OPTIMAL DESIGN OF FAILURE-CENSORED CONSTANT-STRESS LIFE TEST PLANS FOR THE INVERSE WEIBULL DISTRIBUTION

被引:3
|
作者
Ismail, Ali A. [1 ]
Al Tamimi, A. [2 ]
机构
[1] Cairo Univ, Fac Econ & Polit Sci, Dept Stat, Giza, Egypt
[2] Prince Sattam Bin Abdul Aziz Univ, Coll Sci & Humanities Studies, Hotat Bani Tamim, Saudi Arabia
关键词
reliability; inverse Weibull distribution; constant stress; maximum likelihood estimation; Fisher information matrix; generalized asymptotic variance; optimum test plans; EXPONENTIAL-DISTRIBUTION;
D O I
10.1007/s11223-019-00061-0
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
This paper presents the optimal design of constant-stress partially accelerated life tests (CSPALT) using type-II censored data from the inverse Weibull distribution. The maximum likelihood approach is applied to estimate the distribution parameters and the corresponding factor. In addition, the corresponding confidence interval estimates are obtained. Moreover, optimal CSPALT plans are developed using the D-optimality criterion. That is, the proportion of test units that should be allocated to run under accelerated condition is optimally determined. This proportion is obtained such that the generalized asymptotic variance of the maximum likelihood estimators of the model parameters is minimized. To illustrate the theoretical results presented in this paper, simulation studies are conducted.
引用
收藏
页码:156 / 165
页数:10
相关论文
共 50 条