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Author : Bradley Efron
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (272 download)
Download or read book Selection and Estimation for Large-scale Simultaneous Inference written by Bradley Efron and published by . This book was released on 2004 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tony Cai
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)
Download or read book Large-Scale Global and Simultaneous Inference written by Tony Cai and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Due to rapid technological advances, researchers are now able to collect and analyze ever larger data sets. Statistical inference for big data often requires solving thousands or even millions of parallel inference problems simultaneously. This poses significant challenges and calls for new principles, theories, and methodologies. This review provides a selective survey of some recently developed methods and results for large-scale statistical inference, including detection, estimation, and multiple testing. We begin with the global testing problem, where the goal is to detect the existence of sparse signals in a data set, and then move to the problem of estimating the proportion of nonnull effects. Finally, we focus on multiple testing with false discovery rate (FDR) control. The FDR provides a powerful and practical approach to large-scale multiple testing and has been successfully used in a wide range of applications. We discuss several effective data-driven procedures and also present efficient strategies to handle various grouping, hierarchical, and dependency structures in the data.
Author : Bradley Efron
Publisher :
ISBN 13 :
Total Pages : 276 pages
Book Rating : 4.:/5 (113 download)
Download or read book Large-Scale Inference written by Bradley Efron and published by . This book was released on 2010 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a new age for statistical inference, where modern scientific technology such as microarrays and fMRI machines routinely produce thousands and sometimes millions of parallel data sets, each with its own estimation or testing problem. Doing thousands of problems at once is more than repeated application of classical methods. Taking an empirical Bayes approach, Bradley Efron, inventor of the bootstrap, shows how information accrues across problems in a way that combines Bayesian and frequentist ideas. Estimation, testing and prediction blend in this framework, producing opportunities for new methodologies of increased power. New difficulties also arise, easily leading to flawed inferences. This book takes a careful look at both the promise and pitfalls of large-scale statistical inference, with particular attention to false discovery rates, the most successful of the new statistical techniques. Emphasis is on the inferential ideas underlying technical developments, illustrated using a large number of real examples.
Author : Bradley Efron
Publisher : Cambridge University Press
ISBN 13 : 1139492136
Total Pages : pages
Book Rating : 4.1/5 (394 download)
Download or read book Large-Scale Inference written by Bradley Efron and published by Cambridge University Press. This book was released on 2012-11-29 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We live in a new age for statistical inference, where modern scientific technology such as microarrays and fMRI machines routinely produce thousands and sometimes millions of parallel data sets, each with its own estimation or testing problem. Doing thousands of problems at once is more than repeated application of classical methods. Taking an empirical Bayes approach, Bradley Efron, inventor of the bootstrap, shows how information accrues across problems in a way that combines Bayesian and frequentist ideas. Estimation, testing and prediction blend in this framework, producing opportunities for new methodologies of increased power. New difficulties also arise, easily leading to flawed inferences. This book takes a careful look at both the promise and pitfalls of large-scale statistical inference, with particular attention to false discovery rates, the most successful of the new statistical techniques. Emphasis is on the inferential ideas underlying technical developments, illustrated using a large number of real examples.
Author : Bradley Efron
Publisher :
ISBN 13 :
Total Pages : 22 pages
Book Rating : 4.:/5 (587 download)
Download or read book Large-scale Simultaneous Hypothesis Testing written by Bradley Efron and published by . This book was released on 2003 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hermann Locarek-Junge
Publisher : Springer Science & Business Media
ISBN 13 : 3642107451
Total Pages : 825 pages
Book Rating : 4.6/5 (421 download)
Download or read book Classification as a Tool for Research written by Hermann Locarek-Junge and published by Springer Science & Business Media. This book was released on 2010-08-03 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clustering and Classification, Data Analysis, Data Handling and Business Intelligence are research areas at the intersection of statistics, mathematics, computer science and artificial intelligence. They cover general methods and techniques that can be applied to a vast set of applications such as in business and economics, marketing and finance, engineering, linguistics, archaeology, musicology, biology and medical science. This volume contains the revised versions of selected papers presented during the 11th Biennial IFCS Conference and 33rd Annual Conference of the German Classification Society (Gesellschaft für Klassifikation - GfKl). The conference was organized in cooperation with the International Federation of Classification Societies (IFCS), and was hosted by Dresden University of Technology, Germany, in March 2009.
