Empirical Bayes And Likelihood Inference PDF Download
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| Author | : S.E. Ahmed |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 242 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461301416 |
Download Empirical Bayes and Likelihood Inference Book in PDF, ePub and Kindle
Bayesian and such approaches to inference have a number of points of close contact, especially from an asymptotic point of view. Both emphasize the construction of interval estimates of unknown parameters. In this volume, researchers present recent work on several aspects of Bayesian, likelihood and empirical Bayes methods, presented at a workshop held in Montreal, Canada. The goal of the workshop was to explore the linkages among the methods, and to suggest new directions for research in the theory of inference.
| Author | : Syed Ejaz Ahmed |
| Publisher | : |
| Total Pages | : 235 |
| Release | : 2001 |
| Genre | : |
| ISBN | : 9783540950189 |
Download Empirical Bayes and likelihood inference Book in PDF, ePub and Kindle
| Author | : Leonhard Held |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 381 |
| Release | : 2013-11-12 |
| Genre | : Mathematics |
| ISBN | : 3642378870 |
Download Applied Statistical Inference Book in PDF, ePub and Kindle
This book covers modern statistical inference based on likelihood with applications in medicine, epidemiology and biology. Two introductory chapters discuss the importance of statistical models in applied quantitative research and the central role of the likelihood function. The rest of the book is divided into three parts. The first describes likelihood-based inference from a frequentist viewpoint. Properties of the maximum likelihood estimate, the score function, the likelihood ratio and the Wald statistic are discussed in detail. In the second part, likelihood is combined with prior information to perform Bayesian inference. Topics include Bayesian updating, conjugate and reference priors, Bayesian point and interval estimates, Bayesian asymptotics and empirical Bayes methods. Modern numerical techniques for Bayesian inference are described in a separate chapter. Finally two more advanced topics, model choice and prediction, are discussed both from a frequentist and a Bayesian perspective. A comprehensive appendix covers the necessary prerequisites in probability theory, matrix algebra, mathematical calculus, and numerical analysis.
| Author | : Leonhard Held |
| Publisher | : Springer Nature |
| Total Pages | : 409 |
| Release | : 2020-03-31 |
| Genre | : Medical |
| ISBN | : 3662607921 |
Download Likelihood and Bayesian Inference Book in PDF, ePub and Kindle
This richly illustrated textbook covers modern statistical methods with applications in medicine, epidemiology and biology. Firstly, it discusses the importance of statistical models in applied quantitative research and the central role of the likelihood function, describing likelihood-based inference from a frequentist viewpoint, and exploring the properties of the maximum likelihood estimate, the score function, the likelihood ratio and the Wald statistic. In the second part of the book, likelihood is combined with prior information to perform Bayesian inference. Topics include Bayesian updating, conjugate and reference priors, Bayesian point and interval estimates, Bayesian asymptotics and empirical Bayes methods. It includes a separate chapter on modern numerical techniques for Bayesian inference, and also addresses advanced topics, such as model choice and prediction from frequentist and Bayesian perspectives. This revised edition of the book “Applied Statistical Inference” has been expanded to include new material on Markov models for time series analysis. It also features a comprehensive appendix covering the prerequisites in probability theory, matrix algebra, mathematical calculus, and numerical analysis, and each chapter is complemented by exercises. The text is primarily intended for graduate statistics and biostatistics students with an interest in applications.
| Author | : R. Viertl |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 505 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461318858 |
Download Probability and Bayesian Statistics Book in PDF, ePub and Kindle
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.
| Author | : Bradley Efron |
| Publisher | : Cambridge University Press |
| Total Pages | : |
| Release | : 2012-11-29 |
| Genre | : Mathematics |
| ISBN | : 1139492136 |
Download Large-Scale Inference Book in PDF, ePub and Kindle
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 | : Donald A. Berry |
| Publisher | : John Wiley & Sons |
| Total Pages | : 610 |
| Release | : 1996 |
| Genre | : Business & Economics |
| ISBN | : 9780471118565 |
Download Bayesian Analysis in Statistics and Econometrics Book in PDF, ePub and Kindle
This book is a definitive work that captures the current state of knowledge of Bayesian Analysis in Statistics and Econometrics and attempts to move it forward. It covers such topics as foundations, forecasting inferential matters, regression, computation and applications.
| Author | : Mark L. Taper |
| Publisher | : University of Chicago Press |
| Total Pages | : 586 |
| Release | : 2010-12-15 |
| Genre | : Science |
| ISBN | : 0226789586 |
Download The Nature of Scientific Evidence Book in PDF, ePub and Kindle
An exploration of the statistical foundations of scientific inference, The Nature of Scientific Evidence asks what constitutes scientific evidence and whether scientific evidence can be quantified statistically. Mark Taper, Subhash Lele, and an esteemed group of contributors explore the relationships among hypotheses, models, data, and inference on which scientific progress rests in an attempt to develop a new quantitative framework for evidence. Informed by interdisciplinary discussions among scientists, philosophers, and statisticians, they propose a new "evidential" approach, which may be more in keeping with the scientific method. The Nature of Scientific Evidence persuasively argues that all scientists should care more about the fine points of statistical philosophy because therein lies the connection between theory and data. Though the book uses ecology as an exemplary science, the interdisciplinary evaluation of the use of statistics in empirical research will be of interest to any reader engaged in the quantification and evaluation of data.
| Author | : Helio S. Migon |
| Publisher | : CRC Press |
| Total Pages | : 388 |
| Release | : 2014-09-03 |
| Genre | : Mathematics |
| ISBN | : 1439878803 |
Download Statistical Inference Book in PDF, ePub and Kindle
A Balanced Treatment of Bayesian and Frequentist Inference Statistical Inference: An Integrated Approach, Second Edition presents an account of the Bayesian and frequentist approaches to statistical inference. Now with an additional author, this second edition places a more balanced emphasis on both perspectives than the first edition. New to the Second Edition New material on empirical Bayes and penalized likelihoods and their impact on regression models Expanded material on hypothesis testing, method of moments, bias correction, and hierarchical models More examples and exercises More comparison between the approaches, including their similarities and differences Designed for advanced undergraduate and graduate courses, the text thoroughly covers statistical inference without delving too deep into technical details. It compares the Bayesian and frequentist schools of thought and explores procedures that lie on the border between the two. Many examples illustrate the methods and models, and exercises are included at the end of each chapter.
| Author | : Murray Aitkin |
| Publisher | : CRC Press |
| Total Pages | : 256 |
| Release | : 2010-06-02 |
| Genre | : Mathematics |
| ISBN | : 1420093444 |
Download Statistical Inference Book in PDF, ePub and Kindle
Filling a gap in current Bayesian theory, Statistical Inference: An Integrated Bayesian/Likelihood Approach presents a unified Bayesian treatment of parameter inference and model comparisons that can be used with simple diffuse prior specifications. This novel approach provides new solutions to difficult model comparison problems and offers direct
