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Quasi-Bayesian software reliability model with small samples

Quasi-Bayesian software reliability model with small samples
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摘要 In traditional Bayesian software reliability models, it was assume that all probabilities are precise. In practical applications the parameters of the probability distributions are often under uncertainty due to strong dependence on subjective information of experts' judgments on sparse statistical data. In this paper, a quasi-Bayesian software reliability model using interval-valued probabilities to clearly quantify experts' prior beliefs on possible intervals of the parameters of the probability distributions is presented. The model integrates experts' judgments with statistical data to obtain more convincible assessments of software reliability with small samples. For some actual data sets, the presented model yields better predictions than the Jelinski-Moranda (JM) model using maximum likelihood (ML). In traditional Bayesian software reliability models, it was assume that all probabilities are precise. In practical applications the parameters of the probability distributions are often under uncertainty due to strong dependence on subjective information of experts' judgments on sparse statistical data. In this paper, a quasi-Bayesian software reliability model using interval-valued probabilities to clearly quantify experts' prior beliefs on possible intervals of the parameters of the probability distributions is presented. The model integrates experts' judgments with statistical data to obtain more convincible assessments of software reliability with small samples. For some actual data sets, the presented model yields better predictions than the Jelinski-Moranda (JM) model using maximum likelihood (ML).
出处 《Journal of Shanghai University(English Edition)》 CAS 2009年第4期301-304,共4页 上海大学学报(英文版)
基金 supported by the National High-Technology Research and Development Program of China (Grant Nos.2006AA01Z187,2007AA040605)
关键词 software reliability model imprecise probability quasi-Bayesian analysis expert judgment software reliability model, imprecise probability, quasi-Bayesian analysis, expert judgment
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