Author :
Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (555 download)
Download or read book Statistica Sinica written by and published by . This book was released on 2009 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Xinping Cui
Publisher : CRC Press
ISBN 13 : 0429633882
Total Pages : 418 pages
Book Rating : 4.4/5 (296 download)
Download or read book Handbook of Multiple Comparisons written by Xinping Cui and published by CRC Press. This book was released on 2021-11-18 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by experts that include originators of some key ideas, chapters in the Handbook of Multiple Testing cover multiple comparison problems big and small, with guidance toward error rate control and insights on how principles developed earlier can be applied to current and emerging problems. Some highlights of the coverages are as follows. Error rate control is useful for controlling the incorrect decision rate. Chapter 1 introduces Tukey's original multiple comparison error rates and point to how they have been applied and adapted to modern multiple comparison problems as discussed in the later chapters. Principles endure. While the closed testing principle is more familiar, Chapter 4 shows the partitioning principle can derive confidence sets for multiple tests, which may become important as the profession goes beyond making decisions based on p-values. Multiple comparisons of treatment efficacy often involve multiple doses and endpoints. Chapter 12 on multiple endpoints explains how different choices of endpoint types lead to different multiplicity adjustment strategies, while Chapter 11 on the MCP-Mod approach is particularly useful for dose-finding. To assess efficacy in clinical trials with multiple doses and multiple endpoints, the reader can see the traditional approach in Chapter 2, the Graphical approach in Chapter 5, and the multivariate approach in Chapter 3. Personalized/precision medicine based on targeted therapies, already a reality, naturally leads to analysis of efficacy in subgroups. Chapter 13 draws attention to subtle logical issues in inferences on subgroups and their mixtures, with a principled solution that resolves these issues. This chapter has implication toward meeting the ICHE9R1 Estimands requirement. Besides the mere multiple testing methodology itself, the handbook also covers related topics like the statistical task of model selection in Chapter 7 or the estimation of the proportion of true null hypotheses (or, in other words, the signal prevalence) in Chapter 8. It also contains decision-theoretic considerations regarding the admissibility of multiple tests in Chapter 6. The issue of selected inference is addressed in Chapter 9. Comparison of responses can involve millions of voxels in medical imaging or SNPs in genome-wide association studies (GWAS). Chapter 14 and Chapter 15 provide state of the art methods for large scale simultaneous inference in these settings.
Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (946 download)
Download or read book Simultaneous Inference, and Ranking Selection Procedure: Bayes and Empirical Bayes Approach written by and published by . This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The research on simultaneous inference and ranking and selection procedures is important and relevant in comparing several populations (products, alternatives) in terms of their intrinsic quality or worth. This report embodies the research accomplishments in this broad area. The main contributions deal with newly developed ranking, selection and testing procedures based on Bayes and empirical Bayes approach. During the period April 1995 to September 2000, twenty-five research papers were completed by the PI and collaborators. Of these fifteen have been published and or accepted for publication in refereed journals and refereed conference proceedings volumes. The problems studied deal with a wide range of statistical models such as normal, Bernoulli, Poisson, and logistic distributions. In other papers, the statistical models are quite general in that the distributions are not specified but may belong to a broad family such as the positive or the general exponential family of distributions. One may want to know how good the empirical Bayes procedures are. This question is answered in terms of the convergence rate of the regret risk associated with empirical Bayes procedures. In general, it is found that the rate is optimal or very close to the optimal, where the optimal rate is the best achievable rate under certain conditions.
Author : Zheng Gao
Publisher : Springer Nature
ISBN 13 : 3030809641
Total Pages : 147 pages
Book Rating : 4.0/5 (38 download)
Download or read book Concentration of Maxima and Fundamental Limits in High-Dimensional Testing and Inference written by Zheng Gao and published by Springer Nature. This book was released on 2021-09-07 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified exposition of some fundamental theoretical problems in high-dimensional statistics. It specifically considers the canonical problems of detection and support estimation for sparse signals observed with noise. Novel phase-transition results are obtained for the signal support estimation problem under a variety of statistical risks. Based on a surprising connection to a concentration of maxima probabilistic phenomenon, the authors obtain a complete characterization of the exact support recovery problem for thresholding estimators under dependent errors.
Author : Kenneth Train
Publisher : Cambridge University Press
ISBN 13 : 0521766559
Total Pages : 399 pages
Book Rating : 4.5/5 (217 download)
Download or read book Discrete Choice Methods with Simulation written by Kenneth Train and published by Cambridge University Press. This book was released on 2009-07-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the new generation of discrete choice methods, focusing on the many advances that are made possible by simulation. Researchers use these statistical methods to examine the choices that consumers, households, firms, and other agents make. Each of the major models is covered: logit, generalized extreme value, or GEV (including nested and cross-nested logits), probit, and mixed logit, plus a variety of specifications that build on these basics. Simulation-assisted estimation procedures are investigated and compared, including maximum stimulated likelihood, method of simulated moments, and method of simulated scores. Procedures for drawing from densities are described, including variance reduction techniques such as anithetics and Halton draws. Recent advances in Bayesian procedures are explored, including the use of the Metropolis-Hastings algorithm and its variant Gibbs sampling. The second edition adds chapters on endogeneity and expectation-maximization (EM) algorithms. No other book incorporates all these fields, which have arisen in the past 25 years. The procedures are applicable in many fields, including energy, transportation, environmental studies, health, labor, and marketing.
