A New Model for Error Clustering in Telephone Circuits
A New Model for Error Clustering in Telephone Circuits
复制标题
电话电路中错误聚类的新模型
DOI：
10.1147/rd.73.0224
复制
发表时间：
1963
期刊：
影响因子：
--
通讯作者：
B. Mandelbrot
中科院分区：
文献类型：
--
作者：
Jay M. Berger;B. Mandelbrot
本文提出了一种新的数学模型来描述电话线上数据传输中错误发生的分布。我们建议： a) 电话错误的统计数据可以用错误概率来描述，该错误概率仅取决于自上次错误发生以来所经过的时间； b) 误差间间隔的分布可以通过指数小于一的帕累托定律很好地近似；因此，随着消息长度的增加，错误和歧义的相对数量趋向于零。借助从德国电话网络获得的实验数据证明了这些概念的有效性。该模型的进一步结果、改进和用途在论文正文中进行了描述。
This paper proposes a new mathematical model to describe the distribution of the occurrence of errors in data transmission on telephone lines. We suggest: a) that the statistics of telephone errors can be described in terms of an error probability depending solely on the time elapsed since the last occurrence of an error; b) that the distribution of inter-error intervals can be well approximated by a law of Pareto of exponent less than one; the relative number of errors and the equivocation tend, therefore, to zero as the length of the message is increased. The validity of those concepts is demonstrated with the aid of experimental data obtained from the German telephone network. Further consequences, refinements, and uses of the model are described in the body of the paper.