Advances in Pure Mathematics

Volume 8, Issue 4 (April 2018)

ISSN Print: 2160-0368   ISSN Online: 2160-0384

Google-based Impact Factor: 0.50  Citations  h5-index & Ranking

Facebook Dynamics: Modelling and Statistical Testing

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DOI: 10.4236/apm.2018.84021    707 Downloads   1,520 Views  

ABSTRACT

In this work we study virtual social networks known as Facebook. It is used by millions of people worldwide, gathering a combination of virtual elements and real world components. We suggest a probabilistic model to describe the long-term behavior of Facebook. This model includes different friendship connection between profiles, directly or by suggestion. Due to web’s high interactivity level, we simplify the model assuming Markovian dynamic. After the model is established we propose Complete Transversality (CT) communication concept. CT describes people interaction that reflects profile behaviour and leads to estimators that measure this interaction. Then we introduce a weakness version of CT named Segmental Transversality (ST). Within this framework we develop estimators that allow hypothesis testing of CT and ST. And then, in ST context we propose performance measures to address a priori segmentation’s quality.

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Bavio, J. , Guardiola, M. and Perera, G. (2018) Facebook Dynamics: Modelling and Statistical Testing. Advances in Pure Mathematics, 8, 380-399. doi: 10.4236/apm.2018.84021.

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