Bayesian Statistics 9

Author: José M. Bernardo,M. J. Bayarri,James O. Berger,A. P. Dawid,David Heckerman

Publisher: Oxford University Press

ISBN: 0199694583

Category: Mathematics

Page: 706

View: 2823

Bayesian statistics is a dynamic and fast-growing area of statistical research and the Valencia International Meetings provide the main forum for discussion. These resulting proceedings form an up-to-date collection of research.
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Bayesian statistics

principles, models, and applications

Author: S. James Press

Publisher: John Wiley & Sons Inc

ISBN: N.A

Category: Mathematics

Page: 237

View: 6100

An introduction to Bayesian statistics, with emphasis on interpretation of theory, and application of Bayesian ideas to practical problems. First part covers basic issues and principles, such as subjective probability, Bayesian inference and decision making, the likelihood principle, predictivism, and numerical methods of approximating posterior distributions, and includes a listing of Bayesian computer programs. Second part is devoted to models and applications, including univariate and multivariate regression models, the general linear model, Bayesian classification and discrimination, and a case study of how disputed authorship of some of the Federalist Papers was resolved via Bayesian analysis. Includes biographical material on Thomas Bayes, and a reproduction of Bayes's original essay. Contains exercises.
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Bayesian Statistics, A Review

Author: D. V. Lindley

Publisher: SIAM

ISBN: 9781611970654

Category: Mathematics

Page: 83

View: 8150

A study of those statistical ideas that use a probability distribution over parameter space. The first part describes the axiomatic basis in the concept of coherence and the implications of this for sampling theory statistics. The second part discusses the use of Bayesian ideas in many branches of statistics.
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Bayesian Statistics and Its Applications

Author: Satyanshu K. Upadhyay,Umesh Singh,Dipak Dey

Publisher: Anshan Pub

ISBN: 9781905740000

Category: Mathematics

Page: 507

View: 8344

In the last two decades, Bayesian Statistics has acquired immense importance and has penetrated almost every area including those where the application of statistics appeared to be a remote possibility. This volume provides both theoretical and practical insights into the subject with detailed up-to-date material on various aspects. It serves two important objectives - to offer a thorough background material for theoreticians and gives a variety of applications for applied statisticians and practitioners. Consisting of 33 chapters, it covers topics on biostatistics, econometrics, reliability, image analysis, Bayesian computation, neural networks, prior elicitation, objective Bayesian methodologies, role of randomisation in Bayesian analysis, spatial data analysis, nonparametrics and a lot more. The book will serve as an excellent reference work for updating knowledge and for developing new methodologies in a wide variety of areas. It will become an invaluable tool for statisticians and the practitioners of Bayesian paradigm.
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Bayesian Statistics 2

Proceedings of the Second Valencia International Meeting, September 6/10, 1983

Author: J. M. Bernardo

Publisher: North Holland

ISBN: N.A

Category: Mathematics

Page: 778

View: 8829

Providing a comprehensive overview of recent research in Bayesian Statistics, this book includes contributions from most of the leading experts in the field. It covers a broad range of topics, from foundational philosophy to practical case studies.
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Bayesian Statistics 6

Proceedings of the Sixth Valencia International Meeting

Author: J. M. Bernardo

Publisher: Oxford University Press

ISBN: 9780198504856

Category: Business & Economics

Page: 867

View: 9588

Bayesian statistics is a dynamic and fast-growing area of statistical research, and the Valencia International Meetings, held every four years, provide the main forum for discussion of developments in the field. The resulting Proceedings form a definitive and up-to-date collection of research. This sixth volume will be an indispensable reference for all researchers in statistics.
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Bayesian Statistics 3

Proceedings of the Third Valencia International Meeting, June 1-5, 1987

Author: J. M. Bernardo

Publisher: Oxford University Press, USA

ISBN: N.A

Category: Science

Page: 805

View: 7866

The field of statistics has undergone rapid and wide development during the past two decades, and the Bayesian approach to statistics has provided both a general framework and a creative stimulus for all aspects of this development. This volume describes the work presented at the Third Valencia International Meeting on Bayesian Statistics, the main source of information and communication about the current state of knowledge and research in Bayesian statistics throughout the world. The research presented--which encompasses both invited papers and selected contributed papers-- has had a profound effect on the foundations of statistical inference and probability, statistical theory and methodology, and the applications of statistics in science, technology, medicine, business, law, and public policy. The contributors to this volume form a virtual Who's Who in the area of Bayesian statistics.
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Introduction to Bayesian Statistics

