CEU Electronic Theses and Dissertations, 2010
Author | Hussami, Peter |
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Title | Statistical inference on random graphs |
Summary | The main subject for this dissertation is statistical analysis of graphs. There are some general methodological musings, but the work focuses mostly on a specific problem: measuring prefential attachment in power-law degree distribution graphs and all the considerations that are involved. Namely, developing generating models and finding likelihood values for graphs. There is also heavy focus on uniform distribution over a class of graphs with a fixed degree sequence, which leads to the birth of a model where a graph's likelihood depends solely on its degree sequence. Keywords: scale-free, power law, degree sequence, likelihood, independence, preferential attachment, Erdos-Renyi, Albert-Barabasi |
Supervisor | Tusnády, Gábor |
Department | Mathematics PhD |
Full text | https://www.etd.ceu.edu/2010/tphhup01.pdf |
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