Statistical Science最新文献_第6页

Aitchison’s Compositional Data Analysis 40 Years on: A Reappraisal 艾奇逊40年来的成分数据分析：再评价

IF 5.7 1区数学

Statistical Science Pub Date : 2022-01-13 DOI: 10.1214/22-sts880

M. Greenacre, E. Grunsky, J. Bacon-Shone, Ionas Erb, T. Quinn

{"title":"Aitchison’s Compositional Data Analysis 40 Years on: A Reappraisal","authors":"M. Greenacre, E. Grunsky, J. Bacon-Shone, Ionas Erb, T. Quinn","doi":"10.1214/22-sts880","DOIUrl":"https://doi.org/10.1214/22-sts880","url":null,"abstract":"The development of John Aitchison's approach to compositional data analysis is followed since his paper read to the Royal Statistical Society in 1982. Aitchison's logratio approach, which was proposed to solve the problematic aspects of working with data with a fixed sum constraint, is summarized and reappraised. It is maintained that the properties on which this approach was originally built, the main one being subcompositional coherence, are not required to be satisfied exactly -- quasi-coherence is sufficient, that is near enough to being coherent for all practical purposes. This opens up the field to using simpler data transformations, such as power transformations, that permit zero values in the data. The additional property of exact isometry, which was subsequently introduced and not in Aitchison's original conception, imposed the use of isometric logratio transformations, but these are complicated and problematic to interpret, involving ratios of geometric means. If this property is regarded as important in certain analytical contexts, for example unsupervised learning, it can be relaxed by showing that regular pairwise logratios, as well as the alternative quasi-coherent transformations, can also be quasi-isometric, meaning they are close enough to exact isometry for all practical purposes. It is concluded that the isometric and related logratio transformations such as pivot logratios are not a prerequisite for good practice, although many authors insist on their obligatory use. This conclusion is fully supported here by case studies in geochemistry and in genomics, where the good performance is demonstrated of pairwise logratios, as originally proposed by Aitchison, or Box-Cox power transforms of the original compositions where no zero replacements are necessary.","PeriodicalId":51172,"journal":{"name":"Statistical Science","volume":" ","pages":""},"PeriodicalIF":5.7,"publicationDate":"2022-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47827621","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 11

In Praise (and Search) of J. V. Uspensky 在赞美（和搜索）J·V·乌斯彭斯基

IF 5.7 1区数学

Statistical Science Pub Date : 2022-01-01 DOI: 10.1214/22-sts866

P. Diaconis, S. Zabell

引用次数: 1

Bayesian Adaptive Randomization with Compound Utility Functions 具有复合效用函数的贝叶斯自适应随机化

IF 5.7 1区数学

Statistical Science Pub Date : 2022-01-01 DOI: 10.1214/21-sts848

A. Giovagnoli, I. Verdinelli

{"title":"Bayesian Adaptive Randomization with Compound Utility Functions","authors":"A. Giovagnoli, I. Verdinelli","doi":"10.1214/21-sts848","DOIUrl":"https://doi.org/10.1214/21-sts848","url":null,"abstract":"Bayesian adaptive designs formalize the use of previous knowledge at the planning stage of an experiment, permitting recursive updating of the prior information. They often make use of utility functions, while also allowing for randomization. We review frequentist and Bayesian adaptive design methods and show that some of the frequentist adaptive design methodology can also be employed in a Bayesian context. We use compound utility functions for the Bayesian designs, that are a trade-off between an optimal design information criterion, that represents the acquisition of scientific knowledge, and some ethical or utilitarian gain. We focus on binary response models on two groups with independent Beta prior distributions on the success probabilities. The treatment allocation is shown to converge to the allocation that produces the maximum utility. Special cases are the Bayesian Randomized (simply) Adaptive Compound (BRAC) design, an extension of the frequentist Sequential Maximum Likelihood (SML) design and the Bayesian Randomized (doubly) Adaptive Compound Efficient (BRACE) design, a generalization of the Efficient Randomized Adaptive DEsign (ERADE). Numerical simulation studies compare BRAC with BRACE when D-optimality is the information criterion chosen. In analogy with the frequentist theory, the BRACE-D design appears more efficient than the BRAC-D design.","PeriodicalId":51172,"journal":{"name":"Statistical Science","volume":" ","pages":""},"PeriodicalIF":5.7,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46839550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

On Some Connections Between Esscher’s Tilting, Saddlepoint Approximations, and Optimal Transportation: A Statistical Perspective Esscher倾斜度、鞍点近似和最优运输之间的一些联系：一个统计视角

