Minimum Variance Unbiased Estimator of Software Reliability for Weibull Class Models

B. Roopashri Tantri¹

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.6 , pp.1-5, Dec-2020

Online published on Dec 31, 2020

Copyright © B. Roopashri Tantri . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The quality of the software can be measured quantitatively using software reliability. Estimation of software reliability plays a major role in deciding about the performance of the software. Depending on the type of distribution of failure times, several classes of software reliability models exist. One such class of model is the Weibull class model. The estimation of reliability for the Weibull class model has been considered herein. Several researchers have estimated the reliability of various other classes of models. The method of least squares is the most sought after method. However, the method has certain drawbacks. Herein, two other methods of estimation of reliability, viz, the method of Maximum Likelihood Estimation (MLE) and the method of Minimum Variance Unbiased Estimation (MVUE) are considered obtained for Weibull class models. Further, a comparison of these two estimates of reliability has been carried out by using their statistical properties. The mean square errors of the two estimates of reliability have also been obtained. A few case studies have been considered. It is observed that the method of MVUE provides more accurate value than the method of MLE. Accordingly, both the developer and the user of the software may prefer MVUE of reliability over MLE of reliability while deciding the performance of the software.

Key-Words / Index Term :
Maximum Likelihood Estimator, Mean square error, Minimum Variance Unbiased Estimator, Software reliability models, Weibull class models

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