×

Statistical analysis of type I censoring data from constant-stress accelerated life testing method under the two parameter exponential distribution. (Chinese. English summary) Zbl 0797.62092

Summary: Suppose that the distribution of the life time of the products follows the two-parameter exponential law \(\varepsilon (\lambda, \mu)\), in which \(\lambda>0\) is the scale parameter (failure rate), and \(\mu>0\) is the location parameter (life guarantee). Under the stress \(S_ i\), the failure rate accelerated model and the life guarantee accelerated model are \[ \ln \theta_ i = \beta_ 0 + \beta_ 1 \varphi_ 1 (S_ i) + \beta_ 2 \varphi_ 2 (S_ i) \quad \text{ and } \quad \mu_ i = \alpha_ 0 - \alpha_ 1 f(S_ i),\;i = 1,2, \dots, k, \text{ respectively}. \] We have given the statistical analysis of type I censoring data from the constant-stress accelerated life testing method. We obtain the approximate BLUEs (best linear unbiased estimators) of the coefficients \(\beta_ 0, \beta_ 1, \beta_ 2, \alpha_ 0\) and \(\alpha_ 1\). Using the two models, we can obtain the estimators of the various reliability characteristics under the usual stress \(S_ 0\). The results of random simulation show that the method given above is of higher precision.

MSC:

62N05 Reliability and life testing
62F10 Point estimation
PDFBibTeX XMLCite