Information management for estimating system reliability using imprecise probabilities and precise Bayesian updating

被引:5
作者
Applied Research Laboratories, University of Texas at Austin, Austin, TX 78713, United States [1 ]
不详 [2 ]
机构
[1] Applied Research Laboratories, University of Texas at Austin, Austin
[2] Department of Mechanical Engineering, Institute for Systems Research, University of Maryland, College Park
来源
Int. J. Reliab. Saf. | 2009年 / 1-3卷 / 35-56期
关键词
Imprecise probabilities; Information management; Reliability assessment;
D O I
10.1504/IJRS.2009.026834
中图分类号
学科分类号
摘要
Engineering design decision-making often requires estimating system reliability based on component reliability data. Although this data may be scarce, designers frequently have the option to acquire more information by expending resources. Designers thus face the dual questions of deciding how to update their estimates and identifying the most useful way to collect additional information. This paper explores the management of information collection using two approaches: Precise Bayesian updating and methods based on imprecise probabilities. Rather than dealing with abstract measures of total uncertainty, we explore the relationships between variance-based sensitivity analysis of the prior and estimates of the posterior mean and variance. By comparing different test plans for a simple parallel-series system with three components, we gain insight into the tradeoffs that occur in managing information collection. Our results show that to consider the range of possible test results is more useful than conducting a variance-based sensitivity analysis. Copyright © 2009, Inderscience Publishers.
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页码:35 / 56
页数:21
相关论文
共 43 条
[11]  
Coolen-Schrijner P., Coolen F.P.A., Non-parametric predictive comparison of success-failure data in reliability, Proceeding IMechE, Part 0: Journal of Risk and Reliability, 221, pp. 319-327, (2007)
[12]  
Coolen F.P.A., On Bernoulli experiments with imprecise prior probabilities, The Statistician, 43, 1, pp. 155-167, (1994)
[13]  
Coolen F.P.A., Low structure imprecise predictive inference for Bayes's problem, Statistics and Probability Letters, 36, pp. 349-357, (1998)
[14]  
Coolen F.P.A., On the use of imprecise probabilities in reliability, Quality and Reliability in Engineering International, 20, pp. 193-202, (2004)
[15]  
Dempster A.P., Upper and lower probabilities induced by a multi-valued mapping, The Annals of Statistics, 28, pp. 325-339, (1967)
[16]  
Dubois D., Prade H., Possibility Theory: An Approach to Computerised Processing of Uncertainty, (1988)
[17]  
Ferson S., Tucker W.T., Sensitivity in Risk Analyses with Uncertain Numbers, (2006)
[18]  
Groen F.J., Mosleh A., Foundations of probabilistic inference with uncertain evidence, International Journal of Approximate Reasoning, 39, 1, pp. 49-83, (2005)
[19]  
Gupta M.M., Intelligence, uncertainty and information, Analysis and Management of Uncertainty: Theory and Applications, pp. 3-11, (1992)
[20]  
Hall J.W., Uncertainty-based sensitivity indices for imprecise probability distributions, Reliability Engineering and System Safety, 91, 10-11, pp. 1443-1451, (2006)