CEU eTD Collection (2010); Hussami, Peter: Statistical inference on random graphs

CEU Electronic Theses and Dissertations, 2010
Author Hussami, Peter
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 texthttps://www.etd.ceu.edu/2010/tphhup01.pdf

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