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Robust Response Surfaces, Regression, and Positive Data Analyses
by Rabindra Nath DasShowing how robust response surface methodology (RRSM) can overcome the limitations of RSM, this book presents RRS designs, along with the relevant regression and positive data analysis techniques. It explains how to use RRSM in experimental designs and regression analysis and addresses problems of RRS designs, such as rotatability, slope-rotatability, weak rotatability, and optimality. The author illustrates the concepts and methods with real examples of lifetime responses, resistivity, replicated measures, and more.
Robust Statistical Methods with R, Second Edition
by Jana Jurečková Jan Picek Martin SchindlerThe second edition of Robust Statistical Methods with R provides a systematic treatment of robust procedures with an emphasis on new developments and on the computational aspects. There are many numerical examples and notes on the R environment, and the updated chapter on the multivariate model contains additional material on visualization of multivariate data in R. A new chapter on robust procedures in measurement error models concentrates mainly on the rank procedures, less sensitive to errors than other procedures. This book will be an invaluable resource for researchers and postgraduate students in statistics and mathematics. Features • Provides a systematic, practical treatment of robust statistical methods • Offers a rigorous treatment of the whole range of robust methods, including the sequential versions of estimators, their moment convergence, and compares their asymptotic and finite-sample behavior • The extended account of multivariate models includes the admissibility, shrinkage effects and unbiasedness of two-sample tests • Illustrates the small sensitivity of the rank procedures in the measurement error model • Emphasizes the computational aspects, supplies many examples and illustrations, and provides the own procedures of the authors in the R software on the book’s website
Robust Statistics: The Approach Based On Influence Functions (Wiley Series in Probability and Statistics #693)
by Peter J. Huber Elvezio M. RonchettiA new edition of the classic, groundbreaking book on robust statistics Over twenty-five years after the publication of its predecessor, Robust Statistics, Second Edition continues to provide an authoritative and systematic treatment of the topic. This new edition has been thoroughly updated and expanded to reflect the latest advances in the field while also outlining the established theory and applications for building a solid foundation in robust statistics for both the theoretical and the applied statistician. A comprehensive introduction and discussion on the formal mathematical background behind qualitative and quantitative robustness is provided, and subsequent chapters delve into basic types of scale estimates, asymptotic minimax theory, regression, robust covariance, and robust design. In addition to an extended treatment of robust regression, the Second Edition features four new chapters covering: Robust Tests Small Sample Asymptotics Breakdown Point Bayesian Robustness An expanded treatment of robust regression and pseudo-values is also featured, and concepts, rather than mathematical completeness, are stressed in every discussion. Selected numerical algorithms for computing robust estimates and convergence proofs are provided throughout the book, along with quantitative robustness information for a variety of estimates. A General Remarks section appears at the beginning of each chapter and provides readers with ample motivation for working with the presented methods and techniques. Robust Statistics, Second Edition is an ideal book for graduate-level courses on the topic. It also serves as a valuable reference for researchers and practitioners who wish to study the statistical research associated with robust statistics.
