Estimating parameters of the pareto distribution by means of Zipf's law: Application to Internet research

GLOBECOM - IEEE Global Telecommunications Conference

Volumn 2, Issue , 2005, Pages 1039-1043

  Chlebus, Edward ^a   Ohri, Rahul ^a  

^a Illinois Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INTERNET RESEARCH; LINEAR REGRESSION MODELS; PARETO DISTRIBUTION; ZIPF'S LAW;

INTERNET; MATHEMATICAL MODELS; MEASUREMENT THEORY; NUMERICAL METHODS; PARETO PRINCIPLE; REGRESSION ANALYSIS;

PARAMETER ESTIMATION;

EID: 33846582948     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/GLOCOM.2005.1577794     Document Type: Conference Paper

References (18)

1. Adamic L.A., Zipf, power laws and Pareto - a ranking tutorial, online tutorial, www.hpl.hp.com/research/idl/papers/ranking/ranking.html
2. Adamic L.A., Huberman B.A., Zipf's law and the Internet, Glottometrics, vol. 3, 2002, pp. 143-150
3. nd Edition, San Diego, CA, 1990
4. Barford P. et al., Changes in Web client access patterns: Characteristics and caching implications, World Wide Web, vol. 2, no. 1-2, March 1999, pp. 15-28
5. Brazauskas V., Serfling R., Favorable estimators for fitting Pareto models: A study using goodness-of-fit measures with actual data, ASTIN Bulletin, vol. 33, no. 2, 2003, pp. 365-381
6. st ACM SIGCOMM Internet Measurement Workshop, IMW 2001, San Francisco, CA, Nov. 1-2, 2001, pp. 229-241
7. th Int. Symposium on Modeling, Analysis and Simulation of Computer and Telecommunication Systems, MASCOTS 2001, Cincinnati, OH, Aug. 15-18, 2001
8. rd Edition, 2000
9. OpenWebScope - Web Statistics Software, Web statistic report from math.yale.edu, www.openwebscope.com/samples/math_yale_stats.html
10. Pareto V., Cours d'économie politique, Droz, Geneve, 1896
11. nd Workshop on Internet Server Performance, WISP'99, Atlanta, GA, May 1, 1999, pp. 45-50
12. Rytgaard M., Estimation in the Pareto distribution, ASTIN Bulletin, vol. 20, no. 2, 1990, pp. 201-216.
13. Siganos G. et al., Power laws and the AS-level Internet topology, IEEE/ACM Transactions on Networking, vol. 11, no. 4, Aug. 2003, pp. 514-524
14. Technorati, Top 100, http://www.technorati.com/live/top100.html
15. University of Oregon Route Views Project, Data archives, http://www.routeviews.org
16. Urzua C.M., A simple and efficient test for Zipf's law, Economics Letters, vol. 66, 2000, pp. 257-260
17. Weisstein E.W., Stirling's approximation, MathWorld - A Wolfram Web Resource, http://mathworld.wolfram.com/StirlingsApproximation.html
18. Zipf G.K., Selected Studies of the Principle of Relative Frequency in Language, Harvard University Press, Cambridge, MA, 1932