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概率论中的幂律分布

袁敏 李洁雪 庄玮玮 杨亚宁

曲阜师范大学学报(自然科学版)2024,Vol.50Issue(3):117-122,6.
曲阜师范大学学报(自然科学版)2024,Vol.50Issue(3):117-122,6.DOI:10.3969/j.issn.1001-5337.2024.3.117

概率论中的幂律分布

Power-law distribution in probability theory

袁敏 1李洁雪 1庄玮玮 2杨亚宁2

作者信息

  • 1. 安徽医科大学卫生管理学院,230032
  • 2. 中国科学技术大学管理学院,230026,安徽省合肥市
  • 折叠

摘要

Abstract

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 distribu-tions by analyzing several interesting real datasets through R software.Some suggestions on relevant teaching content and teaching methods are addressed.

关键词

幂律分布/齐夫定律/异速生长/克莱伯定律/无标度社交网络/帕累托分布

Key words

power-law/Zipf's law/allometry/Kleiber's law/scale-free network/Pareto distribution

分类

数理科学

引用本文复制引用

袁敏,李洁雪,庄玮玮,杨亚宁..概率论中的幂律分布[J].曲阜师范大学学报(自然科学版),2024,50(3):117-122,6.

基金项目

安徽省质量工程校企合作实践教育基地(2020sjjd060) (2020sjjd060)

安徽省质量工程教学研究重点项目(2020jyxm0865,2020wyxm105,2020jyxm2295). (2020jyxm0865,2020wyxm105,2020jyxm2295)

曲阜师范大学学报(自然科学版)

1001-5337

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