排序集抽样下Inverse Rayleigh分布的Fisher信息量及其在参数估计中的应用
Fisher Information for Inverse Rayleigh Distribution in Ranked Set Sampling with Application to Parameter Estimation
查看参考文献24篇
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文摘
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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. |
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其他语种文摘
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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. |
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来源
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系统科学与数学
,2022,42(1):141-152 【核心库】
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关键词
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排序集抽样
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极大似然估计
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最优线性无偏估计
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最优线性同变估计
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地址
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1.
吉首大学数学与统计学院, 吉首, 416000
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湖南医药学院医学人文与信息管理学院, 怀化, 418000
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语种
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中文 |
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文献类型
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研究性论文 |
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ISSN
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1000-0577 |
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学科
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数学 |
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基金
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国家自然科学基金国家杰出青年科学基金
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湖南省自然科学青年基金
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湖南省普通高校青年骨干教师培养对象计划项目
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2020年湖南省教学改革项目
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吉首大学2020年度研究生校级科研项目
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吉首大学2021年实验室开放基金项目
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文献收藏号
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CSCD:7130545
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参考文献 共
24
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