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

Nikolay Kyurkchiev | Zendy

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

Author(s) -

Nikolay Kyurkchiev

Publication year - 2018

Publication title -

biomath communications

Language(s) - English

Resource type - Journals

eISSN - 2367-5241

pISSN - 2367-5233

DOI - 10.11145/bmc.2018.03.237

Subject(s) - heaviside step function , gompertz function , sigmoid function , mathematics , hausdorff space , function (biology) , cumulative distribution function , construct (python library) , pure mathematics , discrete mathematics , mathematical analysis , statistics , probability density function , computer science , artificial intelligence , evolutionary biology , artificial neural network , biology , programming language

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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