Robust Statistics: Theory and Methods (with R) (Wiley Series in Probability and Statistics)
by Ricardo A. Maronna R. Douglas Martin Victor J. Yohai Matías Salibián-BarreraA new edition of this popular text on robust statistics, thoroughly updated to include new and improved methods and focus on implementation of methodology using the increasingly popular open-source software R. Classical statistics fail to cope well with outliers associated with deviations from standard distributions. Robust statistical methods take into account these deviations when estimating the parameters of parametric models, thus increasing the reliability of fitted models and associated inference. This new, second edition of Robust Statistics: Theory and Methods (with R) presents a broad coverage of the theory of robust statistics that is integrated with computing methods and applications. Updated to include important new research results of the last decade and focus on the use of the popular software package R, it features in-depth coverage of the key methodology, including regression, multivariate analysis, and time series modeling. The book is illustrated throughout by a range of examples and applications that are supported by a companion website featuring data sets and R code that allow the reader to reproduce the examples given in the book. Unlike other books on the market, Robust Statistics: Theory and Methods (with R) offers the most comprehensive, definitive, and up-to-date treatment of the subject. It features chapters on estimating location and scale; measuring robustness; linear regression with fixed and with random predictors; multivariate analysis; generalized linear models; time series; numerical algorithms; and asymptotic theory of M-estimates. Explains both the use and theoretical justification of robust methods Guides readers in selecting and using the most appropriate robust methods for their problems Features computational algorithms for the core methods Robust statistics research results of the last decade included in this 2nd edition include: fast deterministic robust regression, finite-sample robustness, robust regularized regression, robust location and scatter estimation with missing data, robust estimation with independent outliers in variables, and robust mixed linear models. Robust Statistics aims to stimulate the use of robust methods as a powerful tool to increase the reliability and accuracy of statistical modelling and data analysis. It is an ideal resource for researchers, practitioners, and graduate students in statistics, engineering, computer science, and physical and social sciences.
Robust Subspace Estimation Using Low-Rank Optimization
by Omar Oreifej Mubarak ShahVarious fundamental applications in computer vision and machine learning require finding the basis of a certain subspace. Examples of such applications include face detection, motion estimation, and activity recognition. An increasing interest has been recently placed on this area as a result of significant advances in the mathematics of matrix rank optimization. Interestingly, robust subspace estimation can be posed as a low-rank optimization problem, which can be solved efficiently using techniques such as the method of Augmented Lagrange Multiplier. In this book, the authors discuss fundamental formulations and extensions for low-rank optimization-based subspace estimation and representation. By minimizing the rank of the matrix containing observations drawn from images, the authors demonstrate how to solve four fundamental computer vision problems, including video denosing, background subtraction, motion estimation, and activity recognition.
Robustness and Complex Data Structures
by Roland Fried Claudia Becker Sonja KuhntThis Festschrift in honour of Ursula Gather's 60th birthday deals with modern topics in the field of robust statistical methods, especially for time series and regression analysis, and with statistical methods for complex data structures. The individual contributions of leading experts provide a textbook-style overview of the topic, supplemented by current research results and questions. The statistical theory and methods in this volume aim at the analysis of data which deviate from classical stringent model assumptions, which contain outlying values and/or have a complex structure. Written for researchers as well as master and PhD students with a good knowledge of statistics.
Robustness in Econometrics
by Vladik Kreinovich Songsak Sriboonchitta Van-Nam HuynhThis book presents recent research on robustness in econometrics. Robust data processing techniques - i. e. , techniques that yield results minimally affected by outliers - and their applications to real-life economic and financial situations are the main focus of this book. The book also discusses applications of more traditional statistical techniques to econometric problems. Econometrics is a branch of economics that uses mathematical (especially statistical) methods to analyze economic systems, to forecast economic and financial dynamics, and to develop strategies for achieving desirable economic performance. In day-by-day data, we often encounter outliers that do not reflect the long-term economic trends, e. g. , unexpected and abrupt fluctuations. As such, it is important to develop robust data processing techniques that can accommodate these fluctuations.
Robustness in Statistical Forecasting
by Yuriy KharinThis book offers solutions to such topical problems as developing mathematical models and descriptions of typical distortions in applied forecasting problems; evaluating robustness for traditional forecasting procedures under distortionism and more.
