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New Scheme of Empirical Likelihood Method for Ranked Set Sampling: Applications to Two One‐Sample Problems 排序集抽样的经验似然法新方案:两个单样本问题的应用
IF 1.7 3区 数学 Q1 STATISTICS & PROBABILITY Pub Date : 2024-08-08 DOI: 10.1111/insr.12589
Soohyun Ahn, Xinlei Wang, Chul Moon, Johan Lim
We propose a novel empirical likelihood (EL) approach for ranked set sampling (RSS) that leverages the ranking structure and information of the RSS. Our new proposal suggests constraining the sum of the within‐stratum probabilities of each rank stratum to , where is the number of rank strata. The use of the additional constraints eliminates the need of subjective weight selection in unbalanced RSS and facilitates a seamless extension of the method for balanced RSS to unbalanced RSS. We apply our new proposal to testing one sample population mean and evaluate its performance through a numerical study and two real‐world data sets, examining obesity from body fat data and symmetry of dental size from human tooth size data. We further consider the extension of the proposed EL method to jackknife EL.
我们提出了一种新的排序集抽样(RSS)经验似然法(EL),它充分利用了 RSS 的排序结构和信息。我们的新提案建议将每个等级层的层内概率之和限制为 ,其中为等级层的数量。附加约束的使用消除了非平衡 RSS 中主观权重选择的需要,并有助于将平衡 RSS 的方法无缝扩展到非平衡 RSS。我们将新建议应用于测试一个样本人群的平均值,并通过数值研究和两个真实世界的数据集来评估其性能,这两个数据集分别是通过体脂数据研究肥胖问题和通过人类牙齿大小数据研究牙齿大小的对称性。我们还进一步考虑了将提议的 EL 方法扩展到千斤顶 EL 的问题。
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引用次数: 0
Validating an Index of Selection Bias for Proportions in Non‐Probability Samples 验证非概率样本中比例的选择偏差指数
IF 2 3区 数学 Q1 STATISTICS & PROBABILITY Pub Date : 2024-08-08 DOI: 10.1111/insr.12590
Angelina Hammon, Sabine Zinn
SummaryFast online surveys without sampling frames are becoming increasingly important in survey research. Their recruitment methods result in non‐probability samples. As the mechanism of data generation is always unknown in such samples, the problem of non‐ignorability arises making vgeneralisation of calculated statistics to the population of interest highly questionable. Sensitivity analyses provide a valuable tool to deal with non‐ignorability. They capture the impact of different sample selection mechanisms on target statistics. In 2019, Andridge and colleagues proposed an index to quantify potential (non‐ignorable) selection bias in proportions that combines the effects of different selection mechanisms. In this paper, we validate this index with an artificial non‐probability sample generated from a large empirical data set and additionally applied it to proportions estimated from data on current political attitudes arising from a real non‐probability sample selected via River sampling. We find a number of conditions that must be met for the index to perform meaningfully. When these requirements are fulfilled, the index shows an overall good performance in both of our applications in detecting and correcting present selection bias in estimated proportions. Thus, it provides a powerful measure for evaluating the robustness of results obtained from non‐probability samples.
