Yudi Pawitan's Books

Generalized Linear Models with Random Effects

Unified Analysis via H-likelihood

By: Youngjo Lee,John A. Nelder,Yudi Pawitan

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Generalized Linear Models with Random Effects

Unified Analysis via H-likelihood

By: Youngjo Lee,John A. Nelder,Yudi Pawitan

Since their introduction in 1972, generalized linear models (GLMs) have proven useful in the generalization of classical normal models. Presenting methods for fitting GLMs with random effects to data, Generalized Linear Models with Random Effects: Unified Analysis via H-likelihood explores a wide range of applications, including combining information over trials (meta-analysis), analysis of frailty models for survival data, genetic epidemiology, and analysis of spatial and temporal models with correlated errors. Written by pioneering authorities in the field, this reference provides an introduction to various theories and examines likelihood inference and GLMs. The authors show how to extend the class of GLMs while retaining as much simplicity as possible. By maximizing and deriving other quantities from h-likelihood, they also demonstrate how to use a single algorithm for all members of the class, resulting in a faster algorithm as compared to existing alternatives. Complementing theory with examples, many of which can be run by using the code supplied on the accompanying CD, this book is beneficial to statisticians and researchers involved in the above applications as well as quality-improvement experiments and missing-data analysis.

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Page Count

411

Publisher

CRC Press

Published Date

ISBN 10

1420011340

ISBN 13

9781420011340

Philosophies, Puzzles and Paradoxes

A Statistician’s Search for Truth

By: Yudi Pawitan,Youngjo Lee

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Philosophies, Puzzles and Paradoxes

A Statistician’s Search for Truth

By: Yudi Pawitan,Youngjo Lee

Unlike mathematics, statistics deals with real-world data and involves a higher degree of subjectivity due to the role of interpretation. Interpretation is shaped by context as well as the knowledge, preferences, assumptions and preconceptions of the interpreter, leading to a variety of interpretations of concepts as well as results. Philosophies, Puzzles and Paradoxes: A Statistician’s Search for Truth thoroughly examines the distinct philosophical approaches to statistics – Bayesian, frequentist and likelihood – arising from different interpretations of probability and uncertainty. These differences are highlighted through numerous puzzles and paradoxes and illuminated by extensive discussions of the background philosophy of science. Features: Exploration of the philosophy of knowledge and truth and how they relate to deductive and inductive reasoning, and ultimately scientific and statistical thinking Discussion of the philosophical theories of probability that are wider than the standard Bayesian and frequentist views Exposition and examination of Savage’s axioms as the basis of subjective probability and Bayesian statistics Explanation of likelihood and likelihood-based inference, including the controversy surrounding the likelihood principle Discussion of fiducial probability and its evolution to confidence procedure Introduction of extended and hierarchical likelihood for random parameters, with the recognition of confidence as extended likelihood, leading to epistemic confidence as an objective measure of uncertainty for single events Detailed analyses and new variations of classic paradoxes, such as the Monty Hall puzzle, the paradox of the ravens, the exchange paradox, and more Substantive yet non-technical, catering to readers with only introductory exposure to the theory of probability and statistics This book primarily targets statisticians in general, including both undergraduate and graduate students, as well as researchers interested in the philosophical basis of probability and statistics. It is also suitable for philosophers of science and general readers intrigued by puzzles and paradoxes.

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352

Publisher

CRC Press

Published Date

ISBN 10

1003849032

ISBN 13

9781003849032

In All Likelihood

Statistical Modelling and Inference Using Likelihood

By: Yudi Pawitan

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In All Likelihood

Statistical Modelling and Inference Using Likelihood

By: Yudi Pawitan

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.

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626

Publisher

OUP Oxford

Published Date

ISBN 10

0191650587

ISBN 13

9780191650581

In All Likelihood

Statistical Modelling and Inference Using Likelihood

By: Yudi Pawitan

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In All Likelihood

Statistical Modelling and Inference Using Likelihood

By: Yudi Pawitan

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626

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OUP Oxford

Published Date

ISBN 10

0191650587

ISBN 13

9780191650581

Generalized Linear Models with Random Effects

Unified Analysis via H-likelihood, Second Edition

By: Youngjo Lee,John A. Nelder,Yudi Pawitan

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Generalized Linear Models with Random Effects

Unified Analysis via H-likelihood, Second Edition

By: Youngjo Lee,John A. Nelder,Yudi Pawitan

This is the second edition of a monograph on generalized linear models with random effects that extends the classic work of McCullagh and Nelder. It has been thoroughly updated, with around 80 pages added, including new material on the extended likelihood approach that strengthens the theoretical basis of the methodology, new developments in variable selection and multiple testing, and new examples and applications. It includes an R package for all the methods and examples that supplement the book.

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Page Count

467

Publisher

CRC Press

Published Date

ISBN 10

1351646265

ISBN 13

9781351646260

Philosophies, Puzzles and Paradoxes

A Statistician’s Search for Truth

By: Yudi Pawitan,Youngjo Lee

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Philosophies, Puzzles and Paradoxes

A Statistician’s Search for Truth

By: Yudi Pawitan,Youngjo Lee

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N/A

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Solve jigsaw puzzle

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Page Count

352

Publisher

CRC Press

Published Date

ISBN 10

1003849032

ISBN 13

9781003849032

Book's by Yudi Pawitan

Generalized Linear Models with Random Effects

Generalized Linear Models with Random Effects

Philosophies, Puzzles and Paradoxes

Philosophies, Puzzles and Paradoxes

In All Likelihood

In All Likelihood

In All Likelihood

In All Likelihood

Generalized Linear Models with Random Effects

Generalized Linear Models with Random Effects

Philosophies, Puzzles and Paradoxes

Philosophies, Puzzles and Paradoxes

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