Robustness Theory and Application (Wiley Series in Probability and Statistics)
by Brenton R. ClarkeA preeminent expert in the field explores new and exciting methodologies in the ever-growing field of robust statistics Used to develop data analytical methods, which are resistant to outlying observations in the data, while capable of detecting outliers, robust statistics is extremely useful for solving an array of common problems, such as estimating location, scale, and regression parameters. Written by an internationally recognized expert in the field of robust statistics, this book addresses a range of well-established techniques while exploring, in depth, new and exciting methodologies. Local robustness and global robustness are discussed, and problems of non-identifiability and adaptive estimation are considered. Rather than attempt an exhaustive investigation of robustness, the author provides readers with a timely review of many of the most important problems in statistical inference involving robust estimation, along with a brief look at confidence intervals for location. Throughout, the author meticulously links research in maximum likelihood estimation with the more general M-estimation methodology. Specific applications and R and some MATLAB subroutines with accompanying data sets—available both in the text and online—are employed wherever appropriate. Providing invaluable insights and guidance, Robustness Theory and Application: Offers a balanced presentation of theory and applications within each topic-specific discussion Features solved examples throughout which help clarify complex and/or difficult concepts Meticulously links research in maximum likelihood type estimation with the more general M-estimation methodology Delves into new methodologies which have been developed over the past decade without stinting on coverage of “tried-and-true” methodologies Includes R and some MATLAB subroutines with accompanying data sets, which help illustrate the power of the methods described Robustness Theory and Application is an important resource for all statisticians interested in the topic of robust statistics. This book encompasses both past and present research, making it a valuable supplemental text for graduate-level courses in robustness.
ROC Analysis for Classification and Prediction in Practice
by Christos NakasThis book presents a unified and up-to-date introduction to ROC methodologies, covering both diagnosis (classification) and prediction. The emphasis is on the conceptual underpinning of ROC analysis and the practical implementation in diverse scientific fields. A plethora of examples accompany the methodologic discussion using standard statistical software such as R and STATA. The book arrives after two decades of intensive growth in both the methods and the applications of ROC analysis and presents a new synthesis. The authors provide a contemporary, integrated exposition of ROC methodology for both classification and prediction and include material on multiple-class ROC. This book avoids lengthy technical exposition and provides code and datasets in each chapter. ROC Analysis for Classification and Prediction in Practice is intended for researchers and graduate students, but will also be useful for those that use ROC analysis in diverse disciplines such as diagnostic medicine, bioinformatics, medical physics, and perception psychology.
ROC Curves for Continuous Data (ISSN #111)
by David J. Hand Wojtek J. KrzanowskiSince ROC curves have become ubiquitous in many application areas, the various advances have been scattered across disparate articles and texts. ROC Curves for Continuous Data is the first book solely devoted to the subject, bringing together all the relevant material to provide a clear understanding of how to analyze ROC curves.The fundamenta
Rod & Staff Grade 1 Math
by Rod StaffThe Rod & Staff Grade 1 Math Student Book (Part 2) continues with Lessons 86-170. Like the Rod & Staff Grade 1 Math Student Book (Part 1), this book continues the mastery approach method when teaching mathematics.
Rods, Sets and Arrows: The Rise and Fall of Modern Mathematics in Belgium (History of Mathematics Education)
by Dirk De Bock Geert VanpaemelFor anyone interested in the history and effects of the introduction of so-called “Modern Mathematics” (or “Mathématique Moderne,” or “New Mathematics,” etc.) this book, by Dirk De Bock and Geert Vanpaemel, is essential reading. The two authors are experienced and highly qualified Belgian scholars and the book looks carefully at events relating to school mathematics for the period from the end of World War II to 2010. Initially the book focuses on events which helped to define the modern mathematics revolution in Belgium before and during the 1960s. The book does much more than that, however, for it traces the influence of these events on national and international debates during the early phases of the reform. By providing readers with translations into English of relevant sections of key Continental documents outlining the major ideas of leading Continental scholars who contributed to the “Mathématique Moderne” movement, this book makes available to a wide readership, the theoretical, social, and political backdrops of Continental new mathematics reforms. In particular, the book focuses on the contributions made by Belgians such as Paul Libois, Willy Servais, Frédérique Lenger, and Georges Papy. The influence of modern mathematics fell away rapidly in the 1970s, however, and the authors trace the rise and fall, from that time into the 21st century, of a number of other approaches to school mathematics—in Belgium, in other Western European nations, and in North America. In summary, this is an outstanding, landmark publication displaying the fruits of deep scholarship and careful research based on extensive analyses of primary sources.
