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Full-Text Articles in Physical Sciences and Mathematics
A Monte Carlo Comparison Of Nonparametric Reliability Estimators, Jia-Jinn Yueh
A Monte Carlo Comparison Of Nonparametric Reliability Estimators, Jia-Jinn Yueh
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
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 …
A Monte Carlo Evaluation Of A Nonparametric Technique For Estimating The Hazard Function, Sheng Jia Lin
A Monte Carlo Evaluation Of A Nonparametric Technique For Estimating The Hazard Function, Sheng Jia Lin
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
This research is primarily concerned with the estimation of the Hazard functions, the Hazard function is the failure rate at time t, and is defined as -R '(t)/R(t), so it plays an important role in Reliability.
In order to compare and evaluate the estimation methods, it is convenient to select one distribution in this research. Since the Weibull distribution is a useful distribution in Reliability, the Weibull distribution is used in this paper.