The progressive type-II censoring has a wide range of applications in reliability studies and survival analysis. The analysis of the mixture models under progressively type-II censored samples has recently been introduced. The reliability estimation from the mixture model under the optimal progressive censoring schemes is still lacking in the current literature. We have discussed the estimation of parameters and reliability characteristics from the Weibull mixture model when failures are progressively censored. The Weibull mixture is proposed for this case as it is S-shaped, which can appropriately handle the mixture data. We have addressed the problem of determination of optimal censoring schemes and estimation of expected test times using the said mixed model. The optimal censoring schemes were found to be less sensitive hence robust. As the corresponding posterior distributions do not provide explicit solutions, we have considered Lindley’s approximation for the approximate numerical solutions.

渐进式 II 型删失在可靠性研究和生存分析中具有广泛的应用。最近引入了渐进式 II 型删失样本下的混合模型分析。当前文献中仍然缺乏在最优渐进审查方案下混合模型的可靠性估计。我们已经讨论了在逐步审查失效时从 Weibull 混合模型估计参数和可靠性特征的方法。对于这种情况，建议使用 Weibull 混合，因为它是 S 形的，可以适当地处理混合数据。我们已经解决了使用上述混合模型确定最佳审查方案和估计预期测试时间的问题。发现最佳审查方案不那么敏感，因此是稳健的。