Date of Award
1973
Degree Type
Report
Degree Name
Master of Science (MS)
Department
Mathematics and Statistics
Committee Chair(s)
Ronald V. Canfield
Committee
Ronald V. Canfield
Abstract
It is very difficult to construct a reliability model for a complex system. However, the reliability model for a series configuration is relatively simple. In the simplest case in which the components are mutually independent, the system reliability can be represented as follows:
Rs(x) = ∑ni=1Ri(x),
where Ri is the reliability for the ith component. It is also known that for moderate levels of system reliability for large systems, the component reliability must be high.
Extreme Value Theory indicates that under very general conditions, the initial form of the distribution function is the dominating contribution to the system reliability. In addition, under proper conditions (i.e., the component reliability distribution is such that its related extreme value type is of the limits type, [Gumbel, 1958]), the initial forms of these distributions are Weibull, i.e.,
1 - F(x) = exp(-(x/θ)Y).
Recommended Citation
Yueh, Jia-Jinn, "A Monte Carlo Comparison of Nonparametric Reliability Estimators" (1973). All Graduate Plan B and other Reports, Spring 1920 to Spring 2023. 1154.
https://digitalcommons.usu.edu/gradreports/1154
Included in
Copyright for this work is retained by the student. If you have any questions regarding the inclusion of this work in the Digital Commons, please email us at .