摘要没有抽样框架的快速在线调查在调查研究中变得越来越重要。其招募方法会产生非概率样本。由于这类样本的数据生成机制总是未知的,因此出现了非可视性问题,这使得将计算出的统计数据归纳到相关人群中非常值得怀疑。敏感性分析为解决非可视性问题提供了一个宝贵的工具。它们可以捕捉不同样本选择机制对目标统计数据的影响。2019 年,Andridge 及其同事提出了一种指数,用于量化比例中潜在的(不可忽略的)选择偏差,该指数综合了不同选择机制的影响。在本文中,我们用一个从大型实证数据集生成的人工非概率样本验证了这一指数,并将其应用于从通过河流抽样选出的真实非概率样本所产生的当前政治态度数据中估算出的比例。我们发现,该指数必须满足一些条件才能发挥有意义的作用。在满足这些条件的情况下,该指数在检测和纠正估计比例中存在的选择偏差方面,在我们的两个应用中都表现出了良好的整体性能。因此,它为评估从非概率样本中获得的结果的稳健性提供了一个有力的衡量标准。
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引用次数: 0
An Interview With Peter Rousseeuw 彼得-鲁塞尤访谈录
IF 2 3区 数学 Q1 STATISTICS & PROBABILITY Pub Date : 2024-08-06 DOI: 10.1111/insr.12587
Mia Hubert
SummaryPeter J. Rousseeuw is a statistician known mainly for his work on robust statistics and cluster analysis. Among his creations are least trimmed squares regression, the minimum covariance determinant estimator, the partitioning around medoids clustering method and the silhouettes graphical display. Peter obtained his PhD in 1981 following research carried out at the ETH in Zürich, Switzerland, which led to a book on influence functions. Later, he was a professor at Delft University of Technology, The Netherlands, and at the University of Antwerp, Belgium. Next, he was a researcher at Renaissance Technologies in New York for over a decade. He then returned to Belgium as a full professor at KU Leuven, until becoming emeritus in 2022. He is an elected member of the International Statistical Institute and a fellow of the Institute of Mathematical Statistics and the American Statistical Association. In the course of his career, Peter published three books and over 200 papers, together receiving over 100 000 citations. He was awarded the George Box Medal for Business and Industrial Statistics, the Research Medal of the International Federation of Classification Societies, the Frank Wilcoxon Prize, and twice the Jack Youden Prize. Recently, Peter received the 2024 ASA Noether Distinguished Scholar Award for nonparametric statistics. His former PhD students include Annick Leroy, Rik Lopuhaä, Geert Molenberghs, Christophe Croux, Mia Hubert, Stefan Van Aelst, Tim Verdonck and Jakob Raymaekers. He is the creator and sole sponsor of the Rousseeuw Prize for Statistics, which was first handed out by the King of Belgium in 2022.
摘要彼得-J-鲁塞乌是一位统计学家,主要以稳健统计和聚类分析方面的工作而闻名。他的研究成果包括最小修剪平方回归、最小协方差行列式估计器、围绕中间值的分区聚类方法和剪影图形显示。1981 年,彼得在瑞士苏黎世联邦理工学院完成研究后获得博士学位,并出版了一本关于影响函数的著作。之后,他在荷兰代尔夫特理工大学和比利时安特卫普大学担任教授。之后,他在纽约的文艺复兴科技公司担任了十多年的研究员。之后,他回到比利时鲁汶大学担任全职教授,直到 2022 年成为名誉教授。他是国际统计学会的当选成员,也是数学统计学会和美国统计学会的研究员。在他的职业生涯中,彼得出版了三本专著,发表了 200 多篇论文,共获得 100 000 多次引用。他曾获得乔治-博克斯商业和工业统计学奖章、国际分类协会联合会研究奖章、弗兰克-威尔库克森奖,并两次获得杰克-尤登奖。最近,彼得获得了 2024 年美国统计学会诺特非参数统计杰出学者奖。他以前的博士生包括 Annick Leroy、Rik Lopuhaä、Geert Molenberghs、Christophe Croux、Mia Hubert、Stefan Van Aelst、Tim Verdonck 和 Jakob Raymaekers。他是罗塞休统计奖的创立者和唯一赞助人,该奖于 2022 年由比利时国王首次颁发。
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引用次数: 0
Reinforcement Learning in Modern Biostatistics: Constructing Optimal Adaptive Interventions 现代生物统计学中的强化学习:构建最佳自适应干预措施
IF 2 3区 数学 Q1 STATISTICS & PROBABILITY Pub Date : 2024-07-30 DOI: 10.1111/insr.12583
Nina Deliu, Joseph Jay Williams, Bibhas Chakraborty
SummaryIn recent years, reinforcement learning (RL) has acquired a prominent position in health‐related sequential decision‐making problems, gaining traction as a valuable tool for delivering adaptive interventions (AIs). However, in part due to a poor synergy between the methodological and the applied communities, its real‐life application is still limited and its potential is still to be realised. To address this gap, our work provides the first unified technical survey on RL methods, complemented with case studies, for constructing various types of AIs in healthcare. In particular, using the common methodological umbrella of RL, we bridge two seemingly different AI domains, dynamic treatment regimes and just‐in‐time adaptive interventions in mobile health, highlighting similarities and differences between them and discussing the implications of using RL. Open problems and considerations for future research directions are outlined. Finally, we leverage our experience in designing case studies in both areas to showcase the significant collaborative opportunities between statistical, RL and healthcare researchers in advancing AIs.
