Date of Graduation
Master of Science in Statistics and Analytics (MS)
Second Committee Member
Third Committee Member
Pure sciences; Ba model; Cauchy distribution; Dirichlet; Large-citation network
Citation Networks of papers are vast networks that grow over time. The manner or the form a citation network grows is not entirely a random process, but a preferential attachment relationship; highly cited papers are more likely to be cited by newly published papers. The result is a network whose degree distribution follows a power law. This growth of citation network of papers will be modeled with a negative binomial regression coupled with logistic growth and/or Cauchy distribution curve. Then a Barabasi-Albert model, based on the negative binomial models, and a combination of the Dirichlet distribution and multinomial will be utilized to simulate a network that follows preferential attachments between newly added nodes and existing nodes.
Ek, Luis Javier Jr., "Statistical Modeling of the Temporal Dynamics in a Large Scale-Citation Network" (2016). Theses and Dissertations. 1549.