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 F2: Parameter Estimation for the Piecewise Power-Law Model (𝑁≥2) This section explains how to estimate the parameters for the piecewise power-law model
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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.