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The Likelihood Principle


The Likelihood Principle
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The Likelihood Principle


The Likelihood Principle
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Author : James O. Berger
language : en
Publisher: IMS
Release Date : 1988

The Likelihood Principle written by James O. Berger and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.




The Likelihood Principle


The Likelihood Principle
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Author : James O. Berger
language : en
Publisher:
Release Date : 1982

The Likelihood Principle written by James O. Berger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Bayesian statistical decision theory categories.




On The Generalization Of The Likelihood Function And The Likelihood Principle


On The Generalization Of The Likelihood Function And The Likelihood Principle
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Author : Jan F. Bjørnstad
language : en
Publisher:
Release Date : 1992

On The Generalization Of The Likelihood Function And The Likelihood Principle written by Jan F. Bjørnstad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.




Bayesian Inference In Dynamic Econometric Models


Bayesian Inference In Dynamic Econometric Models
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Author : Luc Bauwens
language : en
Publisher: OUP Oxford
Release Date : 2000-01-06

Bayesian Inference In Dynamic Econometric Models written by Luc Bauwens and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-06 with Business & Economics categories.


This book contains an up-to-date coverage of the last twenty years advances in Bayesian inference in econometrics, with an emphasis on dynamic models. It shows how to treat Bayesian inference in non linear models, by integrating the useful developments of numerical integration techniques based on simulations (such as Markov Chain Monte Carlo methods), and the long available analytical results of Bayesian inference for linear regression models. It thus covers a broad range of rather recent models for economic time series, such as non linear models, autoregressive conditional heteroskedastic regressions, and cointegrated vector autoregressive models. It contains also an extensive chapter on unit root inference from the Bayesian viewpoint. Several examples illustrate the methods.



The Likelihood Principle


The Likelihood Principle
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Author : James O. Berger
language : en
Publisher:
Release Date : 2008*

The Likelihood Principle written by James O. Berger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008* with Estimation theory categories.


This e-book is the product of Project Euclid and its mission to advance scholarly communication in the field of theoretical and applied mathematics and statistics. Project Euclid was developed and deployed by the Cornell University Library and is jointly managed by Cornell and the Duke University Press.



Selected Papers Of Hirotugu Akaike


Selected Papers Of Hirotugu Akaike
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Author : Emanuel Parzen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Selected Papers Of Hirotugu Akaike written by Emanuel Parzen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


The pioneering research of Hirotugu Akaike has an international reputation for profoundly affecting how data and time series are analyzed and modelled and is highly regarded by the statistical and technological communities of Japan and the world. His 1974 paper "A new look at the statistical model identification" (IEEE Trans Automatic Control, AC-19, 716-723) is one of the most frequently cited papers in the area of engineering, technology, and applied sciences (according to a 1981 Citation Classic of the Institute of Scientific Information). It introduced the broad scientific community to model identification using the methods of Akaike's criterion AIC. The AIC method is cited and applied in almost every area of physical and social science. The best way to learn about the seminal ideas of pioneering researchers is to read their original papers. This book reprints 29 papers of Akaike's more than 140 papers. This book of papers by Akaike is a tribute to his outstanding career and a service to provide students and researchers with access to Akaike's innovative and influential ideas and applications. To provide a commentary on the career of Akaike, the motivations of his ideas, and his many remarkable honors and prizes, this book reprints "A Conversation with Hirotugu Akaike" by David F. Findley and Emanuel Parzen, published in 1995 in the journal Statistical Science. This survey of Akaike's career provides each of us with a role model for how to have an impact on society by stimulating applied researchers to implement new statistical methods.



The Bayesian Choice


The Bayesian Choice
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Author : Christian P. Robert
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

The Bayesian Choice written by Christian P. Robert and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.


From where we stand, the rain seems random. If we could stand somewhere else, we would see the order in it. - T. Hillerman (1990) Coyote Waits. Harper-Collins, New York. This book stemmed from a translation of a French version that was written to supplement the gap in the French statistical literature about Bayesian Analysis and Decision Theory. As a result, its scope is wide enough to cover the two years of the French graduate Statistics curriculum and, more generally, most graduate programs. This book builds on very little pre requisites in Statistics and only requires basic skills in calculus, measure theory, and probability. Intended as a preparation of Ph. D. students, this book goes far enough to cover advanced topics and modern developments of Bayesian Statistics (complete class theorems, the Stein effect, hierarchical and empirical modelings, Gibbs sampling, etc. ). As usual, what started as a translation eventually ended up as a deeper revision, because of the com ments of French readers, of adjustments to the different needs of American programs, and also because my perception of things has slightly changed in the meantime. As a result, this new version is quite adequate for a general graduate audience of an American university.



