Volume 5, Issue 3, May 2016, Page: 80-86
Regression Approach to Parameter Estimation of an Exponential Software Reliability Model
Albert Orwa Akuno, Department of Mathematics, Egerton University, Egerton, Kenya
Timothy Mutunga Ndonye, Department of Mathematics, Egerton University, Egerton, Kenya
Janiffer Mwende Nthiwa, Department of Mathematics, Egerton University, Egerton, Kenya
Luke Akong’o Orawo, Department of Mathematics, Egerton University, Egerton, Kenya
Received: Mar. 10, 2016;       Accepted: Apr. 5, 2016;       Published: Apr. 21, 2016
DOI: 10.11648/j.ajtas.20160503.11      View  2435      Downloads  82
Abstract
Mathematical studies about the likelihood of failures of software systems have been advanced by various researchers. These studies have modeled the behavior of software systems by using failure times and time between failures in the past. The Goel-Okumoto software reliability model is amongst the many software reliability models proposed to model the failure behavior of software systems. To be able to use the model in software reliability assessment, it is important to estimate its parameters α and β and the intensity function λ(t). In this paper, classical parametric regression methods have been utilized in the estimation of the parameters α and β, the intensity function and the mean time between failures of the Goel-Okumoto software reliability model. The parameters α and β and the mean time between failures (MTBF) of the Goel-Okumoto software model have been estimated using the maximum likelihood estimation (MLE) method, regression approach applied to the model and simple linear regression model without assuming the Goel-Okumoto model. When these three estimation methods were validated using root mean squared error (RMSE) and mean absolute value difference (MAVD), which are the common error measurement criteria, regression approach applied to the Goel-Okumoto model outperformed MLE and simple linear regression estimation methods.
Keywords
Goel-Okumoto model, Regression Approach, Maximum Likelihood Estimation
To cite this article
Albert Orwa Akuno, Timothy Mutunga Ndonye, Janiffer Mwende Nthiwa, Luke Akong’o Orawo, Regression Approach to Parameter Estimation of an Exponential Software Reliability Model, American Journal of Theoretical and Applied Statistics. Vol. 5, No. 3, 2016, pp. 80-86. doi: 10.11648/j.ajtas.20160503.11
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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