摘要
设产品寿命服从双参数指数分布，失效率和保证寿命的加速模型分别为ｌｎθｉｊ＝β０＋β１φ１（Ｓ１ｉ）＋β２φ２（Ｓ２ｊ）＋β３φ１（Ｓ１ｉ）φ２（Ｓ２ｊ）ｕｉｊ＝α０－α１ｆ１（Ｓ１ｉ）－α２ｆ２（Ｓ２ｊ）ｉ＝１，２，…，ｌ；ｊ＝１，２，…，ｋ本文研究了用两应力交叉步加试验的数据对参数βｉ（ｉ＝０，１，２，３）和αｊ（ｊ＝０，１，２）进行估计和检验，然后由模型可以求得正常工作应力（Ｓ１０，Ｓ２０）下各种可靠性特征的估计值。最后给出的随机模拟例子表明，本文给出的统计方法具有较高的精度。
Suppose that the distribution of the lifetime of products follows the two parameter exponential law, under the stress (S 1i , S 2j ), the failure rate accelerated model and the life guarantee accelerated model are ln θ ij =β 0+β 1φ 1(S 1i )+β 2φ 2(S 2j )+β 3φ 1(S 1i )φ 2(S 2j ) andu ij =α 0-α 1f 1(S 1i )-α 2f 2(S 2j ) i=1,2,…,l; j=1,2,…,k In this paper, we have given the method of estimating and testing the coefficients β 0, β 1, β 2, β 3, α 0, α 1 and α 2 with the datas of accelerated life test using two alternate step stress. Using the two models, we can obtain the estimators of the various reliability characteristics under the usual stress (S 10 , S 20 ), the results of random simulation show that the method given above is of more high precision.
出处
《工程数学学报》
CSCD
北大核心
1997年第1期45-51,共7页
Chinese Journal of Engineering Mathematics
