On the log-normal distribution of network traffic

A Framework for Assessing the Business Value of Information Technology Infrastructures

“…are similar to buying insurance. The lognormal distribution is also commonly used in modeling demand for different types of products [29], including the use of telecommunications and computing services [3]. Demand modeling using lognormal distributions can also be considered relevant to this paper, since the value of a jump in infrastructure value (which is assumed to be lognormally distributed in this paper) due to a positive event (such as system integration) is influenced by the usage (demand).…”

Modeling Web Evolution

“…The first steps towards understanding cyberspace involved measurements and statistics of the Internet traffic [7,8,9,10,11]. The self-similar feature of the Internet was also found in the Web through preferential attachment [12,13,14].…”

Extrapolating population size from the occupancy–abundance relationship and the scaling pattern of occupancy

“…Our dipswitch test comprised two classes of tests (Table 1): first, macroecological patterns associated with species abundance were derived from the models' abundance estimates, and these were compared to three welldocumented patterns (i.e., three tests): the speciesabundance distribution (Gaston andBlackburn 2000, McGill 2003b), the interspecific occupancy-abundance relationship Gaston 2003, Blackburn et al 2006), and the interspecific abundance-body mass relationship (Nee et al 1991, Blackburn and Lawton 1994, Blackburn and Gaston 1996, McGill 2008. Because macroecological patterns are interlinked (Storch et al 2008) and might simply be a by-product of a large-number network (e.g., Antoniou et al 2002), …”