论文标题
电话通信网络的统计特性
Statistical properties of telephone communication network
论文作者
论文摘要
文章中考虑了电话订户的定向网络。可以将其描述为一个动态网络，其顶点与电话网络的订阅者以及与相应订户之间的连接相对应的新兴方向边缘对应。边缘的位置及其方向取决于来自相应顶点的传入和传出的呼叫。本文的主题是某个电话网络订户一定子集连接的统计属性。这种联系本质上是动态的，因为它们的外观和消失。在选定顶点的一天中发生的外向（或传入）连接的数量被用作主要特征。已经使用实验数据分析了此类网络的外向（或呼叫）连接（或调用）的分布密度。已经表明，在调用数量上的这种分布密度遵守对数正态分布密度，这取决于两个参数。确定对数正态分布密度的两个参数的值，即平均值和方差。已经讨论了在传入（或传出）连接数量上出现对数正态分布密度的原因。也已经考虑了其他订户组的统计特性。特别是，已经选择了向电话网络的各种订户进行大量拨出电话的小组进行单独的研究。该小组的成员创建和分发垃圾邮件可以称为垃圾邮件发送者。已经表明，这些组（例如，垃圾邮件发送者）也要遵守呼叫数量的对数正态分布密度，但它们的特征是不同的平均值和方差。
The directed network of telephone subscribers is considered in the article. It can be described as a dynamic network with vertices that correspond to the subscribers of the telephone network and emerging directional edges that correspond to the connections between the respective subscribers. The position of the edge and its direction is determined by the incoming and outgoing calls from the corresponding vertices. The subject of the article is the statistical properties of the connections of a certain subset of telephone network subscribers. Such connections are dynamic in nature due to their appearance and disappearance. The number of outgoing (or incoming) connections occurred during a day at a selected vertex is used as the main characteristic. The distribution density of the number of outgoing (or incoming) connections (or calls) of such a network has been analyzed using the experimental data. It has been shown that such a distribution density over the number of calls obeys the lognormal distribution density, which depends on the two parameters. The values of two parameters, namely the mean value and the variance, determining the lognormal distribution density are established. The reasons for the appearance of a lognormal distribution density over the number of incoming (or outgoing) connections have been discussed. The statistical properties of other groups of subscribers have been considered as well. In particular, the group that makes a large number of outgoing calls to various subscribers of the telephone network has been selected for a separate study. The members of this group, who create and distribute spam can be called spammers. It has been shown that these groups, spammers for example, also obeys the lognormal distribution density over the number of calls but they are characterized by the different mean value and variance.
