APPLICATIONS OF SOME NEW TRANSMUTED CUMULATIVE DISTRIBUTION FUNCTIONS IN POPULATION DYNAMICS

APPLICATIONS OF SOME NEW TRANSMUTED CUMULATIVE DISTRIBUTION FUNCTIONS IN POPULATION DYNAMICS

Motivation: In literature, several transformations exists to obtain a new cumulative distribution function (cdf) using other(s) well-known cdf(s). Results: In this note we find applications of some new cumulative distribution function transformations to construct a family of sigmoidal functions b...

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Main Authors: Vesselin Kyurkchiev, Anton Iliev Iliev, Nikolay Kyurkchiev
Format: Article
Language:English
Published: Cifra Publishing House 2017-05-01
Series:Journal of Bioinformatics and Genomics
Online Access:http://journal-biogen.org/article/view/51
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spelling doaj-02bf78881640473388bba49e596491f42020-11-25T00:11:24ZengCifra Publishing HouseJournal of Bioinformatics and Genomics2530-13812017-05-011 (3)10.18454/jbg.2017.1.3.251APPLICATIONS OF SOME NEW TRANSMUTED CUMULATIVE DISTRIBUTION FUNCTIONS IN POPULATION DYNAMICSVesselin Kyurkchiev0Anton Iliev Iliev1Nikolay Kyurkchiev2Faculty of Mathematics and Informatics, University of Plovdiv Paisii HilendarskiFaculty of Mathematics and Informatics, University of Plovdiv Paisii HilendarskiFaculty of Mathematics and Informatics, University of Plovdiv Paisii HilendarskiMotivation: In literature, several transformations exists to obtain a new cumulative distribution function (cdf) using other(s) well-known cdf(s). Results: In this note we find applications of some new 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.http://journal-biogen.org/article/view/51
collection DOAJ
language English
format Article
sources DOAJ
author Vesselin Kyurkchiev
Anton Iliev Iliev
Nikolay Kyurkchiev
spellingShingle Vesselin Kyurkchiev
Anton Iliev Iliev
Nikolay Kyurkchiev
APPLICATIONS OF SOME NEW TRANSMUTED CUMULATIVE DISTRIBUTION FUNCTIONS IN POPULATION DYNAMICS
Journal of Bioinformatics and Genomics
author_facet Vesselin Kyurkchiev
Anton Iliev Iliev
Nikolay Kyurkchiev
author_sort Vesselin Kyurkchiev
title APPLICATIONS OF SOME NEW TRANSMUTED CUMULATIVE DISTRIBUTION FUNCTIONS IN POPULATION DYNAMICS
title_short APPLICATIONS OF SOME NEW TRANSMUTED CUMULATIVE DISTRIBUTION FUNCTIONS IN POPULATION DYNAMICS
title_full APPLICATIONS OF SOME NEW TRANSMUTED CUMULATIVE DISTRIBUTION FUNCTIONS IN POPULATION DYNAMICS
title_fullStr APPLICATIONS OF SOME NEW TRANSMUTED CUMULATIVE DISTRIBUTION FUNCTIONS IN POPULATION DYNAMICS
title_full_unstemmed APPLICATIONS OF SOME NEW TRANSMUTED CUMULATIVE DISTRIBUTION FUNCTIONS IN POPULATION DYNAMICS
title_sort applications of some new transmuted cumulative distribution functions in population dynamics
publisher Cifra Publishing House
series Journal of Bioinformatics and Genomics
issn 2530-1381
publishDate 2017-05-01
description Motivation: In literature, several transformations exists to obtain a new cumulative distribution function (cdf) using other(s) well-known cdf(s). Results: In this note we find applications of some new 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.
url http://journal-biogen.org/article/view/51
work_keys_str_mv AT vesselinkyurkchiev applicationsofsomenewtransmutedcumulativedistributionfunctionsinpopulationdynamics
AT antonilieviliev applicationsofsomenewtransmutedcumulativedistributionfunctionsinpopulationdynamics
AT nikolaykyurkchiev applicationsofsomenewtransmutedcumulativedistributionfunctionsinpopulationdynamics
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