IF 5.7 1区数学

Statistical Science Pub Date : 2022-01-01 DOI: 10.1214/21-sts847

D. La Vecchia, E. Ronchetti, A. Ilievski

{"title":"On Some Connections Between Esscher’s Tilting, Saddlepoint Approximations, and Optimal Transportation: A Statistical Perspective","authors":"D. La Vecchia, E. Ronchetti, A. Ilievski","doi":"10.1214/21-sts847","DOIUrl":"https://doi.org/10.1214/21-sts847","url":null,"abstract":"We showcase some unexplored connections between saddlepoint approximations, measure transportation, and some key topics in information theory. To bridge these different areas, we review selectively the fundamental results available in the literature and we draw the connections between them. First, for a generic random variable we explain how the Esscher’s tilting (which is a result rooted in information theory and lies at the heart of saddlepoint approximations) is connected to the solution of the dual Kantorovich problem (which lies at the heart of measure transportation theory) via the Legendre transform of the cumulant generating function. Then, we turn to statistics: we illustrate the connections when the random variable we work with is the sample mean or a statistic with known (either exact or approximate) cumulant generating function. The unveiled connections offer the possibility to look at the saddlepoint approximations from different angles, putting under the spotlight the links to convex analysis (via the notion of duality) or differential geometry (via the notion of geodesic). We feel these possibilities can trigger a knowledge transfer between statistics and other disciplines, like mathematics and machine learning. A discussion on some topics for future research concludes the paper.","PeriodicalId":51172,"journal":{"name":"Statistical Science","volume":" ","pages":""},"PeriodicalIF":5.7,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43550808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Approximating Bayes in the 21st Century 在21世纪近似贝叶斯

IF 5.7 1区数学

Statistical Science Pub Date : 2021-12-20 DOI: 10.1214/22-STS875

G. Martin, David T. Frazier, C. Robert

引用次数: 8

Real-Time Estimation of COVID-19 Infections: Deconvolution and Sensor Fusion 新冠肺炎感染的实时估计：反卷积和传感器融合

IF 5.7 1区数学

Statistical Science Pub Date : 2021-12-13 DOI: 10.1214/22-sts856

M. Jahja, Andrew Chin, R. Tibshirani

引用次数: 6

Robustness by Reweighting for Kernel Estimators: An Overview 核估计的重加权鲁棒性：综述

IF 5.7 1区数学

Statistical Science Pub Date : 2021-11-01 DOI: 10.1214/20-sts816

K. De Brabanter, Joseph De Brabanter

引用次数: 0

A Conversation with Don Dawson 与唐·道森的对话

IF 5.7 1区数学

Statistical Science Pub Date : 2021-11-01 DOI: 10.1214/21-sts821

Bouchra R. Nasri, B. Rémillard, B. Szyszkowicz, Jean Vaillancourt

{"title":"A Conversation with Don Dawson","authors":"Bouchra R. Nasri, B. Rémillard, B. Szyszkowicz, Jean Vaillancourt","doi":"10.1214/21-sts821","DOIUrl":"https://doi.org/10.1214/21-sts821","url":null,"abstract":". Donald Andrew Dawson (Don Dawson) was born in 1937. He received a bachelor’s degree in 1958 and a master’s degree in 1959 from McGill University and a Ph.D. in 1963 from M.I.T. under the supervision of Henry P. McKean, Jr. Following an appointment at McGill University as professor for 7 years, he joined Carleton University in 1970 where he remained for the rest of his career. Among his many contributions to the theory of stochastic processes, his work leading to the creation of the Dawson–Watanabe superprocess and the analysis of its remarkable properties in describing the evolution in space and time of populations, stand out as milestones of modern probability theory. His numerous papers span the whole gamut of contemporary hot areas, notably the study of stochastic evolution equations, measure-valued processes, McKean–Vlasov limits, hierarchical structures, super-Brownian motion, as well as branching, catalytic and historical processes. He has over 200 refereed publications and 8 monographs, with an impressive number of citations, more than 7000. He is elected Fellow of the Royal Society and of the Royal Society of Canada, as well as Gold medalist of the Statistical Society of Canada and elected Fellow of the Institute of Mathematical Statistics. We realized this interview to celebrate the outstanding contribution of Don Dawson to 50 years of Stochastics at Carleton University.","PeriodicalId":51172,"journal":{"name":"Statistical Science","volume":" ","pages":""},"PeriodicalIF":5.7,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41927993","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Symmetrical and Non-symmetrical Variants of Three-Way Correspondence Analysis for Ordered Variables 有序变量三向对应分析的对称与非对称变体

IF 5.7 1区数学

Statistical Science Pub Date : 2021-11-01 DOI: 10.1214/20-sts814

Rosaria Lombardo Eric J Beh, P. Kroonenberg

引用次数: 2

Variational Inference for Cutting Feedback in Misspecified Models 未指定模型中切削反馈的变分推理

IF 5.7 1区数学

Statistical Science Pub Date : 2021-08-25 DOI: 10.1214/23-sts886

Xue Yu, D. Nott, M. Smith

引用次数: 10