Author : Valery A. Kalyagin
Publisher : Springer
ISBN 13 : 3319962477
Total Pages : 358 pages
Book Rating : 4.3/5 (199 download)
Download or read book Computational Aspects and Applications in Large-Scale Networks written by Valery A. Kalyagin and published by Springer. This book was released on 2018-08-24 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributions in this volume focus on computationally efficient algorithms and rigorous mathematical theories for analyzing large-scale networks. Researchers and students in mathematics, economics, statistics, computer science and engineering will find this collection a valuable resource filled with the latest research in network analysis. Computational aspects and applications of large-scale networks in market models, neural networks, social networks, power transmission grids, maximum clique problem, telecommunication networks, and complexity graphs are included with new tools for efficient network analysis of large-scale networks. This proceeding is a result of the 7th International Conference in Network Analysis, held at the Higher School of Economics, Nizhny Novgorod in June 2017. The conference brought together scientists, engineers, and researchers from academia, industry, and government.
Author : Frank Emmert-Streib
Publisher : Springer Nature
ISBN 13 : 3031133390
Total Pages : 582 pages
Book Rating : 4.0/5 (311 download)
Download or read book Elements of Data Science, Machine Learning, and Artificial Intelligence Using R written by Frank Emmert-Streib and published by Springer Nature. This book was released on 2023-10-03 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: The textbook provides students with tools they need to analyze complex data using methods from data science, machine learning and artificial intelligence. The authors include both the presentation of methods along with applications using the programming language R, which is the gold standard for analyzing data. The authors cover all three main components of data science: computer science; mathematics and statistics; and domain knowledge. The book presents methods and implementations in R side-by-side, allowing the immediate practical application of the learning concepts. Furthermore, this teaches computational thinking in a natural way. The book includes exercises, case studies, Q&A and examples.
Author : G. A. Young
Publisher : Cambridge University Press
ISBN 13 : 9780521839716
Total Pages : 240 pages
Book Rating : 4.8/5 (397 download)
Download or read book Essentials of Statistical Inference written by G. A. Young and published by Cambridge University Press. This book was released on 2005-07-25 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at advanced undergraduates and graduate students in mathematics and related disciplines, this engaging textbook gives a concise account of the main approaches to inference, with particular emphasis on the contrasts between them. It is the first textbook to synthesize contemporary material on computational topics with basic mathematical theory.
Author : S. Ejaz Ahmed
Publisher : Springer
ISBN 13 : 3319415735
Total Pages : 390 pages
Book Rating : 4.3/5 (194 download)
Download or read book Big and Complex Data Analysis written by S. Ejaz Ahmed and published by Springer. This book was released on 2017-03-21 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume conveys some of the surprises, puzzles and success stories in high-dimensional and complex data analysis and related fields. Its peer-reviewed contributions showcase recent advances in variable selection, estimation and prediction strategies for a host of useful models, as well as essential new developments in the field. The continued and rapid advancement of modern technology now allows scientists to collect data of increasingly unprecedented size and complexity. Examples include epigenomic data, genomic data, proteomic data, high-resolution image data, high-frequency financial data, functional and longitudinal data, and network data. Simultaneous variable selection and estimation is one of the key statistical problems involved in analyzing such big and complex data. The purpose of this book is to stimulate research and foster interaction between researchers in the area of high-dimensional data analysis. More concretely, its goals are to: 1) highlight and expand the breadth of existing methods in big data and high-dimensional data analysis and their potential for the advancement of both the mathematical and statistical sciences; 2) identify important directions for future research in the theory of regularization methods, in algorithmic development, and in methodologies for different application areas; and 3) facilitate collaboration between theoretical and subject-specific researchers.
Author : Ron Kohavi
Publisher : Cambridge University Press
ISBN 13 : 1108590098
Total Pages : 291 pages
Book Rating : 4.1/5 (85 download)
Download or read book Trustworthy Online Controlled Experiments written by Ron Kohavi and published by Cambridge University Press. This book was released on 2020-04-02 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Getting numbers is easy; getting numbers you can trust is hard. This practical guide by experimentation leaders at Google, LinkedIn, and Microsoft will teach you how to accelerate innovation using trustworthy online controlled experiments, or A/B tests. Based on practical experiences at companies that each run more than 20,000 controlled experiments a year, the authors share examples, pitfalls, and advice for students and industry professionals getting started with experiments, plus deeper dives into advanced topics for practitioners who want to improve the way they make data-driven decisions. Learn how to • Use the scientific method to evaluate hypotheses using controlled experiments • Define key metrics and ideally an Overall Evaluation Criterion • Test for trustworthiness of the results and alert experimenters to violated assumptions • Build a scalable platform that lowers the marginal cost of experiments close to zero • Avoid pitfalls like carryover effects and Twyman's law • Understand how statistical issues play out in practice.
Author : Olaf Hübler
Publisher : Springer Science & Business Media
ISBN 13 : 3540326936
Total Pages : 236 pages
Book Rating : 4.5/5 (43 download)
Download or read book Modern Econometric Analysis written by Olaf Hübler and published by Springer Science & Business Media. This book was released on 2007-04-29 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book leading German econometricians in different fields present survey articles of the most important new methods in econometrics. The book gives an overview of the field and it shows progress made in recent years and remaining problems.
