中文摘要：

本文研究在循序-I型删失数据情形下Gompertz—sinh分布的统计推断问题．利用处理删失数据的EM算法，讨论Gompertz—sinh分布未知参数的最大似然估计（MLE）问题．为了讨论未知参数的近似置信区间估计，基于遗失信息原则，给出观测Fisher信息矩阵．为了演示本文的方法，给出相关数值模拟结果和一个真实数据实例．

英文摘要：

In this article, the statistical inference problems on the Gompertz-sinh distribution with a progressive type-I censoring scheme are studied.The EM algorithm is applied to deal with the incomplete data case for computing MLEs. Using a missing information principle, the observed Fisher information matrix is obtained for constructing the asymptotic confidence interval of parameters. The method is discussed via some simulation studies and an example is provided for demonstrative purposes.