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关于Zipf-Mandelbrot律中参数ρ的一种解释 被引量:2

AN EXPLANATION OF SHIFT PARAMETER ρ IN Zipf-MANDELBROT LAW
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摘要 Zipf-Mandelbrot律S∝(r+ρ)-α是对Zipf律的改进,但是参数ρ的含义一直不清楚.本文直接生成符合Zipf-Mandelbrot律的随机数据序列,通过对比指出Zipf-Mandelbrot律是由系统规模约束造成的,参数ρ反映了数据的饱和效应. The Zipf-Mandelbrot law S∝(r+ρ)-α is an improvement of Zipfian law,but little is known about the implication of parameter ρ.This paper constructs a random data series following the Zipf-Mandelbrot law.It was found that Zipf-Mandelbrot law results from limited scale of the real system,parameter r reflects saturation effect of sampled data.
作者 唐莲 王大辉
出处 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第1期97-100,共4页 Journal of Beijing Normal University(Natural Science)
基金 国家自然科学基金资助项目(70771012)
关键词 幂律分布 曼德勃罗特分布 饱和效应 power law Zipf-Mandelbrot law saturation effect
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