Competition and fragmentation: a simple model generating lognormal-like distributions
Physics and Society
2015-05-13 v2 Data Analysis, Statistics and Probability
Abstract
The current distribution of language size in terms of speaker population is generally described using a lognormal distribution. Analyzing the original real data we show how the double-Pareto lognormal distribution can give an alternative fit that indicates the existence of a power law tail. A simple Monte Carlo model is constructed based on the processes of competition and fragmentation. The results reproduce the power law tails of the real distribution well and give better results for a poorly connected topology of interactions.
Keywords
Cite
@article{arxiv.0810.2403,
title = {Competition and fragmentation: a simple model generating lognormal-like distributions},
author = {V. Schwämmle and Silvio M. D. Queirós and E. Brigatti and T. Tchumatchenko},
journal= {arXiv preprint arXiv:0810.2403},
year = {2015}
}
Comments
14 pages, 11 figures