<abstract xmlns="http://www.w3.org/1999/xhtml">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.</abstract>

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.

Analysis of the Chen’s and Pham’s Software Reliability Models

Cybernetics and Information Technologies

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Analysis of the Chen\u2019s and Pham\u2019s Software Reliability Models"}

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...

Analysis of the Chen’s and Pham’s Software Reliability Models

Data publikacji: 19 wrz 2018

Zakres stron: 37 - 47

Otrzymano: 15 maj 2018

Przyjęty: 10 lip 2018

DOI: https://doi.org/10.2478/cait-2018-0037

Słowa kluczowe
Two-parameters Chen’s cumulative distribution function (2Ccdf), two-parameters Pham’s cumulative distribution function (2Pcdf), Hausdorff approximation, upper and lower bounds, supersaturation

© 2018 Nikolay Pavlov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Analysis of the Chen’s and Pham’s Software Reliability Models

Data publikacji: 19 wrz 2018

Zakres stron: 37 - 47

Otrzymano: 15 maj 2018

Przyjęty: 10 lip 2018

DOI: https://doi.org/10.2478/cait-2018-0037

Słowa kluczoweTwo-parameters Chen’s cumulative distribution function (2Ccdf), two-parameters Pham’s cumulative distribution function (2Pcdf), Hausdorff approximation, upper and lower bounds, supersaturation

© 2018 Nikolay Pavlov et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Słowa kluczowe
Two-parameters Chen’s cumulative distribution function (2Ccdf), two-parameters Pham’s cumulative distribution function (2Pcdf), Hausdorff approximation, upper and lower bounds, supersaturation