Mathematical model for hit phenomena as stochastic process of interactions of human interactions

Mathematical model for hit phenomena in entertainments in the society is presented as stochastic process of interactions of human dynamics. The model use only the time distribution of advertisement budget as input and the words of mouth (WOM) as posting in the social network system is used as the da...

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Published in:arXiv.org 2011-12
Main Authors: Ishii, Akira, Arakaki, Hisashi, Matsuda, Naoya, Umemura, Sanae, Urushidani, Tamiko, Yamagata, Naoya, Yoshda, Narihiko
Format: Article
Language:English
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Mathematical analysis
Mathematical models
Social networks
Stochastic models
Stochastic processes
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container_title arXiv.org
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creator Ishii, Akira
Arakaki, Hisashi
Matsuda, Naoya
Umemura, Sanae
Urushidani, Tamiko
Yamagata, Naoya
Yoshda, Narihiko
description Mathematical model for hit phenomena in entertainments in the society is presented as stochastic process of interactions of human dynamics. The model use only the time distribution of advertisement budget as input and the words of mouth (WOM) as posting in the social network system is used as the data to compare with the calculated results. The unit of time is daily. The WOM distribution in time is found to be very close to the residue distribution in time. The calculations for Japanese motion picture market due to the mathematical model agree very well with the actual residue distribution in time.
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subjects Mathematical analysis
Mathematical models
Social networks
Stochastic models
Stochastic processes
title Mathematical model for hit phenomena as stochastic process of interactions of human interactions
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