Rogue Waves in Integrable Systems
by Bo Yang Jianke YangThis book offers a holistic picture of rogue waves in integrable systems. Rogue waves are a rare but extreme phenomenon that occur most famously in water, but also in other diverse contexts such as plasmas, optical fibers and Bose-Einstein condensates where, despite the seemingly disparate settings, a common theoretical basis exists. This book presents the physical derivations of the underlying integrable nonlinear partial differential equations, derives the explicit and compact rogue wave solutions in these integrable systems, and analyzes rogue wave patterns that arise in these solutions, for many integrable systems and in multiple physical contexts. Striking a balance between theory and experiment, the book also surveys recent experimental insights into rogue waves in water, optical fibers, plasma, and Bose-Einstein condensates. In taking integrable nonlinear wave systems as a starting point, this book will be of interest to a broad cross section of researchers and graduate students in physics and applied mathematics who encounter nonlinear waves.
The Rohingya in South Asia: People Without a State
by Sabyasachi Basu Ray Chaudhury Ranabir SamaddarThe Rohingya of Myanmar are one of the world’s most persecuted minority populations without citizenship. After the latest exodus from Myanmar in 2017, there are now more than half a million Rohingya in Bangladesh living in camps, often in conditions of abject poverty, malnutrition and without proper access to shelter or work permits. Some of them are now compelled to take to the seas in perilous journeys to the Southeast Asian countries in search of a better life. They are now asked to go back to Myanmar, but without any promise of citizenship or an end to discrimination. This book looks at the Rohingya in the South Asian region, primarily India and Bangladesh. It explores the broader picture of the historical and political dimensions of the Rohingya crisis, and examines subjects of statelessness, human rights and humanitarian protection of these victims of forced migration. Further, it chronicles the actual process of emergence of a stateless community – the transformation of a national group into a stateless existence without basic rights.
The Rohonc Code: Tracing a Historical Riddle
by Benedek LángFirst discovered in a Hungarian library in 1838, the Rohonc Codex keeps privileged company with some of the most famous unsolved writing systems in the world, notably the Voynich manuscript, the Phaistos Disk, and Linear A. Written entirely in cipher, this 400-year-old, 450-page-long, richly illustrated manuscript initially gained considerable attention but was later dismissed as an apparent forgery. No serious scholar would study it again until the turn of the twenty-first century. This engaging narrative follows historian Benedek Láng’s search to uncover the truth about this thoroughly mysterious book that has puzzled dozens of codebreakers. Láng surveys the fascinating theories associated with the Codex and discusses possible interpretations of the manuscript as a biblical commentary, an apocryphal gospel, or a secret book written for and by a sect. He provides an overview of the secret writing systems known in early modern times and an account of the numerous efforts to create an artificial language or to find a long-lost perfect tongue—endeavors that were especially popular at the time the Codex was made. Lastly, he tests several codebreaking methods in order to decipher the Codex, finally pointing to a possible solution to the enigma of its content and language system.Engagingly written, academically grounded, and thoroughly compelling, The Rohonc Code will appeal to historians, scholars, and lay readers interested in mysteries, codes, and ciphers.
The Rohonc Code: Tracing a Historical Riddle
by Benedek LángFirst discovered in a Hungarian library in 1838, the Rohonc Codex keeps privileged company with some of the most famous unsolved writing systems in the world, notably the Voynich manuscript, the Phaistos Disk, and Linear A. Written entirely in cipher, this 400-year-old, 450-page-long, richly illustrated manuscript initially gained considerable attention but was later dismissed as an apparent forgery. No serious scholar would study it again until the turn of the twenty-first century. This engaging narrative follows historian Benedek Láng’s search to uncover the truth about this thoroughly mysterious book that has puzzled dozens of codebreakers. Láng surveys the fascinating theories associated with the Codex and discusses possible interpretations of the manuscript as a biblical commentary, an apocryphal gospel, or a secret book written for and by a sect. He provides an overview of the secret writing systems known in early modern times and an account of the numerous efforts to create an artificial language or to find a long-lost perfect tongue—endeavors that were especially popular at the time the Codex was made. Lastly, he tests several codebreaking methods in order to decipher the Codex, finally pointing to a possible solution to the enigma of its content and language system.Engagingly written, academically grounded, and thoroughly compelling, The Rohonc Code will appeal to historians, scholars, and lay readers interested in mysteries, codes, and ciphers.
