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Titlebook: Bayesian Methods in Reliability; P. Sander,R. Badoux Book 1991 Springer Science+Business Media Dordrecht 1991 reliability.quality control,

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发表于 2025-3-21 18:16:05 | 显示全部楼层 |阅读模式
期刊全称Bayesian Methods in Reliability
影响因子2023P. Sander,R. Badoux
视频video
学科分类Topics in Safety, Reliability and Quality
图书封面Titlebook: Bayesian Methods in Reliability;  P. Sander,R. Badoux Book 1991 Springer Science+Business Media Dordrecht 1991 reliability.quality control,
影响因子When data is collected on failure or survival a list of times is obtained. Some of the times are failure times and others are the times at which the subject left the experiment. These times both give information about the performance of the system. The two types will be referred to as failure and censoring times (cf. Smith section 5). * A censoring time, t, gives less information than a failure time, for it is * known only that the item survived past t and not when it failed. The data is tn and of censoring thus collected as a list of failure times t , . . . , l * * * times t , t , . . . , t • 1 z m 2. 2. Classical methods The failure times are assumed to follow a parametric distribution F(t;B) with and reliability R(t;B). There are several methods of estimating density f(t;B) the parameter B based only on the data in the sample without any prior assumptions about B. The availability of powerful computers and software packages has made the method of maximum likelihood the most popular. Descriptions of most methods can be found in the book by Mann, Schafer and Singpurwalla (1974). In general the method of maximum likelihood is the most useful of the classical approaches. The likelih
Pindex Book 1991
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Reliability Modelling and Estimation,lems. The analyses are used to illustrate the Bayesian approach to estimation. The importance of the link between the likelihood, prior and posterior is emphasised and examples are given to show the influence of the prior and the likelihood on the estimators obtained from the posterior density.
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The Use of Expert Judgement in Risk Assessment,rise in eliciting and combining expert judgements of the likelihood of particular events or uncertain quantities. We also describe some recent work in the area. In focusing on the mathematical issues, we ignore many others relating, in particular, to the tension between accountability and confidenti
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An Overview of the Bayesian Approach,wn that the logic of decision making points to the Bayesian approach as the natural one to deal with the various issues. A detailed discussion of the Bayesian statistical methods is given. Some recent progress towards the computational implementation of Bayesian methods is received and illustrated.
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Reliability Modelling and Estimation,lems. The analyses are used to illustrate the Bayesian approach to estimation. The importance of the link between the likelihood, prior and posterior is emphasised and examples are given to show the influence of the prior and the likelihood on the estimators obtained from the posterior density.
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