We propose an improved adaptive Type-II progressive censoring scheme, which can effectively guarantee that the test time will not exceed a certain threshold time. And the adaptive Type-II progressive censoring scheme is its special case. Based on this censoring scheme, the parameters, reliability and hazard functions of Burr-XII distribution were estimated. Firstly, we obtain the estimators of parameters, reliability and hazard functions by using the maximum likelihood estimation method. Subsequently, the approximate confidence intervals of the above statistics are obtained by using the asymptotic normality properties of maximum likelihood estimation and the Bootstrap method. Furthermore, based on the square loss function and the LINEX loss function, the point estimators and approximate confidence intervals of parameters are derived by using Bayesian method. A real data is used to illustrate and validate the advantages of the proposed improved adaptive Type-II progressive censoring scheme. Finally, the Monte Carlo simulations are performed to compare the behavior of improved adaptive Type-II progressive censoring scheme with adaptive Type-II progressive censoring scheme for different evaluation methods.

我们提出了一种改进的自适应II型渐进式检查方案，该方案可以有效地保证测试时间不会超过某个阈值时间。自适应II型渐进式审查方案是其特例。基于该检查方案，估计了Burr-XII分布的参数，可靠性和危害函数。首先，通过最大似然估计方法得到参数，可靠性和危害函数的估计量。随后，使用最大似然估计的渐近正态性和Bootstrap方法获得上述统计数据的近似置信区间。此外，基于平方损失函数和LINEX损失函数，利用贝叶斯方法得到参数的点估计量和近似置信区间。实际数据用于说明和验证所提出的改进的自适应Type-II渐进式检查方案的优点。最后，进行了蒙特卡洛模拟，以比较改进的自适应II型渐进式检查方案与自适应II型渐进式检查方案针对不同评估方法的行为。