Scale-free Networks Well Done
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Summary
A rigorous definition of power-law distributions is provided, equivalent to the definition of regularly varying distributions that are widely used in statistics and other fields, and three estimators of these exponents are identified that are proven to be statistically consistent.
- Type
- article
- Published
- 2018-11-05
- Cited by
- 196
- References
- 133
- Access
- Open access
- OpenAlex
- https://openalex.org/W2899923712
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:53224200
Keywords
Set (abstract data type), Power (physics), Probability distribution, Statistical model, Measure (data warehouse)
References
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- Quantifying randomness in real networks
- Structure of growing networks with preferential linking.
- Degree Distribution of Competition-Induced Preferential Attachment Graphs
- Hyperbolic Geometry of Complex Networks
- Some problems in the enumeration of labelled graphs
- Extreme Values, Regular Variation, and Point Processes
- Why rumors spread so quickly in social networks
- Regularly varying functions
- Refined Pickands estimators of the extreme value index
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- Rare and everywhere: Perspectives on scale-free networks
- Link prediction with hyperbolic geometry
- Scale-free networks revealed from finite-size scaling
- Extended Scale-Free Networks
- Understanding the Effectiveness of Data Reduction in Public Transportation Networks
- Explaining the emergence of complex networks through log-normal attachment in a Euclidean node similarity space
- Universal transient behavior in large dynamical systems on networks
- Homophily as a process generating social networks: insights from Social Distance Attachment model
- Characterizing the Tails of Degree Distributions in Real-World Networks
- The Origins of Extreme wealth inequality in the Talent versus luck Model
- Distinct flavors of Zipf's law and its maximum likelihood fitting: Rank-size and size-distribution representations.
- Classical information theory of networks
- On the physical origin of linguistic laws and lognormality in speech
- Sensitivity and robustness of comorbidity network analysis
- Large degrees in scale-free inhomogeneous random graphs
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