Random sampling of the Zipf-Mandelbrot distribution as a representation of vocabulary growth

DOI10.1016/j.physa.2022.128259OpenAlexW4306812398MaRDI QIDQ2678322

Gordon Hunter, Martin Tunnicliffe

Publication date: 9 January 2023

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2022.128259

zbMATH Keywords

corpus linguisticsZipf's lawmodel optimisationHeaps' lawtype/token systems

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Uses Software

• plfit

Cites Work

• Creativity and universality in language. Based on the presentations at the workshop, Paris, France, June 2014
• A formal derivation of Heaps' law
• The asymptotic expansion of a ratio of gamma functions
• Power-Law Distributions in Empirical Data
• Optimal prediction of the number of unseen species
• The incomplete gamma functions
• Beyond the Zipf-Mandelbrot law in quantitative linguistics
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