Confidence Likelihood Probability

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Confidence, Likelihood, Probability

Author : Tore Schweder
Publisher : Cambridge University Press
ISBN 13 : 1316445054
Total Pages : pages
Book Rating : 4.3/5 (164 download)

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Book Synopsis Confidence, Likelihood, Probability by : Tore Schweder

Download or read book Confidence, Likelihood, Probability written by Tore Schweder and published by Cambridge University Press. This book was released on 2016-02-24 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively book lays out a methodology of confidence distributions and puts them through their paces. Among other merits, they lead to optimal combinations of confidence from different sources of information, and they can make complex models amenable to objective and indeed prior-free analysis for less subjectively inclined statisticians. The generous mixture of theory, illustrations, applications and exercises is suitable for statisticians at all levels of experience, as well as for data-oriented scientists. Some confidence distributions are less dispersed than their competitors. This concept leads to a theory of risk functions and comparisons for distributions of confidence. Neyman–Pearson type theorems leading to optimal confidence are developed and richly illustrated. Exact and optimal confidence distribution is the gold standard for inferred epistemic distributions. Confidence distributions and likelihood functions are intertwined, allowing prior distributions to be made part of the likelihood. Meta-analysis in likelihood terms is developed and taken beyond traditional methods, suiting it in particular to combining information across diverse data sources.

Empirical Likelihood

Author : Art B. Owen
Publisher : CRC Press
ISBN 13 : 1420036157
Total Pages : 322 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Empirical Likelihood by : Art B. Owen

Download or read book Empirical Likelihood written by Art B. Owen and published by CRC Press. This book was released on 2001-05-18 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Empirical likelihood provides inferences whose validity does not depend on specifying a parametric model for the data. Because it uses a likelihood, the method has certain inherent advantages over resampling methods: it uses the data to determine the shape of the confidence regions, and it makes it easy to combined data from multiple sources. It al

Confidence, Likelihood, Probability

Author : Tore Schweder
Publisher : Cambridge University Press
ISBN 13 : 0521861608
Total Pages : 521 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Confidence, Likelihood, Probability by : Tore Schweder

The Likelihood Principle

Author : James O. Berger
Publisher : IMS
ISBN 13 : 9780940600133
Total Pages : 266 pages
Book Rating : 4.6/5 (1 download)

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Book Synopsis The Likelihood Principle by : James O. Berger

Download or read book The Likelihood Principle written by James O. Berger and published by IMS. This book was released on 1988 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Statistical Evidence

Author : Richard Royall
Publisher : Routledge
ISBN 13 : 1351414550
Total Pages : 258 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Statistical Evidence by : Richard Royall

Download or read book Statistical Evidence written by Richard Royall and published by Routledge. This book was released on 2017-11-22 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interpreting statistical data as evidence, Statistical Evidence: A Likelihood Paradigm focuses on the law of likelihood, fundamental to solving many of the problems associated with interpreting data in this way. Statistics has long neglected this principle, resulting in a seriously defective methodology. This book redresses the balance, explaining why science has clung to a defective methodology despite its well-known defects. After examining the strengths and weaknesses of the work of Neyman and Pearson and the Fisher paradigm, the author proposes an alternative paradigm which provides, in the law of likelihood, the explicit concept of evidence missing from the other paradigms. At the same time, this new paradigm retains the elements of objective measurement and control of the frequency of misleading results, features which made the old paradigms so important to science. The likelihood paradigm leads to statistical methods that have a compelling rationale and an elegant simplicity, no longer forcing the reader to choose between frequentist and Bayesian statistics.

Probability and Statistical Inference

Author : Nitis Mukhopadhyay
Publisher : CRC Press
ISBN 13 : 100022872X
Total Pages : 690 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Probability and Statistical Inference by : Nitis Mukhopadhyay

Download or read book Probability and Statistical Inference written by Nitis Mukhopadhyay and published by CRC Press. This book was released on 2020-08-30 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: Priced very competitively compared with other textbooks at this level! This gracefully organized textbook reveals the rigorous theory of probability and statistical inference in the style of a tutorial, using worked examples, exercises, numerous figures and tables, and computer simulations to develop and illustrate concepts. Beginning wi

Statistical Inference

Author : S.D. Silvey
Publisher : CRC Press
ISBN 13 : 9780412138201
Total Pages : 196 pages
Book Rating : 4.1/5 (382 download)

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Book Synopsis Statistical Inference by : S.D. Silvey

Download or read book Statistical Inference written by S.D. Silvey and published by CRC Press. This book was released on 1975-03-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Minimum-variance unbiased estimation; The method of least squares; The method of maximum likelihood; Confidence sets; Hypothesis testing; The likelihood-ratio test and alternative 'large-sample' equivalents of it 108; Sequential tests; Non-parametric methods; The bayesian approach; An introduction to decision theory.