Author: William M. Bolstad,James M. Curran

Publisher: John Wiley & Sons

ISBN: 1118593227

Category: Mathematics

Page: 624

View: 2334

"...this edition is useful and effective in teaching Bayesian inference at both elementary and intermediate levels. It is a well-written book on elementary Bayesian inference, and the material is easily accessible. It is both concise and timely, and provides a good collection of overviews and reviews of important tools used in Bayesian statistical methods." There is a strong upsurge in the use of Bayesian methods in applied statistical analysis, yet most introductory statistics texts only present frequentist methods. Bayesian statistics has many important advantages that students should learn about if they are going into fields where statistics will be used. In this third Edition, four newly-added chapters address topics that reflect the rapid advances in the field of Bayesian statistics. The authors continue to provide a Bayesian treatment of introductory statistical topics, such as scientific data gathering, discrete random variables, robust Bayesian methods, and Bayesian approaches to inference for discrete random variables, binomial proportions, Poisson, and normal means, and simple linear regression. In addition, more advanced topics in the field are presented in four new chapters: Bayesian inference for a normal with unknown mean and variance; Bayesian inference for a Multivariate Normal mean vector; Bayesian inference for the Multiple Linear Regression Model; and Computational Bayesian Statistics including Markov Chain Monte Carlo. The inclusion of these topics will facilitate readers' ability to advance from a minimal understanding of Statistics to the ability to tackle topics in more applied, advanced level books. Minitab macros and R functions are available on the book's related website to assist with chapter exercises. Introduction to Bayesian Statistics, Third Edition also features: Topics including the Joint Likelihood function and inference using independent Jeffreys priors and join conjugate prior The cutting-edge topic of computational Bayesian Statistics in a new chapter, with a unique focus on Markov Chain Monte Carlo methods Exercises throughout the book that have been updated to reflect new applications and the latest software applications Detailed appendices that guide readers through the use of R and Minitab software for Bayesian analysis and Monte Carlo simulations, with all related macros available on the book's website Introduction to Bayesian Statistics, Third Edition is a textbook for upper-undergraduate or first-year graduate level courses on introductory statistics course with a Bayesian emphasis. It can also be used as a reference work for statisticians who require a working knowledge of Bayesian statistics.
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Bayesian Statistics in Actuarial Science

with Emphasis on Credibility

Author: Stuart A. Klugman

Publisher: Springer Science & Business Media

ISBN: 9401708452

Category: Business & Economics

Page: 238

View: 9138

The debate between the proponents of "classical" and "Bayesian" statistica} methods continues unabated. It is not the purpose of the text to resolve those issues but rather to demonstrate that within the realm of actuarial science there are a number of problems that are particularly suited for Bayesian analysis. This has been apparent to actuaries for a long time, but the lack of adequate computing power and appropriate algorithms had led to the use of various approximations. The two greatest advantages to the actuary of the Bayesian approach are that the method is independent of the model and that interval estimates are as easy to obtain as point estimates. The former attribute means that once one learns how to analyze one problem, the solution to similar, but more complex, problems will be no more difficult. The second one takes on added significance as the actuary of today is expected to provide evidence concerning the quality of any estimates. While the examples are all actuarial in nature, the methods discussed are applicable to any structured estimation problem. In particular, statisticians will recognize that the basic credibility problem has the same setting as the random effects model from analysis of variance.
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Probability and Bayesian Statistics

Author: R. Viertl

Publisher: Springer Science & Business Media

ISBN: 1461318858

Category: Mathematics

Page: 510

View: 7192

This book contains selected and refereed contributions to the "Inter national Symposium on Probability and Bayesian Statistics" which was orga nized to celebrate the 80th birthday of Professor Bruno de Finetti at his birthplace Innsbruck in Austria. Since Professor de Finetti died in 1985 the symposium was dedicated to the memory of Bruno de Finetti and took place at Igls near Innsbruck from 23 to 26 September 1986. Some of the pa pers are published especially by the relationship to Bruno de Finetti's scientific work. The evolution of stochastics shows growing importance of probability as coherent assessment of numerical values as degrees of believe in certain events. This is the basis for Bayesian inference in the sense of modern statistics. The contributions in this volume cover a broad spectrum ranging from foundations of probability across psychological aspects of formulating sub jective probability statements, abstract measure theoretical considerations, contributions to theoretical statistics and stochastic processes, to real applications in economics, reliability and hydrology. Also the question is raised if it is necessary to develop new techniques to model and analyze fuzzy observations in samples. The articles are arranged in alphabetical order according to the family name of the first author of each paper to avoid a hierarchical ordering of importance of the different topics. Readers interested in special topics can use the index at the end of the book as guide.
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Bayesian Statistics and Marketing

