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复杂系统与复杂性科学  2014, Vol. 11 Issue (1): 67-76    DOI: 10.13306/j.1672-3813.2014.01.009
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统计推断方法在复杂网络中的应用
杨宝莹, 胡延庆
西南交通大学数学学院,成都 611756
The Application of Statistical Inference in Complex Networks
YANG Bao-ying, HU Yan-qing
School of Mathematics, Southwest Jiaotong University, Chengdu 611756, China
全文: PDF(1089 KB)  
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摘要 复杂网络是复杂系统的骨架,由许多节点与连接这些节点的边组成,大都具有节点的度服从幂律分布和网络结构小世界效应等特点。判断一个分布是否是幂律分布、估计一个幂律分布的指数和细致刻画网络整体与局部结构特征是很多网络科学研究者面临的一个难题。对复杂网络相关的一些重要的统计推断研究方法,如幂律分布参数估计、指数随机图模型等进行综述,并从数理统计角度给予了一些评价。
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杨宝莹
胡延庆
关键词 复杂网络幂律分布指数随机图模型统计推断    
Abstract:Complex network is the skeleton of the complex system. It composes of nodes and edges. Most of the networks have some important properties such as the power law degree distribution and the small world effect. Usually, it is not easy to justify the scale free degree distribution and estimate the parameters of the scale free distribution and to quantify both global and local network structure at the same time. In this paper, we will review the main statistics inference methods of complex networks, such as the estimation of parameters in power law distribution and exponential random graph model. Moreover, we also comment these methods from a statistical mathematical standpoint.
Key wordscomplex networks    power-law distributions    exponential random graph model    statistical inference
收稿日期: 2013-09-06      出版日期: 2026-06-22
基金资助:国家自然科学基金(61203156);数学天元基金(11226214)
通讯作者: 胡延庆(1980 -),男,四川阆中人,博士,副教授,主要研究方向为复杂网络。   
作者简介: 杨宝莹(1981-),女,陕西西安人,博士,讲师,主要研究方向为数理统计.机器学习等。
引用本文:   
杨宝莹, 胡延庆. 统计推断方法在复杂网络中的应用[J]. 复杂系统与复杂性科学, 2014, 11(1): 67-76.
YANG Bao-ying, HU Yan-qing. The Application of Statistical Inference in Complex Networks[J]. Complex Systems and Complexity Science, 2014, 11(1): 67-76.
链接本文:  
https://fzkx.qdu.edu.cn/CN/10.13306/j.1672-3813.2014.01.009      或      https://fzkx.qdu.edu.cn/CN/Y2014/V11/I1/67
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