Statistical Multiple Integration
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Author |
: Nancy Flournoy |
Publisher |
: American Mathematical Soc. |
Total Pages |
: 290 |
Release |
: 1991 |
ISBN-10 |
: 9780821851227 |
ISBN-13 |
: 0821851225 |
Rating |
: 4/5 (27 Downloads) |
Synopsis Statistical Multiple Integration by : Nancy Flournoy
High dimensional integration arises naturally in two major sub-fields of statistics: multivariate and Bayesian statistics. Indeed, the most common measures of central tendency, variation, and loss are defined by integrals over the sample space, the parameter space, or both. Recent advances in computational power have stimulated significant new advances in both Bayesian and classical multivariate statistics. In many statistical problems, however, multiple integration can be the major obstacle to solutions. This volume contains the proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Statistical Multiple Integration, held in June 1989 at Humboldt State University in Arcata, California. The conference represents an attempt to bring together mathematicians, statisticians, and computational scientists to focus on the many important problems in statistical multiple integration. The papers document the state of the art in this area with respect to problems in statistics, potential advances blocked by problems with multiple integration, and current work directed at expanding the capability to integrate over high dimensional surfaces.
Author |
: André I. Khuri |
Publisher |
: John Wiley & Sons |
Total Pages |
: 704 |
Release |
: 2003-04-14 |
ISBN-10 |
: 9780471461623 |
ISBN-13 |
: 0471461628 |
Rating |
: 4/5 (23 Downloads) |
Synopsis Advanced Calculus with Applications in Statistics by : André I. Khuri
Designed to help motivate the learning of advanced calculus by demonstrating its relevance in the field of statistics, this successful text features detailed coverage of optimization techniques and their applications in statistics while introducing the reader to approximation theory. The Second Edition provides substantial new coverage of the material, including three new chapters and a large appendix that contains solutions to almost all of the exercises in the book. Applications of some of these methods in statistics are discusses.
Author |
: National Academies of Sciences, Engineering, and Medicine |
Publisher |
: National Academies Press |
Total Pages |
: 195 |
Release |
: 2017-12-27 |
ISBN-10 |
: 9780309465403 |
ISBN-13 |
: 0309465400 |
Rating |
: 4/5 (03 Downloads) |
Synopsis Federal Statistics, Multiple Data Sources, and Privacy Protection by : National Academies of Sciences, Engineering, and Medicine
The environment for obtaining information and providing statistical data for policy makers and the public has changed significantly in the past decade, raising questions about the fundamental survey paradigm that underlies federal statistics. New data sources provide opportunities to develop a new paradigm that can improve timeliness, geographic or subpopulation detail, and statistical efficiency. It also has the potential to reduce the costs of producing federal statistics. The panel's first report described federal statistical agencies' current paradigm, which relies heavily on sample surveys for producing national statistics, and challenges agencies are facing; the legal frameworks and mechanisms for protecting the privacy and confidentiality of statistical data and for providing researchers access to data, and challenges to those frameworks and mechanisms; and statistical agencies access to alternative sources of data. The panel recommended a new approach for federal statistical programs that would combine diverse data sources from government and private sector sources and the creation of a new entity that would provide the foundational elements needed for this new approach, including legal authority to access data and protect privacy. This second of the panel's two reports builds on the analysis, conclusions, and recommendations in the first one. This report assesses alternative methods for implementing a new approach that would combine diverse data sources from government and private sector sources, including describing statistical models for combining data from multiple sources; examining statistical and computer science approaches that foster privacy protections; evaluating frameworks for assessing the quality and utility of alternative data sources; and various models for implementing the recommended new entity. Together, the two reports offer ideas and recommendations to help federal statistical agencies examine and evaluate data from alternative sources and then combine them as appropriate to provide the country with more timely, actionable, and useful information for policy makers, businesses, and individuals.
Author |
: John F. Monahan |
Publisher |
: Cambridge University Press |
Total Pages |
: 465 |
Release |
: 2011-04-18 |
ISBN-10 |
: 9781139498005 |
ISBN-13 |
: 1139498002 |
Rating |
: 4/5 (05 Downloads) |
Synopsis Numerical Methods of Statistics by : John F. Monahan
This book explains how computer software is designed to perform the tasks required for sophisticated statistical analysis. For statisticians, it examines the nitty-gritty computational problems behind statistical methods. For mathematicians and computer scientists, it looks at the application of mathematical tools to statistical problems. The first half of the book offers a basic background in numerical analysis that emphasizes issues important to statisticians. The next several chapters cover a broad array of statistical tools, such as maximum likelihood and nonlinear regression. The author also treats the application of numerical tools; numerical integration and random number generation are explained in a unified manner reflecting complementary views of Monte Carlo methods. Each chapter contains exercises that range from simple questions to research problems. Most of the examples are accompanied by demonstration and source code available from the author's website. New in this second edition are demonstrations coded in R, as well as new sections on linear programming and the Nelder–Mead search algorithm.
Author |
: Michael Evans |
Publisher |
: OUP Oxford |
Total Pages |
: 302 |
Release |
: 2000-03-23 |
ISBN-10 |
: 9780191589874 |
ISBN-13 |
: 019158987X |
Rating |
: 4/5 (74 Downloads) |
Synopsis Approximating Integrals via Monte Carlo and Deterministic Methods by : Michael Evans
This book is designed to introduce graduate students and researchers to the primary methods useful for approximating integrals. The emphasis is on those methods that have been found to be of practical use, and although the focus is on approximating higher- dimensional integrals the lower-dimensional case is also covered. Included in the book are asymptotic techniques, multiple quadrature and quasi-random techniques as well as a complete development of Monte Carlo algorithms. For the Monte Carlo section importance sampling methods, variance reduction techniques and the primary Markov Chain Monte Carlo algorithms are covered. This book brings these various techniques together for the first time, and hence provides an accessible textbook and reference for researchers in a wide variety of disciplines.