The Role and Importance of Mathematics in Innovation
by Bob Anderssen Philip Broadbridge Yasuhide Fukumoto Naoyuki Kamiyama Yoshihiro Mizoguchi Konrad Polthier Osamu SaekiThis book is a collection of papers presented at the "Forum Math-for-Industry 2015" for which the unifying theme was "The Role and Importance of Mathematics in Innovation", held at the Institute of Mathematics for Industry, Kyushu University, October 26-30, 2015. The theme highlights two key roles that mathematics plays in supporting innovation in science, technology, and daily life, namely, needs-based and idea-based. For the former, mathematics assists with sorting through the possibilities and putting matters on a more rigorous foundation, and for the latter, mathematical models of the possible implementations play a key role. The book gives excellent examples of how mathematics assists with stimulating innovation and, thereby, highlights the importance and relevance of the concept Mathematics_FOR_Industry. The contents of this volume address productive and successful interaction between industry and mathematicians, as well as the cross-fertilization and collaboration that result when mathematics is involved with the advancement of science and technology.
The Role of Clean Coal Technologies in Energy Transformation and Energy Security: Ensuring Energy Security: The Key Role of Clean Coal Technologies in the Energy Transition (SpringerBriefs in Energy)
by Aurelia Rybak Aleksandra RybakThis book presents the latest achievements in the field of clean coal technologies and shows how these innovations contribute to environmental protection and ensure stability of energy supplies. The book describes how clean coal technologies can revolutionize our energy future. From advanced mining methods to modern energy storage solutions, this book is a source of knowledge about sustainable development and technological innovation.
The Role of Diffusion Processes in Fertility Change in Developing Countries: Report Of A Workshop
by Committee on PopulationThe National Academies Press (NAP)--publisher for the National Academies--publishes more than 200 books a year offering the most authoritative views, definitive information, and groundbreaking recommendations on a wide range of topics in science, engineering, and health. Our books are unique in that they are authored by the nation's leading experts in every scientific field.
The Role of Mechanics in the Study of Lipid Bilayers (CISM International Centre for Mechanical Sciences #577)
by David J. SteigmannThis book is the first collection of lipid-membrane research conducted by leading mechanicians and experts in continuum mechanics. It brings the overall intellectual framework afforded by modern continuum mechanics to bear on a host of challenging problems in lipid membrane physics. These include unique and authoritative treatments of differential geometry, shape elasticity, surface flow and diffusion, interleaf membrane friction, phase transitions, electroelasticity and flexoelectricity, and computational modelling.
The Role of Population Games in the Design of Optimization-Based Controllers: A Large-scale Insight (Springer Theses)
by Julian Barreiro-GomezThis book reports on the implementation of evolutionary-game theory in the design of distributed optimization-based controllers. First, it discusses how the classical population-game approach can contribute to and complement the design of optimization-based controllers. It shows how the features of this approach can be exploited to extend their capabilities in the solution of distributed optimization problems, and examines density games in order to consider multiple coupled constraints and preserve the non-centralized information requirements. Furthermore, it establishes a close relationship between the possible interactions among agents in a population with constrained information sharing among different local controllers. It also discusses coalitional games, focusing on the Shapley power index and proposes an alternative method of computing the latter, which reduces computational time, as well as a different way of finding it using distributed communication structures. All the proposed strategies are then tested on various control problems, such as those related to the Barcelona water supply network, multiple continuous stirred tank reactors, various unmanned aerial vehicle systems, and a water distribution system. This thesis, examined at the Universitat Politècnica de Catalunya and Universidad de los Andes in 2017, received the award for best thesis in control from the control group of the Spanish Committee of Automatic Control (CEA) in the same year.