Author: Peter E. Rossi,Greg M. Allenby,Rob McCulloch

Publisher: John Wiley & Sons

ISBN: 0470863684

Category: Mathematics

Page: 368

View: 5593

The past decade has seen a dramatic increase in the use of Bayesian methods in marketing due, in part, to computational and modelling breakthroughs, making its implementation ideal for many marketing problems. Bayesian analyses can now be conducted over a wide range of marketing problems, from new product introduction to pricing, and with a wide variety of different data sources. Bayesian Statistics and Marketing describes the basic advantages of the Bayesian approach, detailing the nature of the computational revolution. Examples contained include household and consumer panel data on product purchases and survey data, demand models based on micro-economic theory and random effect models used to pool data among respondents. The book also discusses the theory and practical use of MCMC methods. Written by the leading experts in the field, this unique book: Presents a unified treatment of Bayesian methods in marketing, with common notation and algorithms for estimating the models. Provides a self-contained introduction to Bayesian methods. Includes case studies drawn from the authors’ recent research to illustrate how Bayesian methods can be extended to apply to many important marketing problems. Is accompanied by an R package, bayesm, which implements all of the models and methods in the book and includes many datasets. In addition the book’s website hosts datasets and R code for the case studies. Bayesian Statistics and Marketing provides a platform for researchers in marketing to analyse their data with state-of-the-art methods and develop new models of consumer behaviour. It provides a unified reference for cutting-edge marketing researchers, as well as an invaluable guide to this growing area for both graduate students and professors, alike.
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Bayesian statistics 8

proceedings of the eighth Valencia International Meeting, June 2-6, 2006

Author: J. M. Bernardo

Publisher: Oxford University Press, USA

ISBN: 9780199214655

Category: Business & Economics

Page: 678

View: 8869

The Valencia International Meetings on Bayesian Statistics, held every four years, provide the main forum for researchers in the area of Bayesian Statistics to come together to present and discuss frontier developments in the field. Covering a broad range of applications and models, including genetics, computer vision and computation, the resulting proceedings provide a definitive, up-to-date overview encompassing a wide range of theoretical and applied research. This eighth proceedings includes edited and refereed versions of 20 invited papers plus extensive and in-depth discussion along with 19 extended four page abstracts of the best presentations offering a wide perspective of the developments in Bayesian statistics over the last four years.
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Bayesian statistics 4

proceedings of the Fourth Valencia International Meeting, April 15-20, 1991

Author: J. M. Bernardo,J. O. Berger

Publisher: Oxford University Press, USA

ISBN: N.A

Category: Mathematics

Page: 859

View: 1067

The Valencia International Meetings on Bayesian Statistics, held every four years, provide the forum for researchers to come together to present and discuss frontier developments in the field. The resulting proceedings provide a definitive, up-to-date overview encompassing a wide range of theoretical and applied research. This fourth volume of proceedings is no exception. In particular, it reflects a growing emphasis on computational issues, concerned with making Bayesian methods routinely available to applied practitioners, both statisticians and other specialists whose work depends on careful quantification of uncertainties. The growing interest in Bayesian methods is revealed by the ever-increasing participation in the Valencia meetings. This, in turn, is reflected in the high quality of this work, which contains 30 invited papers by leading authorities and 33 refereed contributed papers, selected from over 150 presented at the meeting.
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Bayesian statistics

an introduction

Author: Peter M. Lee

Publisher: John Wiley & Sons Inc

ISBN: 9780471194811

Category: Mathematics

Page: 344

View: 1242

This new edition of Lee's popular book introduces the Bayesian philosophy of statistics. It has been completely updated and features new chapters on Gibbs sampling and hierarchical methods and more exercises.
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Bayesian Statistics 7

Proceedings of the Seventh Valencia International Meeting

Author: J. M. Bernardo

Publisher: Oxford University Press

ISBN: 9780198526155

Category: Mathematics

Page: 750

View: 3239

This volume contains the proceedings of the 7th Valencia International Meeting on Bayesian Statistics. This conference is held every four years and provides the main forum for researchers in the area of Bayesian statistics to come together to present and discuss frontier developments in the field.
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Elements of Bayesian Statistics