摘要 近年来,强化学习(RL)在与健康相关的顺序决策问题中占据了重要地位,作为提供适应性干预(AIs)的重要工具而备受关注。然而,部分由于方法论界和应用界之间的协同作用不佳,其在现实生活中的应用仍然有限,其潜力仍有待发挥。为了弥补这一不足,我们的工作首次提供了统一的 RL 方法技术调查,并辅以案例研究,用于构建医疗保健领域的各类人工智能。特别是,我们利用 RL 这一共同的方法论保护伞,将移动医疗中的动态治疗方案和及时自适应干预这两个看似不同的人工智能领域联系起来,强调了它们之间的异同,并讨论了使用 RL 的意义。我们还概述了有待解决的问题以及未来研究方向的考虑因素。最后,我们利用在这两个领域设计案例研究的经验,展示了统计、RL 和医疗保健研究人员在推进人工智能方面的重要合作机会。
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引用次数: 0
Summary characteristics for multivariate function‐valued spatial point process attributes 多元函数值空间点过程属性的简要特征
IF 2 3区 数学 Q1 STATISTICS & PROBABILITY Pub Date : 2024-07-22 DOI: 10.1111/insr.12582
Matthias Eckardt, Carles Comas, Jorge Mateu
SummaryPrompted by modern technologies in data acquisition, the statistical analysis of spatially distributed function‐valued quantities has attracted a lot of attention in recent years. In particular, combinations of functional variables and spatial point processes yield a highly challenging instance of such modern spatial data applications. Indeed, the analysis of spatial random point configurations, where the point attributes themselves are functions rather than scalar‐valued quantities, is just in its infancy, and extensions to function‐valued quantities still remain limited. In this view, we extend current existing first‐ and second‐order summary characteristics for real‐valued point attributes to the case where, in addition to every spatial point location, a set of distinct function‐valued quantities are available. Providing a flexible treatment of more complex point process scenarios, we build a framework to consider points with multivariate function‐valued marks, and develop sets of different cross‐function (cross‐type and also multi‐function cross‐type) versions of summary characteristics that allow for the analysis of highly demanding modern spatial point process scenarios. We consider estimators of the theoretical tools and analyse their behaviour through a simulation study and two real data applications.
摘要近年来,在现代数据采集技术的推动下,对空间分布的函数值量进行统计分析引起了广泛关注。特别是,函数变量与空间点过程的组合产生了极具挑战性的现代空间数据应用实例。事实上,对空间随机点配置的分析,即点属性本身是函数而非标量的分析,才刚刚起步,对函数值量的扩展仍然有限。因此,我们将现有的实值点属性一阶和二阶汇总特征扩展到除了每个空间点位置外,还有一组不同的函数值量的情况。为了灵活处理更复杂的点过程情景,我们建立了一个框架,以考虑具有多元函数值标记的点,并开发了不同的跨函数(交叉类型以及多元函数交叉类型)版本的汇总特征集,从而可以分析要求极高的现代空间点过程情景。我们考虑了理论工具的估算器,并通过模拟研究和两个真实数据应用分析了它们的行为。
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引用次数: 0
Controlled Epidemiological Studies Marie Reilly Chapman & Hall/CRC Biostatistics Series, CRC Press, 2023, xxxii + 439 pages, £115/$150, hardcover. ISBN: 978-0-367-18678-4 (hbk) 受控流行病学研究MarieReillyChapman & Hall/CRC Biostatistics Series,CRC Press,2023,xxxii + 439 页,115 英镑/150 美元,精装。ISBN: 978-0-367-18678-4 (hbk)
IF 1.7 3区 数学 Q1 STATISTICS & PROBABILITY Pub Date : 2024-06-19 DOI: 10.1111/insr.12586
Reijo Sund
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引用次数: 0
Post-Shrinkage Strategies in Statistical and Machine Learning for High Dimensional Data Syed Ejaz Ahmed, Feryaal Ahmed, Bahadir Yüzbaşı. Chapman & Hall/CRC Press, 2023, 408 page, £125/$160, hardback ISBN: 9780367763442 高维数据统计和机器学习中的收缩后策略》Syed EjazAhmed, FeryaalAhmed, BahadirYüzbaşı.Chapman & Hall/CRC Press,2023,408 页,125 英镑/160 美元,精装 ISBN:9780367763442
