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Full-Text Articles in Physical Sciences and Mathematics
Nonparametric Confidence Intervals For The Reliability Of Real Systems Calculated From Component Data, Jean Spooner
Nonparametric Confidence Intervals For The Reliability Of Real Systems Calculated From Component Data, Jean Spooner
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
A methodology which calculates a point estimate and confidence intervals for system reliability directly from component failure data is proposed and evaluated. This is a nonparametric approach which does not require the component time to failures to follow a known reliability distribution.
The proposed methods have similar accuracy to the traditional parametric approaches, can be used when the distribution of component reliability is unknown or there is a limited amount of sample component data, are simpler to compute, and use less computer resources. Depuy et al. (1982) studied several parametric approaches to calculating confidence intervals on system reliability. The test …
A Nonparametric Solution For Finding The Optimum Useful Life Of Equipment, Barry T. Stoll
A Nonparametric Solution For Finding The Optimum Useful Life Of Equipment, Barry T. Stoll
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
It is often the case that equipment used by industry must be replaced with new equipment from time to time either because frequent malfunctions make it too costly to repair, or because the equipment has simply worn out. The new equipment often has the nature of either malfunctioning soon after installation due to manufacturing defects, or functioning for an extended period of time because it is free of these defects. For this reason, equipment is often given a preliminary running called the burn-in which gives no useful output but merely tests for manufacturing defects. Also, after a given amount of …
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.
Nonparametric Test Of Fit, Frena Nawabi
Nonparametric Test Of Fit, Frena Nawabi
All Graduate Plan B and other Reports, Spring 1920 to Spring 2023
Most statistical methods require assumptions about the populations from which samples are taken. Usually these methods measure the parameters, such as variance, standard deviations, means, etc., of the respective populations. One example is the assumption that a given population can be approximated closely with a normal curve. Since these assumptions are not always valid, statisticians have developed several alternate techniques known as nonparametric tests. The models of such tests do not specify conditions about population parameters.
Certain assumptions, such as (1) observations are independent and (2) the variable being studied has underlying continuity, are associated with most nonparametric tests. However, …