Lotkaian informetrics and applications to social networks

Bulletin of the Belgian Mathematical Society - Simon Stevin

Volumn 16, Issue 4, 2009, Pages 689-703

  Egghe, Leo ^a  

^a HASSELT UNIVERSITY   (Belgium)

Author keywords

Cumulative first citation distribution; Dynamics; Fractal; G index; H index; Hirsch index; Information production process; IPP; Law of lotka; Law of Zipf

Indexed keywords

EID: 73249129514     PISSN: 13701444     EISSN: None     Source Type: Journal    
DOI: 10.36045/bbms/1257776242     Document Type: Article

References (31)

1. E.U. Condon (1928). Statistics of vocabulary. Science 67 (1733), 300.
2. [2] V. Cothey (2007). Applying Egghe's general theory of the evolution of information production processes to the World Wide Web. Proceedings of ISSI 2007 (D. Torres-Salinas and H. Moed, eds.), 231-240, CSIC, Madrid, Spain.
3. L. Egghe (2000). A heuristic study of the first-citation distribution. Scientometrics 48(3), 345-359.
4. L. Egghe (2004). Positive reinforcement and 3-dimensional informetrics. Scientometrics 60(3), 497-509.
5. Correction. Scientometrics 61(2), 283, 2004.
6. L. Egghe (2005a). The power of power laws and the interpretation of Lotkaian informetric systems as self-similar fractals. Journal of the American Society for Information Science and Technology 56(7), 669-675.
7. L. Egghe (2005b). Power Laws in the Information Production Process: Lotkaian Informetrics. Elsevier, Oxford, UK.
8. L. Egghe (2006). Theory and practise of the g-index. Scientometrics 69(1), 131-152.
9. L. Egghe (2007). General evolutionary theory of IPPs and applications to the evolution of networks. Journal of Informetrics 1(2), 115-122.
10. L. Egghe (2008). Examples of simple transformations of the h-index: qualitative and quantitative conclusions and consequences for other indices. Journal of Informetrics 2(2), 136-148.
11. L. Egghe and R. Rousseau (2006a). Systems without low productive sources. Information Processing and Management 42(6), 1428-1442.
12. L. Egghe and R. Rousseau (2006b). An informetric model for the Hirsch- index. Scientometrics 69(1), 121-129.
13. P. Erdös and A. Rényi (1960). On the evolution of random graphs. Publications of the Mathematical Institute of the Hungarian Academy of Sciences, 5, 17-61.
14. J.B. Estoup (1916). Gammes Sténographiques, 4th Edition, Institut Sténographique, Paris.
15. J. Feder (1988). Fractals. Plenum, New York, USA.
16. J.E. Hirsch (2005). An index to quantify an individual's scientific research output. Proceedings of the National Academy of Sciences of the United States of America 102, 16569-16572.
17. W. Hood and C.S. Wilson (2003). Overlap in bibliographic databases. Journal of the American Society for Information Science and Technology 54, 1091- 1103.
18. B. Jin, L. Liang, R. Rousseau and L. Egghe (2007). The R-and AR-indices: complementing the h-index. Chinese Science Bulletin 52(6), 855-863.
19. A.J. Lotka (1926). The frequency distribution of scientific productivity. Journal of the Washington Academy of Sciences 16(12), 317-324.
20. B. Mandelbrot (1967). How long is the coast of Britain ? Statistical self- similarity and fractional dimension. Science 156, 636-638.
21. B. Mandelbrot (1977), The Fractal Geometry of Nature. Freeman, New York, USA.
22. V.M. Motylev (1981). Study into the stochastic process of change in the literature citation pattern and possible approaches to literature obsolescence estimation. International Forum on Information and Documentation 6, 3-21.
23. S. Naranan (1970). Bradford's law of bibliography of science: an interpretation. Nature 227 (5258), 631-632.
24. D. De Solla Price (1976). A general theory of bibliometric and other cumulative advantage processes. Journal of the American Society for Information Science 27, 292-306.
25. F.S. Roberts (1979). Measurement Theory with Applications to Decisionmaking, Utility and the social Sciences. Addison-Wesley, Reading (MA), USA.
26. R. Rousseau (1994). Double exponential models for first-citation processes. Scientometrics 30, 213-227.
27. M. Schreiber (2008a). The influence of self-citation corrections on Egghe's g-index. Scientometrics 76(1), 187-200.
28. M. Schreiber (2008b). An empirical investigation of the g-index for 26 physicists in comparison with the h-index, the A-index, and the R-index. Journal of the American Society for Information Science and Technology 59(9), 1513- 1522.
29. H.A. Simon (1955). On a class of skew distribution functions. Biometrika 42, 425-440.
30. R.S.J. Tol (2008). A rational successive g-index applied to economics departments in Ireland. Journal of Informetrics 2(2), 149-155.
31. G.K. Zipf (1949). Human Behavior and the Principle of least Effort. Addison- Wesley, Cambridge (MA), USA. Reprinted: Hafner, New York, USA, 1965.