IF 1.7 3区 数学 Q1 STATISTICS & PROBABILITY Pub Date : 2024-06-19 DOI: 10.1111/insr.12584
Ravindra Khattree
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引用次数: 0
Soccer Analytics: An Introduction Using R. Clive BeggsChapman & Hall/CRC, 2024, xvi + 380 pages, £49.99, hardcover ISBN: 978-1-0323-5758-4 足球分析:Clive BeggsChapman & Hall/CRC, 2024, xvi + 380 pages, £49.99, 精装 ISBN: 978-1-0323-5758-4
IF 1.7 3区 数学 Q1 STATISTICS & PROBABILITY Pub Date : 2024-06-17 DOI: 10.1111/insr.12585
Antony Unwin
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引用次数: 0
A Conversation With Marc Hallin 与马克-哈林的对话
IF 1.7 3区 数学 Q1 STATISTICS & PROBABILITY Pub Date : 2024-06-10 DOI: 10.1111/insr.12576
Christian Genest

Marc Hallin was born in Ghent, Belgium, on 23 April 1949. He holds a Licence en Sciences mathématiques (1971), a Licence en Sciences actuarielles (1972), and a Doctorat en Sciences (1976) from the Université libre de Bruxelles. He then rose through the professorial ranks at the same institution, being successively Premier Assistant (1977–1978), Chargé de Cours associé (1978–1984), Chargé de Cours (1984–1988), Professeur ordinaire (1988–2009), and Professeur ordinaire émérite upon retirement in 2009. Throughout his career, he supervised 25 PhD students and held invited positions at many institutions of high standing in Austria, Belgium, England, France, Hong Kong, Italy, Portugal, Spain, Switzerland, and the USA (most notably Princeton). A renown expert in time series analysis, econometrics, and non-parametric inference, Marc is the author or coauthor of over 250 research papers, for which he received numerous awards, including the Medal of the Faculty of Mathematics and Physics of Charles University in Prague (2006), a Humboldt Forschungspreis from the Alexander von Humboldt Foundation (2012), the Pierre-Simon de Laplace Award of the Société française de Statistique (2022), and the Gottfried E. Noether Distinguished Scholar Award of the American Statistical Association (2022). He gave several distinguished lecture series, including the 2017 Hermann Otto Hirschfeld Lecture Series at the Humboldt Universität zu Berlin, and the 2018 Mahalanobis Memorial Lecture at the Indian Statistical Institute. Over the years, he co-edited a dozen books and proceedings, and served on the editorial boards of several journals, including the Journal of Time Series Analysis (1994–2009), the Journal of Econometrics (2013–2019), the Journal of Business and Economic Statistics (2018–), and the Theory and Methods Section of the Journal of the American Statistical Association (2005–). He is a Fellow of the Institute of Mathematical Statistics (1990) and the American Statistical Association (1997), as well as a member of the Classe des Sciences of the Royal Academy of Belgium (1999). Marc has been a member of the International Statistical Institute since 1985 and was (co-) Editor-in-Chief of the International Statistical Review from 2010 to 2015.

