Abstract
This work discusses the mechanisms of popularity generation on the Internet. What we propose here is a model that replicates the statistical distribution profile of popularity. It is a probabilistic model of the number of individuals who read, hear or see, and then replicate a message, and parameterizes an individual’s preference for either new or older messages. Messages can gain in popularity according to a process of paying attention and the resulting popularity distribution has a stretched lognormal configuration. The stretch depends on the degree of attention paid to new messages versus that paid to older messages. We considered three sets of data to test the fit of the model: the American singers/songwriters listed on Wikipedia, videos on YouTube belonging to two different categories, and the number of visits to Wikipedia pages on music albums and film categories. Our main results adjust, with good approximation, to this experimental data. In each of the three case studies, the fit produced by the model is better adjusted to the data than the lognormal standard function.
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