Author |
: Rudolf Dutter |
Publisher |
: Physica |
Total Pages |
: 539 |
Release |
: 2013-12-20 |
ISBN-10 |
: 9783642524639 |
ISBN-13 |
: 364252463X |
Rating |
: 4/5 (39 Downloads) |
Synopsis Compstat by : Rudolf Dutter
This book assembles papers which were presented at the biennial sympo sium in Computational Statistics held und er the a!uspices of the International Association for Statistical Computing (IASC), a section of ISI, the Interna tional Statistical Institute. This symposium named COMPSTAT '94 was organized by the Statistical Institutes of the University of Vienna and the University of Technology of Vienna, Austria. The series of COMPSTAT Symposia started 1974 in Vienna. Mean while they took place every other year in Berlin (Germany, 1976), Leiden (The Netherlands, 1978), Edinburgh (Great Britain, 1980), Toulouse (France, 1982), Prague (Czechoslovakia, 1984), Rom (Italy, 1986), Copenhagen (Den mark, 1988), Dubrovnik (Yugoslavia, 1990) and Neuchätel (Switzerland, 1992). This year we are celebrating the 20th anniversary in Vienna, Austria. It has obviously been observed a movement from "traditional" computa tional statistics with emphasis on methods which produce results quickly and reliably, to computationally intensive methods like resampling procedures, Bayesian methods, dynamic graphics, to very recent areas like neural net works, accentuation on spatial statistics, huge data sets, analysis strategies, etc. For the organization of the symposium, new guidelines worked out by the IASC in written form were in effect this time. The goal was to refresh somehow the spirit of the start of COMPSTAT '74, keep the tradition of the series and ensure a certain continuity in the sequence of biannual meetings.
Author |
: Michael C. Gemignani |
Publisher |
: Courier Corporation |
Total Pages |
: 388 |
Release |
: 2014-06-10 |
ISBN-10 |
: 9780486151748 |
ISBN-13 |
: 0486151743 |
Rating |
: 4/5 (48 Downloads) |
Synopsis Calculus and Statistics by : Michael C. Gemignani
Self-contained and suitable for undergraduate students, this text offers a working knowledge of calculus and statistics. It assumes only a familiarity with basic analytic geometry, presenting a coordinated study that develops the interrelationships between calculus, probability, and statistics. Starting with the basic concepts of function and probability, the text addresses some specific probabilities and proceeds to surveys of random variables and graphs, the derivative, applications of the derivative, sequences and series, and integration. Additional topics include the integral and continuous variates, some basic discrete distributions, as well as other important distributions, hypothesis testing, functions of several variables, and regression and correlation. The text concludes with an appendix, answers to selected exercises, a general index, and an index of symbols.
Author |
: Ying Lu |
Publisher |
: World Scientific |
Total Pages |
: 1471 |
Release |
: 2015-06-29 |
ISBN-10 |
: 9789814583329 |
ISBN-13 |
: 9814583324 |
Rating |
: 4/5 (29 Downloads) |
Synopsis Advanced Medical Statistics (2nd Edition) by : Ying Lu
The book aims to provide both comprehensive reviews of the classical methods and an introduction to new developments in medical statistics. The topics range from meta analysis, clinical trial design, causal inference, personalized medicine to machine learning and next generation sequence analysis. Since the publication of the first edition, there have been tremendous advances in biostatistics and bioinformatics. The new edition tries to cover as many important emerging areas and reflect as much progress as possible. Many distinguished scholars, who greatly advanced their research areas in statistical methodology as well as practical applications, also have revised several chapters with relevant updates and written new ones from scratch.The new edition has been divided into four sections, including, Statistical Methods in Medicine and Epidemiology, Statistical Methods in Clinical Trials, Statistical Genetics, and General Methods. To reflect the rise of modern statistical genetics as one of the most fertile research areas since the publication of the first edition, the brand new section on Statistical Genetics includes entirely new chapters reflecting the state of the art in the field.Although tightly related, all the book chapters are self-contained and can be read independently. The book chapters intend to provide a convenient launch pad for readers interested in learning a specific topic, applying the related statistical methods in their scientific research and seeking the newest references for in-depth research.
Author |
: Kenneth D. Lawrence |
Publisher |
: Emerald Group Publishing |
Total Pages |
: 307 |
Release |
: 2008-01-25 |
ISBN-10 |
: 9780857247872 |
ISBN-13 |
: 0857247875 |
Rating |
: 4/5 (72 Downloads) |
Synopsis Advances in Business and Management Forecasting by : Kenneth D. Lawrence
Includes sections devoted to financial applications of forecasting, as well as demand forecasting. This publication also includes a section on general business applications of forecasting, as well as one on forecasting methodologies.
Author |
: Geof H. Givens |
Publisher |
: John Wiley & Sons |
Total Pages |
: 496 |
Release |
: 2012-10-09 |
ISBN-10 |
: 9781118555484 |
ISBN-13 |
: 1118555481 |
Rating |
: 4/5 (84 Downloads) |
Synopsis Computational Statistics by : Geof H. Givens
This new edition continues to serve as a comprehensive guide to modern and classical methods of statistical computing. The book is comprised of four main parts spanning the field: Optimization Integration and Simulation Bootstrapping Density Estimation and Smoothing Within these sections,each chapter includes a comprehensive introduction and step-by-step implementation summaries to accompany the explanations of key methods. The new edition includes updated coverage and existing topics as well as new topics such as adaptive MCMC and bootstrapping for correlated data. The book website now includes comprehensive R code for the entire book. There are extensive exercises, real examples, and helpful insights about how to use the methods in practice.