Ordered ranked set sample and applications to statistical inference

有序排序集样本及其在统计推断中的应用

• 批准号: 327517-2006
• 负责人: Li, Tao
• 金额: $ 0.58万
• 依托单位: St. Francis Xavier University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2006
• 资助国家: 加拿大
• 起止时间: 2006-01-01 至 2007-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=334394
• 关键词: Ordered; ranked; set; sample; applications

Cost-effective sampling methods are of major concern in statistics. Ranked set sampling (RSS) was first proposed in 1952. After being forgotten for quite a while, the value of RSS was rediscovered in recent years because of its cost-effective nature. Now, RSS method attracts practical interest in areas such as agriculture, forestry, ecological science, environmental science, and even medical studies. Until recently, the publications and research about ranked set sampling are based on ranked set sample itself or on asymptotical properties of order statistics of ranked set sample. But in some practical problems, the order statistics of RSS (ORSS) other than the RSS itself are desired. In the past few years, we successfully derived the distribution of ORSS, and applied it to somce statistical inferences. Part of this proposal is to keep the momentum and to explore more applications of ORSS to statistical inference. Moreover, we will generalize our work to imperfect ranking, which is more suitable for practical problems.

具有成本效益的抽样方法是统计学中的主要关切。Ranked Set Sampling（RSS）于1952年首次提出。在被遗忘了一段时间之后，RSS的价值在近年来被重新发现，因为它具有成本效益。现在，RSS方法在农业、林业、生态科学、环境科学甚至医学研究等领域引起了实际兴趣。直到最近，有关秩集抽样的出版物和研究都是基于秩集样本本身或秩集样本顺序统计量的渐近性质。但在一些实际问题中，除了RSS本身之外，还需要RSS的顺序统计量（ORSS）。在过去的几年中，我们成功地导出了ORSS的分布，并将其应用于一些统计推断。这个建议的一部分是保持势头，并探索更多的应用ORSS的统计推断。此外，我们将我们的工作推广到不完美的排名，这是更适合于实际问题。