The new trasmuted C.D.F. based on Gompertz function

Nikolay V. Kyurkchiev

Abstract


In this paper we find application of some new cumulative distribution functions transformations to construct a family of sigmoidal functions based on the Gompertz logistic function.

We prove estimates for the Hausdorff approximation of the shifted Heaviside step function by means of these families.

Numerical examples, illustrating our results are given.


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DOI: http://dx.doi.org/10.11145/bmc.2018.03.237

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