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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Detalles Bibliográficos
Autores: Pérez Casany, Marta|||0000-0003-3675-6902, Duarte López, Ariel|||0000-0002-7432-0344, Prat Pérez, Arnau
Tipo de recurso: capítulo de libro
Fecha de publicación:2015
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/105912
Acceso en línea:https://hdl.handle.net/2117/105912
https://dx.doi.org/10.1007/978-3-319-27308-2_40
Access Level:acceso abierto
Palabra clave:Mathematical statistics
zipf distribution
node degree
network analysis
Estadística matemàtica
Distribució (Teoria de la probabilitat)
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario: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.