DocumentCode
1084123
Title
Bayes credibility intervals for reliability of series systems with very reliable components
Author
Tang, Jen ; Tang, Kwei ; Moskowitz, Herbert
Author_Institution
Krannert Graduate Sch. of Manage., Purdue Univ., West Lafayette, IN, USA
Volume
43
Issue
1
fYear
1994
fDate
3/1/1994 12:00:00 AM
Firstpage
132
Lastpage
137
Abstract
An asymptotic expansion for the posterior Cdf of the reliability of series systems with very reliable components is obtained. This result allows us not only to calculate the Cdf easily but to estimate the magnitude of error when the infinite series expansion is truncated. Numerical results show that the asymptotic expansion converges very rapidly. Consequently, the computation of Bayes credibility intervals based on the truncated expansion is efficient and accurate
Keywords
Bayes methods; reliability theory; Bayes credibility intervals; asymptotic expansion; error magnitude estimation; infinite series expansion; posterior Cdf; reliability; series systems; very reliable components; Chebyshev approximation; Distributed computing; Polynomials; Reliability theory; State estimation; Statistical analysis; System testing;
fLanguage
English
Journal_Title
Reliability, IEEE Transactions on
Publisher
ieee
ISSN
0018-9529
Type
jour
DOI
10.1109/24.285127
Filename
285127
Link To Document