About this article
Published Online: Sep 19, 2018
Page range: 37 - 47
Received: May 15, 2018
Accepted: Jul 10, 2018
DOI: https://doi.org/10.2478/cait-2018-0037
Keywords
© 2018 Nikolay Pavlov et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In this paper we study the Hausdorff approximation of the shifted Heaviside step function ht0(t) by sigmoidal functions based on the Chen’s and Pham’s cumulative distribution functions and find an expression for the error of the best approximation. We give real examples with data provided by IBM entry software package and Apache HTTP Server using Chen’s software reliability model and Pham’s deterministic software reliability model. Some analyses are made.