On the universality of rank distributions of website popularity

Authors:
Serge A. Krashakov;Anton B. Teslyuk;Lev N. Shchur
Affiliations:
Landau Institute for Theoretical Physics, Chernogolovka, Russia;Institute of Information Science, RRC Kurchatov Institute, Moscow, Russsia and Landau Institute for Theoretical Physics, Chernogolovka, Russia;Landau Institute for Theoretical Physics, Chernogolovka, Russia
Venue:
Computer Networks: The International Journal of Computer and Telecommunications Networking
Year:
2006

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Abstract

We present an extensive analysis of long-term statistics of the queries to websites using logs collected on several web caches in Russian academic networks and on US IR Cache caches. We check the sensitivity of the statistics to several parameters: (1) duration of data collection, (2) geographical location of the cache server collecting data, and (3) the year of data collection. We propose a two-parameter modification of the Zipf law and interpret the parameters. We find that the rank distribution of websites is stable when approximated by the modified Zipf law. We suggest that website popularity may be a universal property of Internet.