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Bayesian Predictive Analyses for Logarithmic Non-Homogeneous Poisson Process in Software Reliability

机译:软件可靠性对数非均匀泊松过程的贝叶斯预测分析

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This paper discusses the Bayesian approach to estimation and prediction of the reliability of software systems during the testing process. A Non-Homogeneous Poisson Process (NHPP) arising from the Musa-Okumoto (1984) software reliability model is proposed for the software failures. The Musa-Okumoto NHPP reliability model consists of two components—the execution time component and the calendar time component, and is a popular model in software reliability analysis. The predictive analyses of software reliability model are of great importance for modifying, debugging and determining when to terminate so ftware development testing process. However, Bayesian and Classical predictive analyses on the Musa-Okumoto (1984) NHPP model is missing on the literature. This paper addresses four software reliability issues in single-sample prediction associated closely with development testing program. Bayesian approach based on non-informative prior was adopted to develop explicit solutions to these problems. Examples based on both real and simulated data are presented to illustrate the developed theoretical prediction results.
机译:本文讨论了贝叶斯方法,用于在测试过程中估计和预测软件系统的可靠性。针对软件故障,提出了由Musa-Okumoto(1984)软件可靠性模型引起的非均质泊松过程(NHPP)。 Musa-Okumoto NHPP可靠性模型由执行时间部分和日历时间部分两个部分组成,是软件可靠性分析中的一种流行模型。软件可靠性模型的预测分析对于修改,调试和确定何时终止软件开发测试过程非常重要。但是,文献中缺少对Musa-Okumoto(1984)NHPP模型的贝叶斯和古典预测分析。本文讨论了与开发测试程序紧密相关的单样本预测中的四个软件可靠性问题。采用基于非信息先验的贝叶斯方法来开发针对这些问题的显式解决方案。给出了基于真实和模拟数据的示例,以说明已开发的理论预测结果。

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