典型文献
Range-Renewal Processes:SLLNs and Power Laws
文献摘要：
Given n samples (viewed as an n-tuple) of a γ-regular discrete distribution π,in this article the authors concern with the weighted and unweighted graphs induced by the n samples.They first prove a series of SLLN results (of Dvoretzky-Erd(o)s' type).Then they show that the vertex weights of the graphs under investigation obey asymptotically power law distributions with exponent 1 + γ They also give a conjecture that the degrees of unweighted graphs would exhibit asymptotically power law distributions with constant exponent 2.This exponent is obviously independent of the parameter γ ∈ (0,1),which is a surprise to us at first sight.
文献关键词：
中图分类号：
作者姓名：
Xinxing CHEN;Jiansheng XIE;Jiangang YING
作者机构：
School of Mathematical Sciences,Shanghai Jiaotong University,Shanghai 200240,China;School of Mathematical Sciences,Fudan University,Shanghai 200433,China
文献出处：
引用格式：
[1]Xinxing CHEN;Jiansheng XIE;Jiangang YING-.Range-Renewal Processes:SLLNs and Power Laws)[J].数学年刊B辑（英文版）,2022(01):63-78
A类：
SLLNs,SLLN,Dvoretzky
B类：
Range,Renewal,Processes,Power,Laws,Given,samples,viewed,tuple,regular,discrete,this,article,authors,concern,unweighted,graphs,induced,by,They,first,prove,series,results,Erd,type,Then,they,show,that,vertex,weights,under,investigation,obey,asymptotically,power,law,distributions,exponent,also,give,conjecture,degrees,would,exhibit,constant,This,obviously,independent,parameter,which,surprise,sight
AB值：
0.622357
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