A new transmuted cumulative distribution function based on the Verhulst logistic function with application in population dynamics

Nikolay Kyurkchiev


In this note we find application of a new class cumulative distribution function transformations to construct a family of sigmoidal functions based on the Verhulst logistic function. We prove estimates for the Hausdorff approximation of the shifted Heaviside step function by means of this family. Numerical examples, illustrating our results are given.

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DOI: http://dx.doi.org/10.11145/bmc.2017.05.132

ISSN 2367-5233 (print)
ISSN 2367-5241 (online)