Publication:
Approximate interval estimation methods for the reliability of systems using component data with exponential and Weibull distributions.

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Authors
Lee, Hyeon-Soo
Subjects
reliability
jacknife
confidence limit
exponential
Weibull
nomal
Newton-Raphson
Advisors
Woods, W.M.
Date of Issue
1989-09
Date
September 1989
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
Two approximate parametric interval estimation methods for system reliability using component test data are developed and evaluated. One method can be applied to any coherent system with components which have exponential failure times with possibly different failure rates and different mission operating times. This method estimates the ratios of component failure rates which are then used to develop the approximate lower confidence limit. These ratio estimates are developed with and without jacknife methods and the two results are compared. This procedure is very accurate and simple to compute, requiring the use of standard chi-square tables. This ratio method is subsequently extended to coherent systems with components whose failure times have a Weibull distribution. A nearly exact parametric lower confidence limit for P(X> x) is developed and evaluated where x is given and X has a normal distribution with unknown mean and variance. This procedure is also simple to evaluate and requires the use of Student t tables.
Type
Thesis
Description
Series/Report No
Department
Operations Research
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
57 p.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
Copyright is reserved by the copyright owner
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