Blumberg超对数逻辑曲线的一些性质

Q2 Agricultural and Biological Sciences Biomath Pub Date : 2018-08-14 DOI:10.11145/J.BIOMATH.2018.07.317

R. Anguelov, N. Kyurkchiev, S. Markov

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引用次数: 27

摘要

本文考虑了由Blumberg引入的超对数逻辑模型定义的s型函数。我们研究了这个s型曲线到Heaviside函数的Hausdorff距离，它具有从0切换到1的形状。用固有增长率来估计豪斯多夫距离。在超对数逻辑函数的基础上构造了一类递归生成的s型函数。给出了数值说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some properties of the Blumberg's hyper-log-logistic curve

The paper considers the sigmoid function definedthrough the hyper-log-logistic model introduced by Blumberg. We study the Hausdorff distance of this sigmoid to the Heaviside function, which characterises the shape of switching from 0 to 1. Estimates of the Hausdorff distance in terms of the intrinsic growth rate are derived. We construct a family of recurrence generated sigmoidal functions based on the hyper-log-logistic function. Numerical illustrations are provided.

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