2006
DOI: 10.1002/ett.1084
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Rank‐size distribution of teletraffic and customers over a wide area network

Abstract: Zipf's law is used to model the uneveness of customers and telecommunications traffic distribution among the geographical areas covered by a nationwide network. Three datasets, relative to the traffic intensity in the telephone network and to the number of Internet customers as recorded on an Italian network, are used to assess the validity of the law. The estimated Zipf parameter is lower than 1 (typical of town population) in all three cases but larger than those observed for population over the same adminis… Show more

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Cited by 27 publications
(12 citation statements)
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References 12 publications
(11 reference statements)
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“…Our second modification to the Limtanakool et al (2007) framework therefore entails a normalization of the indices by using the corresponding values for a rank size distribution as a reference point. A rank size distribution is a commonly employed mathematical framework in the study of infrastructure networks (see, for instance, Naldi and Salaris, 2006), and can be defined as…”
Section: Analytical Frameworkmentioning
confidence: 99%
“…Our second modification to the Limtanakool et al (2007) framework therefore entails a normalization of the indices by using the corresponding values for a rank size distribution as a reference point. A rank size distribution is a commonly employed mathematical framework in the study of infrastructure networks (see, for instance, Naldi and Salaris, 2006), and can be defined as…”
Section: Analytical Frameworkmentioning
confidence: 99%
“…We estimate the power law exponent using a maximum likelihood estimation procedure (Naldi and Salaris, 2006) for each trading day for all stocks in each of the stock exchanges -New York Stock Exchange (NYSE), American Stock Exchange (AMEX), NASDAQ -and for the market as a whole. 1 Because of very clear shifts in the data, we use data for AMEX beginning on 2 July 1962 and for NASDAQ beginning on 1 November 1982.…”
Section: Empirical Analysismentioning
confidence: 99%
“…Doray and Luong (1995),Naldi and Salaris (2006) andGoldstein et al (2004) show that the maximum likelihood estimate produces a more accurate and robust estimate of the power law exponent and that this has the least variance in comparison to other estimation methods. 2 On 2 July 1962 the number of stocks in AMEX reported by CRSP increased from 19 to 496 and on 1 November 1982 the number of stocks in NASDAQ reported by C RSP increased from 70 to 2336.…”
mentioning
confidence: 93%
“…As far as its applications in telecommunications are concerned, Zipf law is supported by measurements conducted on the telephone network and on Internet users (see Naldi and Salaris, 2006). Assumption 5 is expressed by the relationship…”
Section: Traffic Model and Simulation Assumptionsmentioning
confidence: 99%