In order to conduct a comparative lifetime experiment in life testing and reliability theory, the joint censoring scheme has received immense popularity in the last decade. Recently, a new improved joint progressive censoring scheme has been introduced in statistical literature, known as balanced joint progressive censoring scheme. The present study deals with the statistical inferences for the balanced jointly progressive type-II censored two Lindley populations. Maximum likelihood estimators of the model parameters are derived and construction of the asymptotic confidence intervals based on the observed Fisher information matrix is discussed. From the Bayesian point of view, the posterior estimates of the unknown model parameters are calculated assuming the informative priors. A numerical study is carried out to evaluate the efficiency and performance of the proposed estimates. A real data set is analyzed to exemplify all the estimation techniques. Lastly, the criteria for an optimum censoring scheme are given.

为了在寿命测试和可靠性理论中进行比较寿命实验，联合审查方案在过去十年中受到了极大的欢迎。最近，统计文献中引入了一种新的改进联合渐进审查方案，称为平衡联合渐进审查方案。本研究涉及平衡联合渐进 II 型删失的两个 Lindley 种群的统计推论。导出了模型参数的最大似然估计量，并讨论了基于观察到的 Fisher 信息矩阵的渐近置信区间的构建。从贝叶斯的角度来看，未知模型参数的后验估计是在假设信息先验的情况下计算的。进行数值研究以评估拟议估计的效率和性能。分析一个真实的数据集来举例说明所有的估计技术。最后，给出了最佳审查方案的标准。