A piecewise power-law model with shape parameter alpha, growth rate R, and duration T describes word diffusion, with large-scale blog and search data showing alpha mode near 0.5 and sub-exponential growth in 55% of 2,963 analyzed patterns.
Appendix D3: Normalization of Word-Count Time Series for Blog Data We define notation for the word-count series𝑥 𝑖 (𝑡)and the normalized series𝑦 𝑖 (𝑡)as follows [20]
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Sub-exponential Growth Dynamics in Complex Systems: A Piecewise Power-Law Model for the Diffusion of New Words and Names
A piecewise power-law model with shape parameter alpha, growth rate R, and duration T describes word diffusion, with large-scale blog and search data showing alpha mode near 0.5 and sub-exponential growth in 55% of 2,963 analyzed patterns.