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
           
AuthorInstitution
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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