The progressive type II censoring has been frequently used for reliability estimation from the different standard time-to-death models during the last two decades. It has been recently introduced for the estimation of mixture models; however the analysis of the reliability for the mixture models using progressive type II censoring especially under Bayesian framework is still rarely found in the literature. Similarly, the problem of determination of optimum censoring schemes in case of progressively censored samples from mixed life models still needs to be addressed. This paper aims to estimate the parameters and reliability characteristics of the Topp Leone (T-L) mixture model in case of progressive type II censoring. The determination of optimum censoring scheme and expected test time has also been discussed. We also investigated the sensitivity of the optimum censoring scheme and found them natural robust. The likelihood equations and the posterior distributions based on T-L mixture distribution under progressively censored samples do not provide explicit solutions; therefore we have used approximate methods for the numerical solutions.

在过去的二十年中，渐进式II型审查一直被用于根据不同的标准死亡时间模型进行可靠性评估。最近已经引入它来估计混合模型。但是，在文献中仍然很少发现使用渐进式II型审查尤其是在贝叶斯框架下对混合模型进行可靠性分析的情况。同样，仍然需要解决在从混合生命模型逐步审查样本的情况下确定最佳审查方案的问题。本文旨在估计在进行渐进式II型审查的情况下Topp Leone（TL）混合模型的参数和可靠性特征。还讨论了最佳检查方案和预期测试时间的确定。我们还研究了最佳检查方案的敏感性，并发现它们自然稳健。渐进删失样本下的似然方程和基于TL混合分布的后验分布没有提供明确的解；因此，我们对数值解使用了近似方法。