Aspects Of Statistical Inference


Aspects Of Statistical Inference
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Author : A. H. Welsh
language : en
Publisher: John Wiley & Sons
Release Date : 1996-10-10

Aspects Of Statistical Inference written by A. H. Welsh and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-10 with Mathematics categories.


Relevant, concrete, and thorough--the essential data-based text onstatistical inference The ability to formulate abstract concepts and draw conclusionsfrom data is fundamental to mastering statistics. Aspects ofStatistical Inference equips advanced undergraduate and graduatestudents with a comprehensive grounding in statistical inference,including nonstandard topics such as robustness, randomization, andfinite population inference. A. H. Welsh goes beyond the standard texts and expertly synthesizesbroad, critical theory with concrete data and relevant topics. Thetext follows a historical framework, uses real-data sets andstatistical graphics, and treats multiparameter problems, yet isultimately about the concepts themselves. Written with clarity and depth, Aspects of Statistical Inference: * Provides a theoretical and historical grounding in statisticalinference that considers Bayesian, fiducial, likelihood, andfrequentist approaches * Illustrates methods with real-data sets on diabetic retinopathy,the pharmacological effects of caffeine, stellar velocity, andindustrial experiments * Considers multiparameter problems * Develops large sample approximations and shows how to use them * Presents the philosophy and application of robustness theory * Highlights the central role of randomization in statistics * Uses simple proofs to illuminate foundational concepts * Contains an appendix of useful facts concerning expansions,matrices, integrals, and distribution theory Here is the ultimate data-based text for comparing and presentingthe latest approaches to statistical inference.



In All Likelihood


In All Likelihood
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Author : Yudi Pawitan
language : en
Publisher: OUP Oxford
Release Date : 2013-01-17

In All Likelihood written by Yudi Pawitan and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-17 with Mathematics categories.


Based on a course in the theory of statistics this text concentrates on what can be achieved using the likelihood/Fisherian method of taking account of uncertainty when studying a statistical problem. It takes the concept ot the likelihood as providing the best methods for unifying the demands of statistical modelling and the theory of inference. Every likelihood concept is illustrated by realistic examples, which are not compromised by computational problems. Examples range from a simile comparison of two accident rates, to complex studies that require generalised linear or semiparametric modelling. The emphasis is that the likelihood is not simply a device to produce an estimate, but an important tool for modelling. The book generally takes an informal approach, where most important results are established using heuristic arguments and motivated with realistic examples. With the currently available computing power, examples are not contrived to allow a closed analytical solution, and the book can concentrate on the statistical aspects of the data modelling. In addition to classical likelihood theory, the book covers many modern topics such as generalized linear models and mixed models, non parametric smoothing, robustness, the EM algorithm and empirical likelihood.



Maximum Likelihood Estimation And Inference


Maximum Likelihood Estimation And Inference
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Author : Russell B. Millar
language : en
Publisher: John Wiley & Sons
Release Date : 2011-07-26

Maximum Likelihood Estimation And Inference written by Russell B. Millar and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-26 with Mathematics categories.


This book takes a fresh look at the popular and well-established method of maximum likelihood for statistical estimation and inference. It begins with an intuitive introduction to the concepts and background of likelihood, and moves through to the latest developments in maximum likelihood methodology, including general latent variable models and new material for the practical implementation of integrated likelihood using the free ADMB software. Fundamental issues of statistical inference are also examined, with a presentation of some of the philosophical debates underlying the choice of statistical paradigm. Key features: Provides an accessible introduction to pragmatic maximum likelihood modelling. Covers more advanced topics, including general forms of latent variable models (including non-linear and non-normal mixed-effects and state-space models) and the use of maximum likelihood variants, such as estimating equations, conditional likelihood, restricted likelihood and integrated likelihood. Adopts a practical approach, with a focus on providing the relevant tools required by researchers and practitioners who collect and analyze real data. Presents numerous examples and case studies across a wide range of applications including medicine, biology and ecology. Features applications from a range of disciplines, with implementation in R, SAS and/or ADMB. Provides all program code and software extensions on a supporting website. Confines supporting theory to the final chapters to maintain a readable and pragmatic focus of the preceding chapters. This book is not just an accessible and practical text about maximum likelihood, it is a comprehensive guide to modern maximum likelihood estimation and inference. It will be of interest to readers of all levels, from novice to expert. It will be of great benefit to researchers, and to students of statistics from senior undergraduate to graduate level. For use as a course text, exercises are provided at the end of each chapter.