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A sequential Bayesian generalization of the Jelinski–Moranda software reliability model

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  • Alan Washburn

Abstract

The Jelinski–Moranda model of software reliability is generalized by introducing a negative‐binomial prior distribution for the number of faults remaining, together with a Gamma distribution for the rate at which each fault is exposed. This model is well suited to sequential use, where a sequence of reliability forecasts is made in the process of testing or using the software. We also investigate replacing the Gamma distribution with a worst‐case assumption about failure rates (the worst‐case failure rate in models such as this is not infinite, since faults with large failure rates are immediately discovered and removed). © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006

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  • Alan Washburn, 2006. "A sequential Bayesian generalization of the Jelinski–Moranda software reliability model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(4), pages 354-362, June.
    • Handle: RePEc:wly:navres:v:53:y:2006:i:4:p:354-362
    DOI: 10.1002/nav.20148
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    References listed on IDEAS

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    1. B. Littlewood & J. L. Verrall, 1973. "A Bayesian Reliability Growth Model for Computer Software," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 22(3), pages 332-346, November.
    2. Carl M. Harris, 1968. "The Pareto Distribution as a Queue Service Discipline," Operations Research, INFORMS, vol. 16(2), pages 307-313, April.
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