DocumentCode
757200
Title
A Bayes sensitivity analysis when using the beta distribution as a prior
Author
Duran, Benjamin S. ; Booker, Jane M.
Author_Institution
Dept. of Math., Texas Tech. Univ., Lubbock, TX, USA
Volume
37
Issue
2
fYear
1988
fDate
6/1/1988 12:00:00 AM
Firstpage
239
Lastpage
247
Abstract
Results that illustrate the determination of the parameters of a beta prior distribution when either the mean and one percentile or two percentiles are given are presented. Further results show how sensitive the parameters of the beta prior are to errors in the given values. The sensitivity of the probability distribution of the reliability of a system to errors in either the given mean and percentile or the given percentiles of the component beta priors is studied. Included in the study are several systems, ranging from simple ones that occur as subsystems of real systems up to a real type of system consisting of 74 components
Keywords
Bayes methods; parameter estimation; probability; reliability theory; sensitivity analysis; Bayes sensitivity analysis; beta prior distribution; probability distribution; reliability; Laboratories; Power system reliability; Probability distribution; Reliability theory; Risk analysis; Risk management; Sensitivity analysis; Statistical analysis; Statistical distributions; Statistics;
fLanguage
English
Journal_Title
Reliability, IEEE Transactions on
Publisher
ieee
ISSN
0018-9529
Type
jour
DOI
10.1109/24.3748
Filename
3748
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