From lognormal distribution to power law: A new classification of the size distributions

被引:9
作者
Benguicui, Lucien [1 ]
Blumenfeld-Lieberthal, Efrat
机构
[1] Technion Israel Inst Technol, Inst Solid State, IL-32000 Haifa, Israel
[2] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel
[3] Technion Israel Inst Technol, Fac Architecture & Town Planning, IL-32000 Haifa, Israel
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C | 2006年 / 17卷 / 10期
关键词
size distribution;
D O I
10.1142/S0129183106009953
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We propose a new classification of the size distributions of entities based on an exponent a defined from the shape of the log-log Rank Size plot. From an inspection of a large number of cases in different fields, one finds three possibilities: alpha = 1 giving a power law, alpha > 1 (paxabola like curve) and 0 < alpha < 1 (analogous to a log normal distribution). A fourth possibility that can be defined when alpha < 0 was never observed. We present a modified version of models based on a random multiplicative process and an introduction of new entities during the growth. We recover all three kinds of distributions and show that the type of a distribution is conditioned by the rate of the introduction of new entities.
引用
收藏
页码:1429 / 1436
页数:8
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