Statistical Inference Based on the likelihood

Author : Adelchi Azzalini
Publisher : Routledge
ISBN 13 : 1351414461
Total Pages : 196 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Statistical Inference Based on the likelihood by : Adelchi Azzalini

Download or read book Statistical Inference Based on the likelihood written by Adelchi Azzalini and published by Routledge. This book was released on 2017-11-13 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Likelihood plays a key role in both introducing general notions of statistical theory, and in developing specific methods. This book introduces likelihood-based statistical theory and related methods from a classical viewpoint, and demonstrates how the main body of currently used statistical techniques can be generated from a few key concepts, in particular the likelihood. Focusing on those methods, which have both a solid theoretical background and practical relevance, the author gives formal justification of the methods used and provides numerical examples with real data.

Lectures and Conferences on Mathematical Statistics and Probability

Author : Jerzy Neyman
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Lectures and Conferences on Mathematical Statistics and Probability by : Jerzy Neyman

Download or read book Lectures and Conferences on Mathematical Statistics and Probability written by Jerzy Neyman and published by . This book was released on 1952 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Statistics

Author : Richard J. Rossi
Publisher : John Wiley & Sons
ISBN 13 : 1118771044
Total Pages : 448 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Mathematical Statistics by : Richard J. Rossi

Download or read book Mathematical Statistics written by Richard J. Rossi and published by John Wiley & Sons. This book was released on 2018-10-02 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a unified approach to parametric estimation, confidence intervals, hypothesis testing, and statistical modeling, which are uniquely based on the likelihood function This book addresses mathematical statistics for upper-undergraduates and first year graduate students, tying chapters on estimation, confidence intervals, hypothesis testing, and statistical models together to present a unifying focus on the likelihood function. It also emphasizes the important ideas in statistical modeling, such as sufficiency, exponential family distributions, and large sample properties. Mathematical Statistics: An Introduction to Likelihood Based Inference makes advanced topics accessible and understandable and covers many topics in more depth than typical mathematical statistics textbooks. It includes numerous examples, case studies, a large number of exercises ranging from drill and skill to extremely difficult problems, and many of the important theorems of mathematical statistics along with their proofs. In addition to the connected chapters mentioned above, Mathematical Statistics covers likelihood-based estimation, with emphasis on multidimensional parameter spaces and range dependent support. It also includes a chapter on confidence intervals, which contains examples of exact confidence intervals along with the standard large sample confidence intervals based on the MLE's and bootstrap confidence intervals. There’s also a chapter on parametric statistical models featuring sections on non-iid observations, linear regression, logistic regression, Poisson regression, and linear models. Prepares students with the tools needed to be successful in their future work in statistics data science Includes practical case studies including real-life data collected from Yellowstone National Park, the Donner party, and the Titanic voyage Emphasizes the important ideas to statistical modeling, such as sufficiency, exponential family distributions, and large sample properties Includes sections on Bayesian estimation and credible intervals Features examples, problems, and solutions Mathematical Statistics: An Introduction to Likelihood Based Inference is an ideal textbook for upper-undergraduate and graduate courses in probability, mathematical statistics, and/or statistical inference.

Probability and Statistical Inference

Author : Robert Bartoszynski
Publisher : John Wiley & Sons
ISBN 13 : 9780470191583
Total Pages : 672 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Probability and Statistical Inference by : Robert Bartoszynski

Download or read book Probability and Statistical Inference written by Robert Bartoszynski and published by John Wiley & Sons. This book was released on 2007-11-16 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now updated in a valuable new edition—this user-friendly book focuses on understanding the "why" of mathematical statistics Probability and Statistical Inference, Second Edition introduces key probability and statis-tical concepts through non-trivial, real-world examples and promotes the developmentof intuition rather than simple application. With its coverage of the recent advancements in computer-intensive methods, this update successfully provides the comp-rehensive tools needed to develop a broad understanding of the theory of statisticsand its probabilistic foundations. This outstanding new edition continues to encouragereaders to recognize and fully understand the why, not just the how, behind the concepts,theorems, and methods of statistics. Clear explanations are presented and appliedto various examples that help to impart a deeper understanding of theorems and methods—from fundamental statistical concepts to computational details. Additional features of this Second Edition include: A new chapter on random samples Coverage of computer-intensive techniques in statistical inference featuring Monte Carlo and resampling methods, such as bootstrap and permutation tests, bootstrap confidence intervals with supporting R codes, and additional examples available via the book's FTP site Treatment of survival and hazard function, methods of obtaining estimators, and Bayes estimating Real-world examples that illuminate presented concepts Exercises at the end of each section Providing a straightforward, contemporary approach to modern-day statistical applications, Probability and Statistical Inference, Second Edition is an ideal text for advanced undergraduate- and graduate-level courses in probability and statistical inference. It also serves as a valuable reference for practitioners in any discipline who wish to gain further insight into the latest statistical tools.

