Analysis of Gumbel Model for Software Reliability Using Bayesian Paradigm
Journal Title: International Journal of Advanced Research in Artificial Intelligence(IJARAI) - Year 2012, Vol 1, Issue 9
Abstract
In this paper, we have illustrated the suitability of Gumbel Model for software reliability data. The model parameters are estimated using likelihood based inferential procedure: classical as well as Bayesian. The quasi Newton-Raphson algorithm is applied to obtain the maximum likelihood estimates and associated probability intervals. The Bayesian estimates of the parameters of Gumbel model are obtained using Markov Chain Monte Carlo(MCMC) simulation method in OpenBUGS(established software for Bayesian analysis using Markov Chain Monte Carlo methods). The R functions are developed to study the statistical properties, model validation and comparison tools of the model and the output analysis of MCMC samples generated from OpenBUGS. Details of applying MCMC to parameter estimation for the Gumbel model are elaborated and a real software reliability data set is considered to illustrate the methods of inference discussed in this paper.
Authors and Affiliations
Raj Kumar , Ashwini Kumar Srivastava , Vijay Kumar
Keywords
Related Articles
- EP ID EP161381
- DOI -
- Views 118
- Downloads 0
Brainstorming Versus Arguments Structuring in Online Forums
We characterize electronic discussion forums as being of one of the following two types: Brainstorming Forums and Arguments Structuring Forums. In this work we analyze and classify the types of threading models occ...
Image Retrieval Method Utilizing Texture Information Derived from Discrete Wavelet Transformation Together with Color Information
Image retrieval method utilizing texture information which is derived from Discrete Wavelet Transformation: DWT together with color information is proposed. One of the specific features of the texture information e...
Software Requirements Management
Requirements are defined as the desired set of characteristics of a product or a service. In the world of software development, it is estimated that more than half of the failures are attributed towards poor requir...
A Proposed Hybrid Technique for Recognizing Arabic Characters
Optical character recognition systems improve human-machine interaction and are urgently required for many governmental and commercial departments. A considerable progress in the recognition techniques of Latin and Chine...
Prediction of New Student Numbers using Least Square Method
STMIK BANJARBARU has acquired less number of new students for the last three years compared to the previous years. The numbers of new student acquisition are not always the same every year. The unstable number of n...