Marshall-Olkin extended Zipf distribution

Being able to generate large synthetic graphs resembling those found in the real world, is of high importance for the design of new graph algorithms and benchmarks. In this paper, we first compare several probability models in terms of goodness-of-fit, when used to model the degree distribution of r...

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Detalhes bibliográficos
Autores: Pérez Casany, Marta|||0000-0003-3675-6902, Duarte López, Ariel|||0000-0002-7432-0344, Prat Pérez, Arnau
Tipo de documento: capítulo de livro
Data de publicação:2015
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2117/105912
Acesso em linha:https://hdl.handle.net/2117/105912
https://dx.doi.org/10.1007/978-3-319-27308-2_40
Access Level:Acceso aberto
Palavra-chave:Mathematical statistics
zipf distribution
node degree
network analysis
Estadística matemàtica
Distribució (Teoria de la probabilitat)
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descrição
Resumo:Being able to generate large synthetic graphs resembling those found in the real world, is of high importance for the design of new graph algorithms and benchmarks. In this paper, we first compare several probability models in terms of goodness-of-fit, when used to model the degree distribution of real graphs. Second, after confirming that the MOEZipf model is the one that gives better fits, we present a method to generate MOEZipf distributions. The method is shown to work well in practice when implemented in a scalable synthetic graph generator.