Abstract
Hierarchical Bayesian method for estimating the failure probabilityp i under DOOF by taking the quasi-Beta distributionB(p i−1, 1, 1,b) as the prior distribution is proposed in this paper. The weighted Least Squares Estimate method was used to obtain the formula for computing reliability distribution parameters and estimating the reliability characteristic values under DOOF. Taking one type of aerospace electrical connector as an example, the correctness of the above method through statistical analysis of electrical connector accelerated life test data was verified.
Similar content being viewed by others
References
Anderman M., Baker, C. and Cohen, F, 1997. LEO test data for 81 Ah FNC cells.Energy Conversion Engineering Conference,1: 131–136.
Bailey, T., 1997. Estimation from zero-Failure Data.Risk Analysis,17: 375–380.
Berger, J. Q., 1985. Statistical Decision Theory and Bayesian Analysis. Springer Verlag, New York.
Chen, W. H., Chen, Y. D., Li, P. Z. and Lu, X. B., 1997. Reliability mathematics model of aerospace electrical connector.A journal of aeronautics,1: 732–734 (in Chinese).
GJB101-86, 1986. Connetors Electrical Circular Minature Quick Disconnect Environment Resisting General Specipication For. Science and technology polytechnic committee of national defense (in Chinese).
Liu, F. H., Lu, J. C., Sundaram, V., Sutter, D., White, G. and Baldwin, D. F., 2001. Reliability assessment of microvias in HDI printed circuit boards.Electronic Components and Technology Conference,51: 1159–1163.
Mao, S. S., Xia, J. F. and Guan, W. Q., 1993. Zero-failure data treating of bearing life-testing experiment.Mathematical statistics and Applied probability,9: 326–332 (in Chinese).
Mao, S. S. and Wang, L. L., 1996. Reliability analysis for Weibull zero failure data.Applied probability and statistics,1: 95–107 (in Chinese).
Pugh, R. L., 1993. Space Transportation Main Engine reliability demonstration technique.Reliability and Maintainability Symposium, p. 173–180.
Sandoh, H. and Sawada, K, 1991. Reliability demonstration testing for discrete-type software products.Reliability and Maintainability Symposium, p. 428–432.
Wei, W., 2002. Statistical analysis of space-flight electrical connector for vibration reliability. A dissertation for the degree of Master, Zhejiang University, Hangzhou (in Chinese).
Zhang, Z. Z. and Yang, Z. H., 1989. Data treating under zero-failure.Mathematical statistics and Applied probability,4: 507–516 (in Chinese).
Author information
Authors and Affiliations
Corresponding author
Additional information
Project (No. 59975081) supported by the National Natural Science Foundation of China
Rights and permissions
About this article
Cite this article
Chen, Wh., Cui, J., Fan, Xy. et al. Reliability analysis of DOOF for weibull distribution. J. Zhejiang Univ. Sci. A 4, 448–453 (2003). https://doi.org/10.1631/jzus.2003.0448
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1631/jzus.2003.0448