Author: Florens

Publisher: CRC Press

ISBN: 9780824781231

Category: Mathematics

Page: 544

View: 3971

The ingratiating title notwithstanding, this is in no standard sense a text but a monograph, based largely upon the authors' research over a period of years, and intended to be read by sophisticated students of theoretical statistics. No exercises attach to the nine chapters, nor are they interrup
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A Student’s Guide to Bayesian Statistics

Author: Ben Lambert

Publisher: SAGE

ISBN: 1526418266

Category: Social Science

Page: 520

View: 3150

Supported by a wealth of learning features, exercises, and visual elements as well as online video tutorials and interactive simulations, this book is the first student-focused introduction to Bayesian statistics. Without sacrificing technical integrity for the sake of simplicity, the author draws upon accessible, student-friendly language to provide approachable instruction perfectly aimed at statistics and Bayesian newcomers. Through a logical structure that introduces and builds upon key concepts in a gradual way and slowly acclimatizes students to using R and Stan software, the book covers: An introduction to probability and Bayesian inference Understanding Bayes' rule Nuts and bolts of Bayesian analytic methods Computational Bayes and real-world Bayesian analysis Regression analysis and hierarchical methods This unique guide will help students develop the statistical confidence and skills to put the Bayesian formula into practice, from the basic concepts of statistical inference to complex applications of analyses.
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Think Bayes

Bayesian Statistics in Python

Author: Allen B. Downey

Publisher: "O'Reilly Media, Inc."

ISBN: 1491945435

Category: Mathematics

Page: 214

View: 7894

If you know how to program with Python and also know a little about probability, you’re ready to tackle Bayesian statistics. With this book, you'll learn how to solve statistical problems with Python code instead of mathematical notation, and use discrete probability distributions instead of continuous mathematics. Once you get the math out of the way, the Bayesian fundamentals will become clearer, and you’ll begin to apply these techniques to real-world problems. Bayesian statistical methods are becoming more common and more important, but not many resources are available to help beginners. Based on undergraduate classes taught by author Allen Downey, this book’s computational approach helps you get a solid start. Use your existing programming skills to learn and understand Bayesian statistics Work with problems involving estimation, prediction, decision analysis, evidence, and hypothesis testing Get started with simple examples, using coins, M&Ms, Dungeons & Dragons dice, paintball, and hockey Learn computational methods for solving real-world problems, such as interpreting SAT scores, simulating kidney tumors, and modeling the human microbiome.
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Introduction to Bayesian Statistics

Author: Karl-Rudolf Koch

Publisher: Springer Science & Business Media

ISBN: 3540727264

Category: Science

Page: 249

View: 8018

This book presents Bayes’ theorem, the estimation of unknown parameters, the determination of confidence regions and the derivation of tests of hypotheses for the unknown parameters. It does so in a simple manner that is easy to comprehend. The book compares traditional and Bayesian methods with the rules of probability presented in a logical way allowing an intuitive understanding of random variables and their probability distributions to be formed.
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Case Studies in Bayesian Statistics

Author: Constantine Gatsonis,Robert E. Kass,Bradley Carlin,Alicia Carriquiry,A. Gelman,Isabella Verdinelli,Mike West

Publisher: Springer Science & Business Media

ISBN: 1461215021

Category: Mathematics

Page: 430

View: 7550

The 4th Workshop on Case Studies in Bayesian Statistics was held at the Car negie Mellon University campus on September 27-28, 1997. As in the past, the workshop featured both invited and contributed case studies. The former were presented and discussed in detail while the latter were presented in poster format. This volume contains the four invited case studies with the accompanying discus sion as well as nine contributed papers selected by a refereeing process. While most of the case studies in the volume come from biomedical research the reader will also find studies in environmental science and marketing research. INVITED PAPERS In Modeling Customer Survey Data, Linda A. Clark, William S. Cleveland, Lorraine Denby, and Chuanhai LiD use hierarchical modeling with time series components in for customer value analysis (CVA) data from Lucent Technologies. The data were derived from surveys of customers of the company and its competi tors, designed to assess relative performance on a spectrum of issues including product and service quality and pricing. The model provides a full description of the CVA data, with random location and scale effects for survey respondents and longitudinal company effects for each attribute. In addition to assessing the performance of specific companies, the model allows the empirical exploration of the conceptual basis of consumer value analysis. The authors place special em phasis on graphical displays for this complex, multivariate set of data and include a wealth of such plots in the paper.
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