The Role of Statistics in Business and Industry
by Gerald J. Hahn Necip DoganaksoyAn insightful guide to the use of statistics for solving key problems in modern-day business and industry This book has been awarded the Technometrics Ziegel Prize for the best book reviewed by the journal in 2010. Technometrics is a journal of statistics for the physical, chemical and engineering sciences, published jointly by the American Society for Quality and the American Statistical Association. Criteria for the award include that the book brings together in one volume a body of material previously only available in scattered research articles and having the potential to significantly improve practice in engineering and science. Highlighting the relevance of statistical methods in everyday applications, The Role of Statistics in Business and Industry bridges the gap between the tools of statistics and their use in today's business world. This one-of-a-kind resource encourages the proactive use of statistics in three well-organized and succinct parts: Setting the Stage provides an introduction to statistics, with a general overview of its uses in business and industry Manufactured Product Applications explains how statistical techniques assist in designing, building, improving, and ensuring the reliability of a wide variety of manufactured products such as appliances, plastic materials, aircraft engines, and locomotives Other Applications describe the role of statistics in pharmaceuticals, finance, and business services, as well as more specialized areas including the food, semiconductor, and communications industries This book is truly unique in that it first describes case studies and key business problems, and then shows how statistics is used to address them, while most literature on the topic does the reverse. This approach provides a comprehensive understanding of common issues and the most effective methods for their treatment. Each chapter concludes with general questions that allow the reader to test their understanding of the presented statistical concepts as well as technical questions that raise more complex issues. An extensive FTP site provides additional material, including solutions to some of the applications. With its accessible style and real-world examples, The Role of Statistics in Business and Industry is a valuable supplement for courses on applied statistics and statistical consulting at the upper-undergraduate and graduate levels. It is also an ideal resource for early-career statisticians and practitioners who would like to learn the value of applying statistics to their everyday work.
The Role of the History of Mathematics in the Teaching/Learning Process: A CIEAEM Sourcebook (Advances in Mathematics Education)
by Sixto Romero Sanchez Ana Serradó Bayés Peter Appelbaum Gilles AldonThis volume presents multiple perspectives on the uses of the history of mathematics for teaching and learning, including the value of historical topics in challenging mathematics tasks, for provoking teachers’ reflection on the nature of mathematics, curriculum development questions that mirror earlier pedagogical choices in the history of mathematics education, and the history of technological innovations in the teaching and learning of mathematics. An ethnomathematical perspective on the history of mathematics challenges readers to appreciate the role of mathematics in perpetuating consequences of colonialism. Histories of the textbook and its uses offer interesting insights into how technology has changed the fundamental role of curriculum materials and classroom pedagogies. History is explored as a source for the training of teachers, for good puzzles and problems, and for a broad understanding of mathematics education policy. Third in a series of sourcebooks from the International Commission for the Study and Improvement of Mathematics Teaching, this collection of cutting-edge research, stories from the field, and policy implications is a contemporary and global perspective on current possibilities for the history of mathematics for mathematics education. This latest volume integrates discussions regarding history of mathematics, history of mathematics education and history of technology for education that have taken place at the Commission's recent annual conferences.
Rosenbrock—Wanner–Type Methods: Theory and Applications (Mathematics Online First Collections)
by Tim Jax Andreas Bartel Matthias Ehrhardt Michael Günther Gerd SteinebachThis book discusses the development of the Rosenbrock—Wanner methods from the origins of the idea to current research with the stable and efficient numerical solution and differential-algebraic systems of equations, still in focus. The reader gets a comprehensive insight into the classical methods as well as into the development and properties of novel W-methods, two-step and exponential Rosenbrock methods. In addition, descriptive applications from the fields of water and hydrogen network simulation and visual computing are presented.