马克-哈林于 1949 年 4 月 23 日出生于比利时根特。他拥有布鲁塞尔自由大学数学学士学位(1971 年)、精算学学士学位(1972 年)和科学博士学位(1976 年)。随后,他在同一所大学晋升为教授,先后担任首席助理(1977-1978 年)、助理课程主任(1978-1984 年)、课程主任(1984-1988 年)、普通教授(1988-2009 年),并于 2009 年退休。在他的职业生涯中,他指导了 25 名博士生,并在奥地利、比利时、英国、法国、香港、意大利、葡萄牙、西班牙、瑞士和美国(最著名的是普林斯顿大学)的许多著名机构担任特邀职务。作为时间序列分析、计量经济学和非参数推断领域的知名专家,马克撰写或与人合作撰写了 250 多篇研究论文,并因此获得了众多奖项,包括布拉格查尔斯大学数学和物理学院奖章(2006 年)、亚历山大-冯-洪堡基金会洪堡研究奖(2012 年)、法国统计学会皮埃尔-西蒙-德-拉普拉斯奖(2022 年)和美国统计学会戈特弗里德-诺特杰出学者奖(2022 年)。他举办了多个杰出系列讲座,包括2017年柏林洪堡大学赫尔曼-奥托-赫希菲尔德系列讲座和2018年印度统计研究所马哈拉诺比斯纪念讲座。多年来,他与他人合编了十几本书籍和论文集,并担任多家期刊的编委,包括《时间序列分析期刊》(1994-2009 年)、《计量经济学期刊》(2013-2019 年)、《商业与经济统计期刊》(2018- 年)以及《美国统计协会期刊》理论与方法部分(2005- 年)。他是数学统计研究所(1990 年)和美国统计协会(1997 年)的研究员,也是比利时皇家科学院科学院院士(1999 年)。自 1985 年以来,马克一直是国际统计学会会员,并在 2010 年至 2015 年期间担任《国际统计评论》(联合)主编。
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引用次数: 0
A Two-stage Bayesian Small Area Estimation Approach for Proportions 比例的两阶段贝叶斯小面积估计方法
IF 1.7 3区 数学 Q1 STATISTICS & PROBABILITY Pub Date : 2024-06-03 DOI: 10.1111/insr.12572
James Hogg, Jessica Cameron, Susanna Cramb, Peter Baade, Kerrie Mengersen

With the rise in popularity of digital Atlases to communicate spatial variation, there is an increasing need for robust small area estimates. However, current small area estimation methods suffer from various modelling problems when data are very sparse or when estimates are required for areas with very small populations. These issues are particularly heightened when modelling proportions. Additionally, recent work has shown significant benefits in modelling at both the individual and area levels. We propose a two-stage Bayesian hierarchical small area estimation approach for proportions that can account for survey design, reduce direct estimate instability and generate prevalence estimates for small areas with no survey data. Using a simulation study, we show that, compared with existing Bayesian small area estimation methods, our approach can provide optimal predictive performance (Bayesian mean relative root mean squared error, mean absolute relative bias and coverage) of proportions under a variety of data conditions, including very sparse and unstable data. To assess the model in practice, we compare modelled estimates of current smoking prevalence for 1,630 small areas in Australia using the 2017–2018 National Health Survey data combined with 2016 census data.

随着数字地图集在传播空间变化方面的普及,对可靠的小面积估算的需求日益增加。然而,当数据非常稀少或需要对人口极少的地区进行估算时,目前的小面积估算方法就会遇到各种建模问题。这些问题在建立比例模型时尤为突出。此外,最近的研究表明,在个体和区域两个层面建模都有很大的好处。我们提出了一种两阶段贝叶斯分层小区域比例估算方法,该方法可以考虑调查设计,减少直接估算的不稳定性,并为没有调查数据的小区域生成流行率估算。通过模拟研究,我们表明,与现有的贝叶斯小范围估计方法相比,我们的方法可以在各种数据条件下(包括非常稀少和不稳定的数据)提供最佳的比例预测性能(贝叶斯平均相对均方根误差、平均绝对相对偏差和覆盖率)。为了在实践中评估该模型,我们使用 2017-2018 年全国健康调查数据和 2016 年人口普查数据,比较了澳大利亚 1630 个小地区当前吸烟率的模型估计值。
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引用次数: 0
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International Statistical Review
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