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
fDate :
3/1/1994 12:00:00 AM
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;
Journal_Title :
Reliability, IEEE Transactions on
