恒加试验下复杂系统可靠度的估计与性质
The Estimation and Properties of Reliability for Complex System under Constant-Stress Accelerated Life Tests
摘要:

本文研究了恒加试验下,基于最小路径描述的复杂系统可靠度的估计问题。假设每个子系统的寿命分布为指数分布,且在恒加试验下,得到的每个子系统的寿命样本为定数截尾样本,在此条件下,本文给出了复杂系统的可靠度的估计及其渐近分布。

Abstract: This paper studies estimation of the complex system described by minimal paths under the constant-stress accelerated life tests. Assuming that the product life time from each subsystem in the exponential distribution are type II censoring date under the constant-stress accelerated life tests. Under this condition, this paper gives the estimation and its asymptotic distribution of reliability of a complex system.

 

文章引用:杨俊丽, 张国志. 恒加试验下复杂系统可靠度的估计与性质[J]. 统计学与应用, 2012, 1(2): 11-15. http://dx.doi.org/10.12677/SA.2012.12003

参考文献

[1] A. P. Basu, N. Ebrahimi. Nonparametric accelerated life testing. IEEE Transactions on Reliability, 1982, 31(5): 432-435.
[2] N. Balakrishnan. On the maximum estimation of the location and scale parameters of exponential distribution based on multi- ply type II censored samples. Journal of Applied Statistics, 1990, 17(1): 55-61.
[3] 张志华, 罗旭. 指数分布场合下恒加试验的广义线性模型及其MLE[J]. 数理统计与应用概率, 1996, 11(2): 143-149.
[4] W. D. Wang, B. Dimitri. Fitting the weibull log-linear model to accelerated life-test data. IEEE Transactions on Reliability, 2000, 49(2): 217-223.
[5] 王乃生, 王玲玲. 恒定应力加速寿命试验数据缺失时的统计分析[J]. 华东师范大学学报, 2002, 1: 35-44.
[6] A. J. Watkins, A. M. John. On Constant stress accel-erated life tests terminated by type-II censoring at one of the stress levels. Journal of Statistical Planning and Inference, 2008, 138(3): 768- 786.
[7] S. Voiculescu, M. Barreau, A. Charki, et al. Bayesian estimation in accelerated life testing. International Journal of Product De- velopment, 2009, 7(3): 246-260.
[8] H. Alaa, H. Hamid. Constant-Partially accelerated life tests for burr type-XII distribution with progressive type-II censoring. Com- putational Statistics and Data Analysis, 2009, 53(7): 2511-2523.
[9] G. Z. Zhang, D. Liu, F. L. Kong and Z. H. Yang. Expression and algorithm implementation of reliability for complex system. Ad- vances in Systems Science and Applications, 2008, 8(3): 421- 429.
[10] 张国志, 张伟. 多源点多汇点网络系统可靠度的解析表达式[J]. 数学理论与应用, 2010, 30(3): 47-52.
[11] 张学玲, 张国志, 张伟. 区间型数据下复杂系统可靠度估计及性质的研究[J]. 哈尔滨理工大学学报, 2012, 17(1), 108-112.
[12] 张志华. 加速寿命试验及其统计分析[M]. 北京: 北京工业大学出版社, 2002, 62-70.
[13] 茆诗松, 王玲玲. 加速寿命试验[M]. 北京: 科学出版社, 2000, 31-33.