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

Authors

  • Roumen Anguelov University of Pretoria
  • Nikolay Kyurkchiev
  • Svetoslav Markov

DOI:

https://doi.org/10.11145/j.biomath.2018.07.317

Abstract

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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Published

2018-08-14

Issue

Section

Original Articles