关于Zipf律的一点注记  

A Note on the Zipf's Law

作　　者：龚小庆[1] 王展[1] 

机构地区：[1]浙江工商大学统计与数学学院,杭州310018

出　　处：《复杂系统与复杂性科学》2008年第3期73-78,共6页Complex Systems and Complexity Science

摘　　要：为了弄清Zipf律是否如有些学者所说的那样只是一种普通的统计规律,采用数值模拟方法,对服从不同分布随机数的大小和其位序之间的关系在双对数坐标系上分别作了回归分析。结果显示:服从幂律分布的随机数在该坐标系上呈现出显著的线性特征,而服从其它分布的随机数则均显示出显著的非线性特征,从而进一步证实了Zipf律与幂律分布的统计等价性,它所描述的是一种特殊的统计现象。In order to make clear whether Zipf＇ s law is only of, proposed by some scholars, a general statistical law, we analyzed respectively, by numerical simulation, the regressive relations between the size＇ of random numbers, that has different distributions, and its rank in the log-log systems of coordinate. The results shows that the random numbers, which has power-law distribution, emerges significant linearity in the log-log system of coordinate, but the random numbers, that has distribution other than power-law distribution, emerges significant non-linearity. Therefore, it is confirmed that Zipf＇ s law is statistically equivalent with power-law distribution, and it describes a special statistical phenomenon.

关 键 词：Zipf律 幂律 判定系数 

分 类 号：N94[自然科学总论—系统科学] O212.1[理学—概率论与数理统计]