A note on the xgamma cumulative sigmoid. Some applications

In this paper we prove upper and lower estimates for the one–sided Hausdorff approximation of the Heaviside step– function ht∗ (t) by means of a xgamma cumulative sigmoid (XGCS) [1]. Some applications of the presented cumulative sigmoid for analysis of the ”data on the development of the Drosophila...

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Bibliographic Details
Main Authors: Angelova, Evgenia, Malinova, Anna, Kyurkchiev, Vesselin, Rahneva, Olga
Format: Conference Proceeding
Language:English
Subjects:
Fruit flies
Online Access:Get full text
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Summary:In this paper we prove upper and lower estimates for the one–sided Hausdorff approximation of the Heaviside step– function ht∗ (t) by means of a xgamma cumulative sigmoid (XGCS) [1]. Some applications of the presented cumulative sigmoid for analysis of the ”data on the development of the Drosophila melanogaster population”, published by biologist Raymond Pearl in 1920 (see, also [3]), and the ”actual data to estimate the number of software residual faults” [4]–[5]. Numerical examples using CAS Mathematica, illustrating our results are given.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5127466