2018
DOI: 10.12732/dsa.v27i3.9
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A Note on the Log–logistic and Transmuted Log–logistic Models. Some Applications

Abstract: The Hausdorff approximation of the shifted Heaviside function by Log-logistic and quadratic transmuted Log-logistic sigmoid functions is investigated and an expression for the error of the best approximation is obtained. The results of numerical examples performed in the programming environment Mathematica confirm our theoretical conclusions. Some applications in the field of biochemical processes and debugging theory are also explored.

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Cited by 4 publications
(5 citation statements)
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“…Menurut Markov et al (2018) kunci utama dari penerapan logistik untuk mengembangkan strategi logistik yang sukses adalah bagaimana penerapannya di seluruh organisasi. Rencana implementasi akan mencakup pengembangan atau konfigurasi sistem informasi, pengenalan kebijakan dan prosedur baru, serta pengembangan rencana manajemen perubahan.…”
Section: Rahmahunclassified
“…Menurut Markov et al (2018) kunci utama dari penerapan logistik untuk mengembangkan strategi logistik yang sukses adalah bagaimana penerapannya di seluruh organisasi. Rencana implementasi akan mencakup pengembangan atau konfigurasi sistem informasi, pengenalan kebijakan dan prosedur baru, serta pengembangan rencana manajemen perubahan.…”
Section: Rahmahunclassified
“…Se puede entonces, seleccionar una ganancia tal que mejore o acelere la convergencia del error de estimación. El problema ahora se convierte en garantizar la observabilidad del sistema [9], [10].…”
Section: ̃( ) = ( −̂unclassified
“…The Hausdorff approximation of the Heaviside step function by Loglogistic functions of the form (1) is considered in [61] and the following is proved:…”
Section: Definitionmentioning
confidence: 99%
“…Some applications of the Log-logistic and transmuted Log-logistic sigmoids can be found in [61]. Another application area is medicine, where the logistic function is used to model the growth of tumors or to study pharmacokinetic reactions.…”
Section: Introductionmentioning
confidence: 99%