Planning Life Tests for Burr XII Distributed Products Under Progressive Group-censoring with Cost Considerations

Abstract

In this paper, a progressive type I group-censoring life test for Burr XII distribution is considered. We use the maximum likelihood method to obtain the point estimators of the Burr XII parameters. The approximate confidence intervals for the parameters of Burr XII distribution are also obtained. We use modified algorithm proposed by Kus et al. [19] to decide the number of test units, number of inspections, and length of inspection interval under a restricted budget of experiment such that the determinant of the asymptotic variances-covariance of estimators of parameters is minimum. A numerical example is presented to illustrate the proposed approach. The sensitivity analysis is also investigated.

Keywords

• D-Optimality
• Grouped data
• Interval censoring
• Nonlinear mixed integer programming
• Maximum likelihood method
• Progressive censoring.

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