J. Theor. Biol. 216 (2002) 461
33. Reed W.J., and Hughes B.D. Physica A 319 (2003) 579-590
34. Kim B.J., and Park S.M. Physica A 347 (2005) 683-694
35. Satou Y., and Seno H. Mathematical Ecology of Conservation and Extinction of Family Names: Sei-no-keisyou-to-Zetumetu-no-Suuriseitaigaku (2003), Kyoto Univ. Press, Kyoto (in Japanese)
36. White D.R., Kejžar N., Tsallis C., Farmer D., and White S. Phys. Rev. E 73 (2006) 016119-1-8. cond-mat/0508028
37. Wilk G. Acta Phys. Pol. B 36 (2005) 2513-2522
38. de Meneses M.D.S., et al. Prog. Theor. Phys. Suppl. 162 (2006) 131-137
39. Press W.H., Teukolsky S.A., Vetterling W.T., and Flannery B.P. Numerical Recipes in Fortran 90: The Art of Parallel Scientific Computing (1996), Cambridge University Press
40. http://www.myj7000.jp-biz.net/, http://www2s.biglobe.ne.jp/suzakihp/index40.html, http://www.census.gov/genealogy/names/dist.all.last, http://www.ssb.no/english/subjects/00/navn-en/etternavn-100.html, http://www.isle-of-man.com/manxnotebook/famhist/fnames/sn1881.htm, http://kosis.nso.go.kr/
41. Song W.G., Zhang H.P., Chen T., and Fan W.C. Fire Safety J. 38 (2003) 453-465
42. Onody R.N., and de Castro P.A. Phys. Rev. E 70 (2004) 037103-1-4