Abstract—Power-law distributions have been observed in various phenomena throughout history. In this study, we examined the access rankings of video streaming sites and the follower rankings of music streaming sites. While videos and music span a wide range of genres, we conducted observations for each genre separately. As a result, we found that these rankings followed a power-law distribution with exponents that fell within a remarkably narrow range. To explain this behavior, we discussed the applicability of the Yule-Simon process as a natural model. This process models positive feedback in which fans belonging to a particular genre generate new fans with equal probability. Consequently, a one-parameter model was successfully applied to video streaming sites, while a two-parameter model was applicable to music streaming sites.
 
Keywords—power law, Yule-Simon process, internet access analysis


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