概率论中的幂律分布

Power-law distribution in probability theory

幂律分布用于描述个体相互影响的复杂系统中的数量分布规律,是概率论与数理统计学中最重要的分布之一,然而在教学中甚少对其进行详细的介绍.该文将详细讨论幂律分布的定义及性质、常见的幂律分布以及幂律分布的应用,并结合具体实例通过R软件进行数据分析,给出相关教学内容和教学方法的若干建议.

Power-law distribution is used to model the distribution of variables describing complex system in which individuals interact with each other.It is one of the most important distributions in probability theory,but it is rarely introduced in detail in the teaching of probability theory.This article discuss in detail the definition of power-law distribution and illustrates the common power-law distributions by analyzing several interesting real datasets through R software.Some suggestions on relevant teaching content and teaching methods are addressed.