Modeling the probabilistic distribution of the impact factor

Journal of Informetrics

Volumn 6, Issue 1, 2012, Pages 66-79

  Sarabia, José María ^a   Prieto, Faustino ^a   Trueba, Carmen ^a  

^a UNIVERSITY OF CANTABRIA   (Spain)

Author keywords

Gini index; Impact factor; Least squares estimates; Lorenz andLeimkuhler curves; Moments; Quantile function

Indexed keywords

EID: 80054976000     PISSN: 17511577     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.joi.2011.09.005     Document Type: Article

References (37)

1. Arnold B.C. Pareto distributions 1983, International Co-operative Publishing House, Fairland, MD.
2. Arnold B.C., Balakrishnan N., Nagaraja H.N. A first course in order statistics 1992, John Wiley, New York.
3. Balakrishnan N., Nevzorov V.B. A Primer on Statistical Distributions 2003, John Wiley, New York.
4. Balakrishnan N., Sarabia J.M., Kolev N. A simple relation between the Leimkuhler curve and the mean residual life. Journal of Informetrics 2010, 4:602-607.
5. Burrell Q.L. On Egghe's version of continuous concentration theory. Journal of the American Society for Information Science and Technology 2006, 57:1406-1411.
6. Burrell Q.L. Egghe's construction of Lorenz curves resolved. Journal of the American Society for Information Science and Technology 2007, 58:2157-2159.
7. Burrell Q.L. Extending Lotkaian informetrics. Information Processing and Management 2008, 44:1794-1807.
8. Campanario J.M. Distribution of ranks of articles and citations in journals. Journal of the American Society for Information Science and Technology 2010, 61:419-423.
9. Campanario J.M. Distribution of changes in impact factors over time. Scientometrics 2010, 84:35-42.
10. David H.A., Nagaraja H.N. Order statistics 2003, John Wiley, New York.
11. Egghe L. The duality of informetric systems with applications to the empirical law. Journal of Information Science 1990, 16:17-25.
12. Egghe L. Construction of concentration measures for general Lorenz curves using Riemann-Stieltjes integrals. Mathematical and Computer Modelling 2002, 35:1149-1163.
13. Egghe L. Power laws in the information production process: Lotkaian informetrics 2005, Elsevier, Oxford, England.
14. Egghe L. Zipfian and Lotkaian continuous concentration theory. Journal of the American Society for Information Science and Technology 2005, 56:935-945.
15. Egghe L. Mathematical derivation of the impact factor distribution. Journal of Informetrics 2009, 3:290-295.
16. Egghe L., Rousseau R. Classical retrieval and overlap measures satisfy the requirements for rankings based on a Lorenz curve. Information Processing and Management 2006, 42:106-120.
17. Egghe L., Waltman L. Relations between the shape of a size-frequency distribution and the shape of a rank-frequency distribution. Information Processing and Management 2011, 47:238-245.
18. Fisk P.R. The graduation of income distributions. Econometrica 1961, 29:171-185.
19. Gastwirth J.L. A general definition of the Lorenz curve. Econometrica 1971, 39:1037-1039.
20. Gilchrist W.G. Statistical modelling with quantile functions 2000, Chapman and Hall, CRC, Florida.
21. Hankin R.K.S., Lee A. A new family of non-negative distributions. Australian and New Zealand Journal of Statistics 2006, 48:67-78.
22. Kleiber C., Kotz S. Statistical size distributions in economics and actuarial sciences 2003, John Wiley and Sons, New York.
23. Lavalette, D. (1996). Facteur d'impact: Impartialité ou impuissance? Report, INSERM U350., 91405 Orsay, France: Institut Curie-Recherche, Bhatat. 112, Centre Universitaire.
24. Li W., Miramontes P., Cocho G. Fitting ranked linguistic data with two-parameter functions. Entropy 2010, 12:1743-1764.
25. Mansilla R., Köppen E., Cocho G., Miramontes P. On the behavior of journal impact factor rank-order distribution. Journal of Informetrics 2007, 1:155-160.
26. Manoukian E.B. Modern Concepts and Theorems of Mathematical Statistics 1986, Springer-Verlag, New York.
27. Martínez-Mekler G., Alvarez R., Beltrán del Río M., Mansilla R., Miramontes P., Cocho G. Universality of rank-ordering distributions in the arts and sciences. Plos One 2009, 4:1-7.
28. Mishra, S.K. (2010). A note on empirical sample distribution of journal impact factors in major discipline groups. Available from SSRN: http://ssrn.com/abstract=1552723.
29. Moors J.J.A. A quantile alternative for kurtosis. The Statistician 1998, 37:25-32.
30. Popescu I. On a Zipf law extension to impact factors. Glottometrics 2003, 6:83-93.
31. Rousseau R. On Egghe's construction of Lorenz curves. Journal of the American Society for Information Science and Technology 2007, 58:1551-1552.
32. Ryu H.K., Slottje D.J. Parametric approximations of the Lorenz Curve. Handbook on income inequality measurement 1999, 291-314. Kluwer, Boston. J. Silber (Ed.).
33. Sarabia J.M. A general definition of the Leimkuhler curve. Journal of Informetrics 2008, 2:156-163.
34. Sarabia J.M., Castillo E., Slottje D.J. An ordered family of Lorenz curves. Journal of Econometrics 1999, 91:43-60.
35. Sarabia J.M., Gómez-Déniz E., Sarabia M., Prieto F. A general method for generating Lorenz and Leimkuhler curves. Journal of Informetrics 2010, 4:524-539.
36. Sarabia J.M., Sarabia M. Explicit expressions for the Leimkuhler curve in parametric families. Information Processing and Management 2008, 44:1808-1818.
37. Waltman L., van Eck N.J. Some comments on Egghe's derivation of the impact factor distribution. Journal of Informetrics 2009, 3:363-366.