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Abstract
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Article Information:
Significance Test of Reliability Evaluation with Three-parameter Weibull Distribution Based on Grey Relational Analysis
Xintao Xia, Yantao Shang, Yinping Jin and Long Chen
Corresponding Author: Xintao Xia
Submitted: October 22, 2012
Accepted: December 20, 2012
Published: June 25, 2013 |
Abstract:
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With the aid of the grey system theory, the grey relational analysis of the reliability with the three-parameter Weibull distribution is made for the Weibull parameter evaluation and its significance test. Via the theoretical value set and the experimental value set of the reliability relied on the lifetime data of a product, the model of the constrained optimization of the Weibull parameter evaluation based on the maximum grey relational grade. The grey significance of the reliability function with the three-parameter Weibull distribution is tested by means of the proposed criterion of the grey significance analysis of the reliability evaluation at the given grey confidence level. The cases of the helicopter component, the specimen and the ceramic material show that the grey relational analysis of the reliability is effective in the Weibull parameter evaluation and its significance test.
Key words: Grey relational analysis, parameter evaluation, reliability, product, significance test, three-parameter weibull distribution,
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Cite this Reference:
Xintao Xia, Yantao Shang, Yinping Jin and Long Chen, . Significance Test of Reliability Evaluation with Three-parameter Weibull Distribution Based on Grey Relational Analysis. Research Journal of Applied Sciences, Engineering and Technology, (05): 883-888.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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