文章分别在简单随机抽样和排序集抽样下研究 了Inverse Rayleigh分布中对应样本所含刻度参数$\theta$的Fisher信息量. 数值结果表示, 同等样本容量的排序集样本比简单随机样本提供更多关于$\theta$的信息. 接着分别基于简单随机样本和排序集样本构造了$\theta$的一些优良估计, 并对估计结果进行了数值比较.

In this article, Fisher information in the corresponding samples about the scale parameter $\theta$ from Inverse Rayleigh distribution under simple random sampling and ranked set sampling will be respectively studied. The numerical results show ranked set sample carry more information about $\theta$ than a simple random sample of equivalent size. Then we respectively use the simple random sample and ranked set sample to construct some optimal estimators of $\theta$. The numerical results of these estimators are compared.