竞争和分裂:一个生成对数正态分布的简单模型
Competition and fragmentation: a simple model generating lognormal-like distributions
摘要:
目前的语言规模分布在说话者人口方面通常使用对数正态分布来描述。分析原始的真实数据,我们展示了如何双帕累托对数正态分布可以给出一个替代的适合,表明存在一个幂律尾。基于竞争和碎片化过程,构造了一个简单的蒙特卡罗模型。结果再现真实分布的幂律尾部,并给出更好的结果,为一个不良连接的拓扑结构的相互作用。
英文摘要:
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.
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