An Introduction to Probability and Statistics

Author : Vijay K. Rohatgi
Publisher : John Wiley & Sons
ISBN 13 : 1118799658
Total Pages : 728 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis An Introduction to Probability and Statistics by : Vijay K. Rohatgi

Download or read book An Introduction to Probability and Statistics written by Vijay K. Rohatgi and published by John Wiley & Sons. This book was released on 2015-09-01 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: A well-balanced introduction to probability theory and mathematical statistics Featuring updated material, An Introduction to Probability and Statistics, Third Edition remains a solid overview to probability theory and mathematical statistics. Divided intothree parts, the Third Edition begins by presenting the fundamentals and foundationsof probability. The second part addresses statistical inference, and the remainingchapters focus on special topics. An Introduction to Probability and Statistics, Third Edition includes: A new section on regression analysis to include multiple regression, logistic regression, and Poisson regression A reorganized chapter on large sample theory to emphasize the growing role of asymptotic statistics Additional topical coverage on bootstrapping, estimation procedures, and resampling Discussions on invariance, ancillary statistics, conjugate prior distributions, and invariant confidence intervals Over 550 problems and answers to most problems, as well as 350 worked out examples and 200 remarks Numerous figures to further illustrate examples and proofs throughout An Introduction to Probability and Statistics, Third Edition is an ideal reference and resource for scientists and engineers in the fields of statistics, mathematics, physics, industrial management, and engineering. The book is also an excellent text for upper-undergraduate and graduate-level students majoring in probability and statistics.

In All Likelihood

Author : Yudi Pawitan
Publisher : OUP Oxford
ISBN 13 : 0191650587
Total Pages : 543 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis In All Likelihood by : Yudi Pawitan

Download or read book In All Likelihood written by Yudi Pawitan and published by OUP Oxford. This book was released on 2013-01-17 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Probability and Statistical Inference

Author : J.G. Kalbfleisch
Publisher : Springer Science & Business Media
ISBN 13 : 1468400916
Total Pages : 321 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Probability and Statistical Inference by : J.G. Kalbfleisch

Download or read book Probability and Statistical Inference written by J.G. Kalbfleisch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Probability and Statistical Inference

Author : J.G. Kalbfleisch
Publisher : Springer
ISBN 13 : 9781461251361
Total Pages : 0 pages
Book Rating : 4.2/5 (513 download)

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Book Synopsis Probability and Statistical Inference by : J.G. Kalbfleisch

Download or read book Probability and Statistical Inference written by J.G. Kalbfleisch and published by Springer. This book was released on 2012-08-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is in two volumes, and is intended as a text for introductory courses in probability and statistics at the second or third year university level. It em phasizes applications and logical principles rather than mathematical theory. A good background in freshman calculus is sufficient for most of the material presented. Several starred sections have been included as supplementary material. Nearly 900 problems and exercises of varying difficulty are given, and Appendix A contains answers to about one-third of them. The first volume (Chapters 1-8) deals with probability models and with math ematical methods for describing and manipulating them. It is similar in content and organization to the 1979 edition. Some sections have been rewritten and expanded-for example, the discussions of independent random variables and conditional probability. Many new exercises have been added. In the second volume (Chapters 9-16), probability models are used as the basis for the analysis and interpretation of data. This material has been revised extensively. Chapters 9 and 10 describe the use of the likelihood function in estimation problems, as in the 1979 edition. Chapter 11 then discusses frequency properties of estimation procedures, and introduces coverage probability and confidence intervals. Chapter 12 describes tests of significance, with applications primarily to frequency data. The likelihood ratio statistic is used to unify the material on testing, and connect it with earlier material on estimation.

Introduction to Probability and Statistics

Author : Bernard William Lindgren
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Introduction to Probability and Statistics by : Bernard William Lindgren

Download or read book Introduction to Probability and Statistics written by Bernard William Lindgren and published by . This book was released on 1969 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Confidence Intervals in Generalized Regression Models

Author : Esa Uusipaikka
Publisher : CRC Press
ISBN 13 : 1420060384
Total Pages : 328 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Confidence Intervals in Generalized Regression Models by : Esa Uusipaikka

Download or read book Confidence Intervals in Generalized Regression Models written by Esa Uusipaikka and published by CRC Press. This book was released on 2008-07-25 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Cohesive Approach to Regression Models Confidence Intervals in Generalized Regression Models introduces a unified representation-the generalized regression model (GRM)-of various types of regression models. It also uses a likelihood-based approach for performing statistical inference from statistical evidence consisting of data a