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Calculation of Acceleration Factor Based on Maximum Likelihood Estimation |
Received:May 14, 2014 Revised:May 25, 2014 |
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DOI:10. 7643 /issn. 1672-9242. 2014. 05. 010 |
KeyWord:step-stress accelerated life testing conditional probability maximum likelihood estimation acceleration factor |
Author | Institution |
GUO Heng-hui |
Reliability and System Engineering Institute, Beihang University, Beijing , China |
LI Chuan-ri |
Reliability and System Engineering Institute, Beihang University, Beijing , China |
PANG Yue-chan |
Reliability and System Engineering Institute, Beihang University, Beijing , China |
WANG Kai-shan |
Reliability and System Engineering Institute, Beihang University, Beijing , China |
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Abstract: |
Objective To estimate the associated acceleration factor by analyzing the Trial data of step-stress accelerated life tests ( SSALT) with Type-I censored data, assuming the lifetime of products followed exponential distribution. Methods Lifetime distribution density functions under different stresses were listed. Linkages were established between the distribution density functions by acceleration factors ( AF) . And then conditional probability distribution was used to deal with the problem of cumulative damage at the beginning of each stage by stepwise analysis of the testing. The AFs were estimated by maximum likelihood estimation. Results The paper offered a new method to deal with the cumulative damage. The relationship between AFs and stress levels under the tested stress was calculated. Conclusion It is a feasible method to cater the situation that no failure occurs under certain stress. |
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